***************************************************************************** * 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: St001293 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The sum of all $1/(i+\pi(i))$ for a permutation $\pi$ times the lcm of all possible values among permutations of the same length. It turns out that the least common multiple of all values is [1], so this statistic is given by $$ k \cdot \sum_{i=1}^n \frac{1}{i+\pi(i)}$$ where $\pi$ is a permutation of length $n$ and $k = \operatorname{lcm}\{ 1,\dots,2n\}$. ----------------------------------------------------------------------------- References: [1] a(n) = lcm1, 2, ..., 2*n. [[OEIS:A099996]] ----------------------------------------------------------------------------- Code: def statistic(pi): n = len(pi) return sum( 1/(i+pi(i)) for i in [1,n] ) * lcm(i for i in [1 .. 2*n] ) ----------------------------------------------------------------------------- Statistic values: [1] => 1 [1,2] => 9 [2,1] => 8 [1,2,3] => 55 [1,3,2] => 54 [2,1,3] => 50 [2,3,1] => 47 [3,1,2] => 47 [3,2,1] => 45 [1,2,3,4] => 875 [1,2,4,3] => 870 [1,3,2,4] => 861 [1,3,4,2] => 848 [1,4,2,3] => 848 [1,4,3,2] => 840 [2,1,3,4] => 805 [2,1,4,3] => 800 [2,3,1,4] => 763 [2,3,4,1] => 736 [2,4,1,3] => 750 [2,4,3,1] => 728 [3,1,2,4] => 763 [3,1,4,2] => 750 [3,2,1,4] => 735 [3,2,4,1] => 708 [3,4,1,2] => 700 [3,4,2,1] => 686 [4,1,2,3] => 736 [4,1,3,2] => 728 [4,2,1,3] => 708 [4,2,3,1] => 686 [4,3,1,2] => 686 [4,3,2,1] => 672 [1,2,3,4,5] => 2877 [1,2,3,5,4] => 2870 [1,2,4,3,5] => 2862 [1,2,4,5,3] => 2845 [1,2,5,3,4] => 2845 [1,2,5,4,3] => 2835 [1,3,2,4,5] => 2835 [1,3,2,5,4] => 2828 [1,3,4,2,5] => 2796 [1,3,4,5,2] => 2764 [1,3,5,2,4] => 2779 [1,3,5,4,2] => 2754 [1,4,2,3,5] => 2796 [1,4,2,5,3] => 2779 [1,4,3,2,5] => 2772 [1,4,3,5,2] => 2740 [1,4,5,2,3] => 2730 [1,4,5,3,2] => 2715 [1,5,2,3,4] => 2764 [1,5,2,4,3] => 2754 [1,5,3,2,4] => 2740 [1,5,3,4,2] => 2715 [1,5,4,2,3] => 2715 [1,5,4,3,2] => 2700 [2,1,3,4,5] => 2667 [2,1,3,5,4] => 2660 [2,1,4,3,5] => 2652 [2,1,4,5,3] => 2635 [2,1,5,3,4] => 2635 [2,1,5,4,3] => 2625 [2,3,1,4,5] => 2541 [2,3,1,5,4] => 2534 [2,3,4,1,5] => 2460 [2,3,4,5,1] => 2404 [2,3,5,1,4] => 2443 [2,3,5,4,1] => 2394 [2,4,1,3,5] => 2502 [2,4,1,5,3] => 2485 [2,4,3,1,5] => 2436 [2,4,3,5,1] => 2380 [2,4,5,1,3] => 2394 [2,4,5,3,1] => 2355 [2,5,1,3,4] => 2470 [2,5,1,4,3] => 2460 [2,5,3,1,4] => 2404 [2,5,3,4,1] => 2355 [2,5,4,1,3] => 2379 [2,5,4,3,1] => 2340 [3,1,2,4,5] => 2541 [3,1,2,5,4] => 2534 [3,1,4,2,5] => 2502 [3,1,4,5,2] => 2470 [3,1,5,2,4] => 2485 [3,1,5,4,2] => 2460 [3,2,1,4,5] => 2457 [3,2,1,5,4] => 2450 [3,2,4,1,5] => 2376 [3,2,4,5,1] => 2320 [3,2,5,1,4] => 2359 [3,2,5,4,1] => 2310 [3,4,1,2,5] => 2352 [3,4,1,5,2] => 2320 [3,4,2,1,5] => 2310 [3,4,2,5,1] => 2254 [3,4,5,1,2] => 2229 [3,4,5,2,1] => 2205 [3,5,1,2,4] => 2320 [3,5,1,4,2] => 2295 [3,5,2,1,4] => 2278 [3,5,2,4,1] => 2229 [3,5,4,1,2] => 2214 [3,5,4,2,1] => 2190 [4,1,2,3,5] => 2460 [4,1,2,5,3] => 2443 [4,1,3,2,5] => 2436 [4,1,3,5,2] => 2404 [4,1,5,2,3] => 2394 [4,1,5,3,2] => 2379 [4,2,1,3,5] => 2376 [4,2,1,5,3] => 2359 [4,2,3,1,5] => 2310 [4,2,3,5,1] => 2254 [4,2,5,1,3] => 2268 [4,2,5,3,1] => 2229 [4,3,1,2,5] => 2310 [4,3,1,5,2] => 2278 [4,3,2,1,5] => 2268 [4,3,2,5,1] => 2212 [4,3,5,1,2] => 2187 [4,3,5,2,1] => 2163 [4,5,1,2,3] => 2229 [4,5,1,3,2] => 2214 [4,5,2,1,3] => 2187 [4,5,2,3,1] => 2148 [4,5,3,1,2] => 2148 [4,5,3,2,1] => 2124 [5,1,2,3,4] => 2404 [5,1,2,4,3] => 2394 [5,1,3,2,4] => 2380 [5,1,3,4,2] => 2355 [5,1,4,2,3] => 2355 [5,1,4,3,2] => 2340 [5,2,1,3,4] => 2320 [5,2,1,4,3] => 2310 [5,2,3,1,4] => 2254 [5,2,3,4,1] => 2205 [5,2,4,1,3] => 2229 [5,2,4,3,1] => 2190 [5,3,1,2,4] => 2254 [5,3,1,4,2] => 2229 [5,3,2,1,4] => 2212 [5,3,2,4,1] => 2163 [5,3,4,1,2] => 2148 [5,3,4,2,1] => 2124 [5,4,1,2,3] => 2205 [5,4,1,3,2] => 2190 [5,4,2,1,3] => 2163 [5,4,2,3,1] => 2124 [5,4,3,1,2] => 2124 [5,4,3,2,1] => 2100 [1,2,3,4,5,6] => 33957 [1,2,3,4,6,5] => 33915 [1,2,3,5,4,6] => 33880 [1,2,3,5,6,4] => 33782 [1,2,3,6,4,5] => 33782 [1,2,3,6,5,4] => 33726 [1,2,4,3,5,6] => 33792 [1,2,4,3,6,5] => 33750 [1,2,4,5,3,6] => 33605 [1,2,4,5,6,3] => 33430 [1,2,4,6,3,5] => 33507 [1,2,4,6,5,3] => 33374 [1,2,5,3,4,6] => 33605 [1,2,5,3,6,4] => 33507 [1,2,5,4,3,6] => 33495 [1,2,5,4,6,3] => 33320 [1,2,5,6,3,4] => 33264 [1,2,5,6,4,3] => 33187 [1,2,6,3,4,5] => 33430 [1,2,6,3,5,4] => 33374 [1,2,6,4,3,5] => 33320 [1,2,6,4,5,3] => 33187 [1,2,6,5,3,4] => 33187 [1,2,6,5,4,3] => 33110 [1,3,2,4,5,6] => 33495 [1,3,2,4,6,5] => 33453 [1,3,2,5,4,6] => 33418 [1,3,2,5,6,4] => 33320 [1,3,2,6,4,5] => 33320 [1,3,2,6,5,4] => 33264 [1,3,4,2,5,6] => 33066 [1,3,4,2,6,5] => 33024 [1,3,4,5,2,6] => 32714 [1,3,4,5,6,2] => 32429 [1,3,4,6,2,5] => 32616 [1,3,4,6,5,2] => 32373 [1,3,5,2,4,6] => 32879 [1,3,5,2,6,4] => 32781 [1,3,5,4,2,6] => 32604 [1,3,5,4,6,2] => 32319 [1,3,5,6,2,4] => 32373 [1,3,5,6,4,2] => 32186 [1,3,6,2,4,5] => 32704 [1,3,6,2,5,4] => 32648 [1,3,6,4,2,5] => 32429 [1,3,6,4,5,2] => 32186 [1,3,6,5,2,4] => 32296 [1,3,6,5,4,2] => 32109 [1,4,2,3,5,6] => 33066 [1,4,2,3,6,5] => 33024 [1,4,2,5,3,6] => 32879 [1,4,2,5,6,3] => 32704 [1,4,2,6,3,5] => 32781 [1,4,2,6,5,3] => 32648 [1,4,3,2,5,6] => 32802 [1,4,3,2,6,5] => 32760 [1,4,3,5,2,6] => 32450 [1,4,3,5,6,2] => 32165 [1,4,3,6,2,5] => 32352 [1,4,3,6,5,2] => 32109 [1,4,5,2,3,6] => 32340 [1,4,5,2,6,3] => 32165 [1,4,5,3,2,6] => 32175 [1,4,5,3,6,2] => 31890 [1,4,5,6,2,3] => 31757 [1,4,5,6,3,2] => 31647 [1,4,6,2,3,5] => 32165 [1,4,6,2,5,3] => 32032 [1,4,6,3,2,5] => 32000 [1,4,6,3,5,2] => 31757 [1,4,6,5,2,3] => 31680 [1,4,6,5,3,2] => 31570 [1,5,2,3,4,6] => 32714 [1,5,2,3,6,4] => 32616 [1,5,2,4,3,6] => 32604 [1,5,2,4,6,3] => 32429 [1,5,2,6,3,4] => 32373 [1,5,2,6,4,3] => 32296 [1,5,3,2,4,6] => 32450 [1,5,3,2,6,4] => 32352 [1,5,3,4,2,6] => 32175 [1,5,3,4,6,2] => 31890 [1,5,3,6,2,4] => 31944 [1,5,3,6,4,2] => 31757 [1,5,4,2,3,6] => 32175 [1,5,4,2,6,3] => 32000 [1,5,4,3,2,6] => 32010 [1,5,4,3,6,2] => 31725 [1,5,4,6,2,3] => 31592 [1,5,4,6,3,2] => 31482 [1,5,6,2,3,4] => 31757 [1,5,6,2,4,3] => 31680 [1,5,6,3,2,4] => 31592 [1,5,6,3,4,2] => 31405 [1,5,6,4,2,3] => 31405 [1,5,6,4,3,2] => 31295 [1,6,2,3,4,5] => 32429 [1,6,2,3,5,4] => 32373 [1,6,2,4,3,5] => 32319 [1,6,2,4,5,3] => 32186 [1,6,2,5,3,4] => 32186 [1,6,2,5,4,3] => 32109 [1,6,3,2,4,5] => 32165 [1,6,3,2,5,4] => 32109 [1,6,3,4,2,5] => 31890 [1,6,3,4,5,2] => 31647 [1,6,3,5,2,4] => 31757 [1,6,3,5,4,2] => 31570 [1,6,4,2,3,5] => 31890 [1,6,4,2,5,3] => 31757 [1,6,4,3,2,5] => 31725 [1,6,4,3,5,2] => 31482 [1,6,4,5,2,3] => 31405 [1,6,4,5,3,2] => 31295 [1,6,5,2,3,4] => 31647 [1,6,5,2,4,3] => 31570 [1,6,5,3,2,4] => 31482 [1,6,5,3,4,2] => 31295 [1,6,5,4,2,3] => 31295 [1,6,5,4,3,2] => 31185 [2,1,3,4,5,6] => 31647 [2,1,3,4,6,5] => 31605 [2,1,3,5,4,6] => 31570 [2,1,3,5,6,4] => 31472 [2,1,3,6,4,5] => 31472 [2,1,3,6,5,4] => 31416 [2,1,4,3,5,6] => 31482 [2,1,4,3,6,5] => 31440 [2,1,4,5,3,6] => 31295 [2,1,4,5,6,3] => 31120 [2,1,4,6,3,5] => 31197 [2,1,4,6,5,3] => 31064 [2,1,5,3,4,6] => 31295 [2,1,5,3,6,4] => 31197 [2,1,5,4,3,6] => 31185 [2,1,5,4,6,3] => 31010 [2,1,5,6,3,4] => 30954 [2,1,5,6,4,3] => 30877 [2,1,6,3,4,5] => 31120 [2,1,6,3,5,4] => 31064 [2,1,6,4,3,5] => 31010 [2,1,6,4,5,3] => 30877 [2,1,6,5,3,4] => 30877 [2,1,6,5,4,3] => 30800 [2,3,1,4,5,6] => 30261 [2,3,1,4,6,5] => 30219 [2,3,1,5,4,6] => 30184 [2,3,1,5,6,4] => 30086 [2,3,1,6,4,5] => 30086 [2,3,1,6,5,4] => 30030 [2,3,4,1,5,6] => 29370 [2,3,4,1,6,5] => 29328 [2,3,4,5,1,6] => 28754 [2,3,4,5,6,1] => 28304 [2,3,4,6,1,5] => 28656 [2,3,4,6,5,1] => 28248 [2,3,5,1,4,6] => 29183 [2,3,5,1,6,4] => 29085 [2,3,5,4,1,6] => 28644 [2,3,5,4,6,1] => 28194 [2,3,5,6,1,4] => 28413 [2,3,5,6,4,1] => 28061 [2,3,6,1,4,5] => 29008 [2,3,6,1,5,4] => 28952 [2,3,6,4,1,5] => 28469 [2,3,6,4,5,1] => 28061 [2,3,6,5,1,4] => 28336 [2,3,6,5,4,1] => 27984 [2,4,1,3,5,6] => 29832 [2,4,1,3,6,5] => 29790 [2,4,1,5,3,6] => 29645 [2,4,1,5,6,3] => 29470 [2,4,1,6,3,5] => 29547 [2,4,1,6,5,3] => 29414 [2,4,3,1,5,6] => 29106 [2,4,3,1,6,5] => 29064 [2,4,3,5,1,6] => 28490 [2,4,3,5,6,1] => 28040 [2,4,3,6,1,5] => 28392 [2,4,3,6,5,1] => 27984 [2,4,5,1,3,6] => 28644 [2,4,5,1,6,3] => 28469 [2,4,5,3,1,6] => 28215 [2,4,5,3,6,1] => 27765 [2,4,5,6,1,3] => 27797 [2,4,5,6,3,1] => 27522 [2,4,6,1,3,5] => 28469 [2,4,6,1,5,3] => 28336 [2,4,6,3,1,5] => 28040 [2,4,6,3,5,1] => 27632 [2,4,6,5,1,3] => 27720 [2,4,6,5,3,1] => 27445 [2,5,1,3,4,6] => 29480 [2,5,1,3,6,4] => 29382 [2,5,1,4,3,6] => 29370 [2,5,1,4,6,3] => 29195 [2,5,1,6,3,4] => 29139 [2,5,1,6,4,3] => 29062 [2,5,3,1,4,6] => 28754 [2,5,3,1,6,4] => 28656 [2,5,3,4,1,6] => 28215 [2,5,3,4,6,1] => 27765 [2,5,3,6,1,4] => 27984 [2,5,3,6,4,1] => 27632 [2,5,4,1,3,6] => 28479 [2,5,4,1,6,3] => 28304 [2,5,4,3,1,6] => 28050 [2,5,4,3,6,1] => 27600 [2,5,4,6,1,3] => 27632 [2,5,4,6,3,1] => 27357 [2,5,6,1,3,4] => 28061 [2,5,6,1,4,3] => 27984 [2,5,6,3,1,4] => 27632 [2,5,6,3,4,1] => 27280 [2,5,6,4,1,3] => 27445 [2,5,6,4,3,1] => 27170 [2,6,1,3,4,5] => 29195 [2,6,1,3,5,4] => 29139 [2,6,1,4,3,5] => 29085 [2,6,1,4,5,3] => 28952 [2,6,1,5,3,4] => 28952 [2,6,1,5,4,3] => 28875 [2,6,3,1,4,5] => 28469 [2,6,3,1,5,4] => 28413 [2,6,3,4,1,5] => 27930 [2,6,3,4,5,1] => 27522 [2,6,3,5,1,4] => 27797 [2,6,3,5,4,1] => 27445 [2,6,4,1,3,5] => 28194 [2,6,4,1,5,3] => 28061 [2,6,4,3,1,5] => 27765 [2,6,4,3,5,1] => 27357 [2,6,4,5,1,3] => 27445 [2,6,4,5,3,1] => 27170 [2,6,5,1,3,4] => 27951 [2,6,5,1,4,3] => 27874 [2,6,5,3,1,4] => 27522 [2,6,5,3,4,1] => 27170 [2,6,5,4,1,3] => 27335 [2,6,5,4,3,1] => 27060 [3,1,2,4,5,6] => 30261 [3,1,2,4,6,5] => 30219 [3,1,2,5,4,6] => 30184 [3,1,2,5,6,4] => 30086 [3,1,2,6,4,5] => 30086 [3,1,2,6,5,4] => 30030 [3,1,4,2,5,6] => 29832 [3,1,4,2,6,5] => 29790 [3,1,4,5,2,6] => 29480 [3,1,4,5,6,2] => 29195 [3,1,4,6,2,5] => 29382 [3,1,4,6,5,2] => 29139 [3,1,5,2,4,6] => 29645 [3,1,5,2,6,4] => 29547 [3,1,5,4,2,6] => 29370 [3,1,5,4,6,2] => 29085 [3,1,5,6,2,4] => 29139 [3,1,5,6,4,2] => 28952 [3,1,6,2,4,5] => 29470 [3,1,6,2,5,4] => 29414 [3,1,6,4,2,5] => 29195 [3,1,6,4,5,2] => 28952 [3,1,6,5,2,4] => 29062 [3,1,6,5,4,2] => 28875 [3,2,1,4,5,6] => 29337 [3,2,1,4,6,5] => 29295 [3,2,1,5,4,6] => 29260 [3,2,1,5,6,4] => 29162 [3,2,1,6,4,5] => 29162 [3,2,1,6,5,4] => 29106 [3,2,4,1,5,6] => 28446 [3,2,4,1,6,5] => 28404 [3,2,4,5,1,6] => 27830 [3,2,4,5,6,1] => 27380 [3,2,4,6,1,5] => 27732 [3,2,4,6,5,1] => 27324 [3,2,5,1,4,6] => 28259 [3,2,5,1,6,4] => 28161 [3,2,5,4,1,6] => 27720 [3,2,5,4,6,1] => 27270 [3,2,5,6,1,4] => 27489 [3,2,5,6,4,1] => 27137 [3,2,6,1,4,5] => 28084 [3,2,6,1,5,4] => 28028 [3,2,6,4,1,5] => 27545 [3,2,6,4,5,1] => 27137 [3,2,6,5,1,4] => 27412 [3,2,6,5,4,1] => 27060 [3,4,1,2,5,6] => 28182 [3,4,1,2,6,5] => 28140 [3,4,1,5,2,6] => 27830 [3,4,1,5,6,2] => 27545 [3,4,1,6,2,5] => 27732 [3,4,1,6,5,2] => 27489 [3,4,2,1,5,6] => 27720 [3,4,2,1,6,5] => 27678 [3,4,2,5,1,6] => 27104 [3,4,2,5,6,1] => 26654 [3,4,2,6,1,5] => 27006 [3,4,2,6,5,1] => 26598 [3,4,5,1,2,6] => 26829 [3,4,5,1,6,2] => 26544 [3,4,5,2,1,6] => 26565 [3,4,5,2,6,1] => 26115 [3,4,5,6,1,2] => 25872 [3,4,5,6,2,1] => 25707 [3,4,6,1,2,5] => 26654 [3,4,6,1,5,2] => 26411 [3,4,6,2,1,5] => 26390 [3,4,6,2,5,1] => 25982 [3,4,6,5,1,2] => 25795 [3,4,6,5,2,1] => 25630 [3,5,1,2,4,6] => 27830 [3,5,1,2,6,4] => 27732 [3,5,1,4,2,6] => 27555 [3,5,1,4,6,2] => 27270 [3,5,1,6,2,4] => 27324 [3,5,1,6,4,2] => 27137 [3,5,2,1,4,6] => 27368 [3,5,2,1,6,4] => 27270 [3,5,2,4,1,6] => 26829 [3,5,2,4,6,1] => 26379 [3,5,2,6,1,4] => 26598 [3,5,2,6,4,1] => 26246 [3,5,4,1,2,6] => 26664 [3,5,4,1,6,2] => 26379 [3,5,4,2,1,6] => 26400 [3,5,4,2,6,1] => 25950 [3,5,4,6,1,2] => 25707 [3,5,4,6,2,1] => 25542 [3,5,6,1,2,4] => 26246 [3,5,6,1,4,2] => 26059 [3,5,6,2,1,4] => 25982 [3,5,6,2,4,1] => 25630 [3,5,6,4,1,2] => 25520 [3,5,6,4,2,1] => 25355 [3,6,1,2,4,5] => 27545 [3,6,1,2,5,4] => 27489 [3,6,1,4,2,5] => 27270 [3,6,1,4,5,2] => 27027 [3,6,1,5,2,4] => 27137 [3,6,1,5,4,2] => 26950 [3,6,2,1,4,5] => 27083 [3,6,2,1,5,4] => 27027 [3,6,2,4,1,5] => 26544 [3,6,2,4,5,1] => 26136 [3,6,2,5,1,4] => 26411 [3,6,2,5,4,1] => 26059 [3,6,4,1,2,5] => 26379 [3,6,4,1,5,2] => 26136 [3,6,4,2,1,5] => 26115 [3,6,4,2,5,1] => 25707 [3,6,4,5,1,2] => 25520 [3,6,4,5,2,1] => 25355 [3,6,5,1,2,4] => 26136 [3,6,5,1,4,2] => 25949 [3,6,5,2,1,4] => 25872 [3,6,5,2,4,1] => 25520 [3,6,5,4,1,2] => 25410 [3,6,5,4,2,1] => 25245 [4,1,2,3,5,6] => 29370 [4,1,2,3,6,5] => 29328 [4,1,2,5,3,6] => 29183 [4,1,2,5,6,3] => 29008 [4,1,2,6,3,5] => 29085 [4,1,2,6,5,3] => 28952 [4,1,3,2,5,6] => 29106 [4,1,3,2,6,5] => 29064 [4,1,3,5,2,6] => 28754 [4,1,3,5,6,2] => 28469 [4,1,3,6,2,5] => 28656 [4,1,3,6,5,2] => 28413 [4,1,5,2,3,6] => 28644 [4,1,5,2,6,3] => 28469 [4,1,5,3,2,6] => 28479 [4,1,5,3,6,2] => 28194 [4,1,5,6,2,3] => 28061 [4,1,5,6,3,2] => 27951 [4,1,6,2,3,5] => 28469 [4,1,6,2,5,3] => 28336 [4,1,6,3,2,5] => 28304 [4,1,6,3,5,2] => 28061 [4,1,6,5,2,3] => 27984 [4,1,6,5,3,2] => 27874 [4,2,1,3,5,6] => 28446 [4,2,1,3,6,5] => 28404 [4,2,1,5,3,6] => 28259 [4,2,1,5,6,3] => 28084 [4,2,1,6,3,5] => 28161 [4,2,1,6,5,3] => 28028 [4,2,3,1,5,6] => 27720 [4,2,3,1,6,5] => 27678 [4,2,3,5,1,6] => 27104 [4,2,3,5,6,1] => 26654 [4,2,3,6,1,5] => 27006 [4,2,3,6,5,1] => 26598 [4,2,5,1,3,6] => 27258 [4,2,5,1,6,3] => 27083 [4,2,5,3,1,6] => 26829 [4,2,5,3,6,1] => 26379 [4,2,5,6,1,3] => 26411 [4,2,5,6,3,1] => 26136 [4,2,6,1,3,5] => 27083 [4,2,6,1,5,3] => 26950 [4,2,6,3,1,5] => 26654 [4,2,6,3,5,1] => 26246 [4,2,6,5,1,3] => 26334 [4,2,6,5,3,1] => 26059 [4,3,1,2,5,6] => 27720 [4,3,1,2,6,5] => 27678 [4,3,1,5,2,6] => 27368 [4,3,1,5,6,2] => 27083 [4,3,1,6,2,5] => 27270 [4,3,1,6,5,2] => 27027 [4,3,2,1,5,6] => 27258 [4,3,2,1,6,5] => 27216 [4,3,2,5,1,6] => 26642 [4,3,2,5,6,1] => 26192 [4,3,2,6,1,5] => 26544 [4,3,2,6,5,1] => 26136 [4,3,5,1,2,6] => 26367 [4,3,5,1,6,2] => 26082 [4,3,5,2,1,6] => 26103 [4,3,5,2,6,1] => 25653 [4,3,5,6,1,2] => 25410 [4,3,5,6,2,1] => 25245 [4,3,6,1,2,5] => 26192 [4,3,6,1,5,2] => 25949 [4,3,6,2,1,5] => 25928 [4,3,6,2,5,1] => 25520 [4,3,6,5,1,2] => 25333 [4,3,6,5,2,1] => 25168 [4,5,1,2,3,6] => 26829 [4,5,1,2,6,3] => 26654 [4,5,1,3,2,6] => 26664 [4,5,1,3,6,2] => 26379 [4,5,1,6,2,3] => 26246 [4,5,1,6,3,2] => 26136 [4,5,2,1,3,6] => 26367 [4,5,2,1,6,3] => 26192 [4,5,2,3,1,6] => 25938 [4,5,2,3,6,1] => 25488 [4,5,2,6,1,3] => 25520 [4,5,2,6,3,1] => 25245 [4,5,3,1,2,6] => 25938 [4,5,3,1,6,2] => 25653 [4,5,3,2,1,6] => 25674 [4,5,3,2,6,1] => 25224 [4,5,3,6,1,2] => 24981 [4,5,3,6,2,1] => 24816 [4,5,6,1,2,3] => 25168 [4,5,6,1,3,2] => 25058 [4,5,6,2,1,3] => 24904 [4,5,6,2,3,1] => 24629 [4,5,6,3,1,2] => 24629 [4,5,6,3,2,1] => 24464 [4,6,1,2,3,5] => 26544 [4,6,1,2,5,3] => 26411 [4,6,1,3,2,5] => 26379 [4,6,1,3,5,2] => 26136 [4,6,1,5,2,3] => 26059 [4,6,1,5,3,2] => 25949 [4,6,2,1,3,5] => 26082 [4,6,2,1,5,3] => 25949 [4,6,2,3,1,5] => 25653 [4,6,2,3,5,1] => 25245 [4,6,2,5,1,3] => 25333 [4,6,2,5,3,1] => 25058 [4,6,3,1,2,5] => 25653 [4,6,3,1,5,2] => 25410 [4,6,3,2,1,5] => 25389 [4,6,3,2,5,1] => 24981 [4,6,3,5,1,2] => 24794 [4,6,3,5,2,1] => 24629 [4,6,5,1,2,3] => 25058 [4,6,5,1,3,2] => 24948 [4,6,5,2,1,3] => 24794 [4,6,5,2,3,1] => 24519 [4,6,5,3,1,2] => 24519 [4,6,5,3,2,1] => 24354 [5,1,2,3,4,6] => 28754 [5,1,2,3,6,4] => 28656 [5,1,2,4,3,6] => 28644 [5,1,2,4,6,3] => 28469 [5,1,2,6,3,4] => 28413 [5,1,2,6,4,3] => 28336 [5,1,3,2,4,6] => 28490 [5,1,3,2,6,4] => 28392 [5,1,3,4,2,6] => 28215 [5,1,3,4,6,2] => 27930 [5,1,3,6,2,4] => 27984 [5,1,3,6,4,2] => 27797 [5,1,4,2,3,6] => 28215 [5,1,4,2,6,3] => 28040 [5,1,4,3,2,6] => 28050 [5,1,4,3,6,2] => 27765 [5,1,4,6,2,3] => 27632 [5,1,4,6,3,2] => 27522 [5,1,6,2,3,4] => 27797 [5,1,6,2,4,3] => 27720 [5,1,6,3,2,4] => 27632 [5,1,6,3,4,2] => 27445 [5,1,6,4,2,3] => 27445 [5,1,6,4,3,2] => 27335 [5,2,1,3,4,6] => 27830 [5,2,1,3,6,4] => 27732 [5,2,1,4,3,6] => 27720 [5,2,1,4,6,3] => 27545 [5,2,1,6,3,4] => 27489 [5,2,1,6,4,3] => 27412 [5,2,3,1,4,6] => 27104 [5,2,3,1,6,4] => 27006 [5,2,3,4,1,6] => 26565 [5,2,3,4,6,1] => 26115 [5,2,3,6,1,4] => 26334 [5,2,3,6,4,1] => 25982 [5,2,4,1,3,6] => 26829 [5,2,4,1,6,3] => 26654 [5,2,4,3,1,6] => 26400 [5,2,4,3,6,1] => 25950 [5,2,4,6,1,3] => 25982 [5,2,4,6,3,1] => 25707 [5,2,6,1,3,4] => 26411 [5,2,6,1,4,3] => 26334 [5,2,6,3,1,4] => 25982 [5,2,6,3,4,1] => 25630 [5,2,6,4,1,3] => 25795 [5,2,6,4,3,1] => 25520 [5,3,1,2,4,6] => 27104 [5,3,1,2,6,4] => 27006 [5,3,1,4,2,6] => 26829 [5,3,1,4,6,2] => 26544 [5,3,1,6,2,4] => 26598 [5,3,1,6,4,2] => 26411 [5,3,2,1,4,6] => 26642 [5,3,2,1,6,4] => 26544 [5,3,2,4,1,6] => 26103 [5,3,2,4,6,1] => 25653 [5,3,2,6,1,4] => 25872 [5,3,2,6,4,1] => 25520 [5,3,4,1,2,6] => 25938 [5,3,4,1,6,2] => 25653 [5,3,4,2,1,6] => 25674 [5,3,4,2,6,1] => 25224 [5,3,4,6,1,2] => 24981 [5,3,4,6,2,1] => 24816 [5,3,6,1,2,4] => 25520 [5,3,6,1,4,2] => 25333 [5,3,6,2,1,4] => 25256 [5,3,6,2,4,1] => 24904 [5,3,6,4,1,2] => 24794 [5,3,6,4,2,1] => 24629 [5,4,1,2,3,6] => 26565 [5,4,1,2,6,3] => 26390 [5,4,1,3,2,6] => 26400 [5,4,1,3,6,2] => 26115 [5,4,1,6,2,3] => 25982 [5,4,1,6,3,2] => 25872 [5,4,2,1,3,6] => 26103 [5,4,2,1,6,3] => 25928 [5,4,2,3,1,6] => 25674 [5,4,2,3,6,1] => 25224 [5,4,2,6,1,3] => 25256 [5,4,2,6,3,1] => 24981 [5,4,3,1,2,6] => 25674 [5,4,3,1,6,2] => 25389 [5,4,3,2,1,6] => 25410 [5,4,3,2,6,1] => 24960 [5,4,3,6,1,2] => 24717 [5,4,3,6,2,1] => 24552 [5,4,6,1,2,3] => 24904 [5,4,6,1,3,2] => 24794 [5,4,6,2,1,3] => 24640 [5,4,6,2,3,1] => 24365 [5,4,6,3,1,2] => 24365 [5,4,6,3,2,1] => 24200 [5,6,1,2,3,4] => 25872 [5,6,1,2,4,3] => 25795 [5,6,1,3,2,4] => 25707 [5,6,1,3,4,2] => 25520 [5,6,1,4,2,3] => 25520 [5,6,1,4,3,2] => 25410 [5,6,2,1,3,4] => 25410 [5,6,2,1,4,3] => 25333 [5,6,2,3,1,4] => 24981 [5,6,2,3,4,1] => 24629 [5,6,2,4,1,3] => 24794 [5,6,2,4,3,1] => 24519 [5,6,3,1,2,4] => 24981 [5,6,3,1,4,2] => 24794 [5,6,3,2,1,4] => 24717 [5,6,3,2,4,1] => 24365 [5,6,3,4,1,2] => 24255 [5,6,3,4,2,1] => 24090 [5,6,4,1,2,3] => 24629 [5,6,4,1,3,2] => 24519 [5,6,4,2,1,3] => 24365 [5,6,4,2,3,1] => 24090 [5,6,4,3,1,2] => 24090 [5,6,4,3,2,1] => 23925 [6,1,2,3,4,5] => 28304 [6,1,2,3,5,4] => 28248 [6,1,2,4,3,5] => 28194 [6,1,2,4,5,3] => 28061 [6,1,2,5,3,4] => 28061 [6,1,2,5,4,3] => 27984 [6,1,3,2,4,5] => 28040 [6,1,3,2,5,4] => 27984 [6,1,3,4,2,5] => 27765 [6,1,3,4,5,2] => 27522 [6,1,3,5,2,4] => 27632 [6,1,3,5,4,2] => 27445 [6,1,4,2,3,5] => 27765 [6,1,4,2,5,3] => 27632 [6,1,4,3,2,5] => 27600 [6,1,4,3,5,2] => 27357 [6,1,4,5,2,3] => 27280 [6,1,4,5,3,2] => 27170 [6,1,5,2,3,4] => 27522 [6,1,5,2,4,3] => 27445 [6,1,5,3,2,4] => 27357 [6,1,5,3,4,2] => 27170 [6,1,5,4,2,3] => 27170 [6,1,5,4,3,2] => 27060 [6,2,1,3,4,5] => 27380 [6,2,1,3,5,4] => 27324 [6,2,1,4,3,5] => 27270 [6,2,1,4,5,3] => 27137 [6,2,1,5,3,4] => 27137 [6,2,1,5,4,3] => 27060 [6,2,3,1,4,5] => 26654 [6,2,3,1,5,4] => 26598 [6,2,3,4,1,5] => 26115 [6,2,3,4,5,1] => 25707 [6,2,3,5,1,4] => 25982 [6,2,3,5,4,1] => 25630 [6,2,4,1,3,5] => 26379 [6,2,4,1,5,3] => 26246 [6,2,4,3,1,5] => 25950 [6,2,4,3,5,1] => 25542 [6,2,4,5,1,3] => 25630 [6,2,4,5,3,1] => 25355 [6,2,5,1,3,4] => 26136 [6,2,5,1,4,3] => 26059 [6,2,5,3,1,4] => 25707 [6,2,5,3,4,1] => 25355 [6,2,5,4,1,3] => 25520 [6,2,5,4,3,1] => 25245 [6,3,1,2,4,5] => 26654 [6,3,1,2,5,4] => 26598 [6,3,1,4,2,5] => 26379 [6,3,1,4,5,2] => 26136 [6,3,1,5,2,4] => 26246 [6,3,1,5,4,2] => 26059 [6,3,2,1,4,5] => 26192 [6,3,2,1,5,4] => 26136 [6,3,2,4,1,5] => 25653 [6,3,2,4,5,1] => 25245 [6,3,2,5,1,4] => 25520 [6,3,2,5,4,1] => 25168 [6,3,4,1,2,5] => 25488 [6,3,4,1,5,2] => 25245 [6,3,4,2,1,5] => 25224 [6,3,4,2,5,1] => 24816 [6,3,4,5,1,2] => 24629 [6,3,4,5,2,1] => 24464 [6,3,5,1,2,4] => 25245 [6,3,5,1,4,2] => 25058 [6,3,5,2,1,4] => 24981 [6,3,5,2,4,1] => 24629 [6,3,5,4,1,2] => 24519 [6,3,5,4,2,1] => 24354 [6,4,1,2,3,5] => 26115 [6,4,1,2,5,3] => 25982 [6,4,1,3,2,5] => 25950 [6,4,1,3,5,2] => 25707 [6,4,1,5,2,3] => 25630 [6,4,1,5,3,2] => 25520 [6,4,2,1,3,5] => 25653 [6,4,2,1,5,3] => 25520 [6,4,2,3,1,5] => 25224 [6,4,2,3,5,1] => 24816 [6,4,2,5,1,3] => 24904 [6,4,2,5,3,1] => 24629 [6,4,3,1,2,5] => 25224 [6,4,3,1,5,2] => 24981 [6,4,3,2,1,5] => 24960 [6,4,3,2,5,1] => 24552 [6,4,3,5,1,2] => 24365 [6,4,3,5,2,1] => 24200 [6,4,5,1,2,3] => 24629 [6,4,5,1,3,2] => 24519 [6,4,5,2,1,3] => 24365 [6,4,5,2,3,1] => 24090 [6,4,5,3,1,2] => 24090 [6,4,5,3,2,1] => 23925 [6,5,1,2,3,4] => 25707 [6,5,1,2,4,3] => 25630 [6,5,1,3,2,4] => 25542 [6,5,1,3,4,2] => 25355 [6,5,1,4,2,3] => 25355 [6,5,1,4,3,2] => 25245 [6,5,2,1,3,4] => 25245 [6,5,2,1,4,3] => 25168 [6,5,2,3,1,4] => 24816 [6,5,2,3,4,1] => 24464 [6,5,2,4,1,3] => 24629 [6,5,2,4,3,1] => 24354 [6,5,3,1,2,4] => 24816 [6,5,3,1,4,2] => 24629 [6,5,3,2,1,4] => 24552 [6,5,3,2,4,1] => 24200 [6,5,3,4,1,2] => 24090 [6,5,3,4,2,1] => 23925 [6,5,4,1,2,3] => 24464 [6,5,4,1,3,2] => 24354 [6,5,4,2,1,3] => 24200 [6,5,4,2,3,1] => 23925 [6,5,4,3,1,2] => 23925 [6,5,4,3,2,1] => 23760 [1,2,3,4,5,6,7] => 467181 [1,2,3,4,5,7,6] => 466851 [1,2,3,4,6,5,7] => 466635 [1,2,3,4,6,7,5] => 465885 [1,2,3,4,7,5,6] => 465885 [1,2,3,4,7,6,5] => 465465 [1,2,3,5,4,6,7] => 466180 [1,2,3,5,4,7,6] => 465850 [1,2,3,5,6,4,7] => 464906 [1,2,3,5,6,7,4] => 463610 [1,2,3,5,7,4,6] => 464156 [1,2,3,5,7,6,4] => 463190 [1,2,3,6,4,5,7] => 464906 [1,2,3,6,4,7,5] => 464156 [1,2,3,6,5,4,7] => 464178 [1,2,3,6,5,7,4] => 462882 [1,2,3,6,7,4,5] => 462462 [1,2,3,6,7,5,4] => 461916 [1,2,3,7,4,5,6] => 463610 [1,2,3,7,4,6,5] => 463190 [1,2,3,7,5,4,6] => 462882 [1,2,3,7,5,6,4] => 461916 [1,2,3,7,6,4,5] => 461916 [1,2,3,7,6,5,4] => 461370 [1,2,4,3,5,6,7] => 465036 [1,2,4,3,5,7,6] => 464706 [1,2,4,3,6,5,7] => 464490 [1,2,4,3,6,7,5] => 463740 [1,2,4,3,7,5,6] => 463740 [1,2,4,3,7,6,5] => 463320 [1,2,4,5,3,6,7] => 462605 [1,2,4,5,3,7,6] => 462275 [1,2,4,5,6,3,7] => 460330 [1,2,4,5,6,7,3] => 458306 [1,2,4,5,7,3,6] => 459580 [1,2,4,5,7,6,3] => 457886 [1,2,4,6,3,5,7] => 461331 [1,2,4,6,3,7,5] => 460581 [1,2,4,6,5,3,7] => 459602 [1,2,4,6,5,7,3] => 457578 [1,2,4,6,7,3,5] => 457886 [1,2,4,6,7,5,3] => 456612 [1,2,4,7,3,5,6] => 460035 [1,2,4,7,3,6,5] => 459615 [1,2,4,7,5,3,6] => 458306 [1,2,4,7,5,6,3] => 456612 [1,2,4,7,6,3,5] => 457340 [1,2,4,7,6,5,3] => 456066 [1,2,5,3,4,6,7] => 462605 [1,2,5,3,4,7,6] => 462275 [1,2,5,3,6,4,7] => 461331 [1,2,5,3,6,7,4] => 460035 [1,2,5,3,7,4,6] => 460581 [1,2,5,3,7,6,4] => 459615 [1,2,5,4,3,6,7] => 461175 [1,2,5,4,3,7,6] => 460845 [1,2,5,4,6,3,7] => 458900 [1,2,5,4,6,7,3] => 456876 [1,2,5,4,7,3,6] => 458150 [1,2,5,4,7,6,3] => 456456 [1,2,5,6,3,4,7] => 458172 [1,2,5,6,3,7,4] => 456876 [1,2,5,6,4,3,7] => 457171 [1,2,5,6,4,7,3] => 455147 [1,2,5,6,7,3,4] => 454181 [1,2,5,6,7,4,3] => 453453 [1,2,5,7,3,4,6] => 456876 [1,2,5,7,3,6,4] => 455910 [1,2,5,7,4,3,6] => 455875 [1,2,5,7,4,6,3] => 454181 [1,2,5,7,6,3,4] => 453635 [1,2,5,7,6,4,3] => 452907 [1,2,6,3,4,5,7] => 460330 [1,2,6,3,4,7,5] => 459580 [1,2,6,3,5,4,7] => 459602 [1,2,6,3,5,7,4] => 458306 [1,2,6,3,7,4,5] => 457886 [1,2,6,3,7,5,4] => 457340 [1,2,6,4,3,5,7] => 458900 [1,2,6,4,3,7,5] => 458150 [1,2,6,4,5,3,7] => 457171 [1,2,6,4,5,7,3] => 455147 [1,2,6,4,7,3,5] => 455455 [1,2,6,4,7,5,3] => 454181 [1,2,6,5,3,4,7] => 457171 [1,2,6,5,3,7,4] => 455875 [1,2,6,5,4,3,7] => 456170 [1,2,6,5,4,7,3] => 454146 [1,2,6,5,7,3,4] => 453180 [1,2,6,5,7,4,3] => 452452 [1,2,6,7,3,4,5] => 454181 [1,2,6,7,3,5,4] => 453635 [1,2,6,7,4,3,5] => 453180 [1,2,6,7,4,5,3] => 451906 [1,2,6,7,5,3,4] => 451906 [1,2,6,7,5,4,3] => 451178 [1,2,7,3,4,5,6] => 458306 [1,2,7,3,4,6,5] => 457886 [1,2,7,3,5,4,6] => 457578 [1,2,7,3,5,6,4] => 456612 [1,2,7,3,6,4,5] => 456612 [1,2,7,3,6,5,4] => 456066 [1,2,7,4,3,5,6] => 456876 [1,2,7,4,3,6,5] => 456456 [1,2,7,4,5,3,6] => 455147 [1,2,7,4,5,6,3] => 453453 [1,2,7,4,6,3,5] => 454181 [1,2,7,4,6,5,3] => 452907 [1,2,7,5,3,4,6] => 455147 [1,2,7,5,3,6,4] => 454181 [1,2,7,5,4,3,6] => 454146 [1,2,7,5,4,6,3] => 452452 [1,2,7,5,6,3,4] => 451906 [1,2,7,5,6,4,3] => 451178 [1,2,7,6,3,4,5] => 453453 [1,2,7,6,3,5,4] => 452907 [1,2,7,6,4,3,5] => 452452 [1,2,7,6,4,5,3] => 451178 [1,2,7,6,5,3,4] => 451178 [1,2,7,6,5,4,3] => 450450 [1,3,2,4,5,6,7] => 461175 [1,3,2,4,5,7,6] => 460845 [1,3,2,4,6,5,7] => 460629 [1,3,2,4,6,7,5] => 459879 [1,3,2,4,7,5,6] => 459879 [1,3,2,4,7,6,5] => 459459 [1,3,2,5,4,6,7] => 460174 [1,3,2,5,4,7,6] => 459844 [1,3,2,5,6,4,7] => 458900 [1,3,2,5,6,7,4] => 457604 [1,3,2,5,7,4,6] => 458150 [1,3,2,5,7,6,4] => 457184 [1,3,2,6,4,5,7] => 458900 [1,3,2,6,4,7,5] => 458150 [1,3,2,6,5,4,7] => 458172 [1,3,2,6,5,7,4] => 456876 [1,3,2,6,7,4,5] => 456456 [1,3,2,6,7,5,4] => 455910 [1,3,2,7,4,5,6] => 457604 [1,3,2,7,4,6,5] => 457184 [1,3,2,7,5,4,6] => 456876 [1,3,2,7,5,6,4] => 455910 [1,3,2,7,6,4,5] => 455910 [1,3,2,7,6,5,4] => 455364 [1,3,4,2,5,6,7] => 455598 [1,3,4,2,5,7,6] => 455268 [1,3,4,2,6,5,7] => 455052 [1,3,4,2,6,7,5] => 454302 [1,3,4,2,7,5,6] => 454302 [1,3,4,2,7,6,5] => 453882 [1,3,4,5,2,6,7] => 451022 [1,3,4,5,2,7,6] => 450692 [1,3,4,5,6,2,7] => 447317 [1,3,4,5,6,7,2] => 444292 [1,3,4,5,7,2,6] => 446567 [1,3,4,5,7,6,2] => 443872 [1,3,4,6,2,5,7] => 449748 [1,3,4,6,2,7,5] => 448998 [1,3,4,6,5,2,7] => 446589 [1,3,4,6,5,7,2] => 443564 [1,3,4,6,7,2,5] => 444873 [1,3,4,6,7,5,2] => 442598 [1,3,4,7,2,5,6] => 448452 [1,3,4,7,2,6,5] => 448032 [1,3,4,7,5,2,6] => 445293 [1,3,4,7,5,6,2] => 442598 [1,3,4,7,6,2,5] => 444327 [1,3,4,7,6,5,2] => 442052 [1,3,5,2,4,6,7] => 453167 [1,3,5,2,4,7,6] => 452837 [1,3,5,2,6,4,7] => 451893 [1,3,5,2,6,7,4] => 450597 [1,3,5,2,7,4,6] => 451143 [1,3,5,2,7,6,4] => 450177 [1,3,5,4,2,6,7] => 449592 [1,3,5,4,2,7,6] => 449262 [1,3,5,4,6,2,7] => 445887 [1,3,5,4,6,7,2] => 442862 [1,3,5,4,7,2,6] => 445137 [1,3,5,4,7,6,2] => 442442 [1,3,5,6,2,4,7] => 446589 [1,3,5,6,2,7,4] => 445293 [1,3,5,6,4,2,7] => 444158 [1,3,5,6,4,7,2] => 441133 [1,3,5,6,7,2,4] => 441168 [1,3,5,6,7,4,2] => 439439 [1,3,5,7,2,4,6] => 445293 [1,3,5,7,2,6,4] => 444327 [1,3,5,7,4,2,6] => 442862 [1,3,5,7,4,6,2] => 440167 [1,3,5,7,6,2,4] => 440622 [1,3,5,7,6,4,2] => 438893 [1,3,6,2,4,5,7] => 450892 [1,3,6,2,4,7,5] => 450142 [1,3,6,2,5,4,7] => 450164 [1,3,6,2,5,7,4] => 448868 [1,3,6,2,7,4,5] => 448448 [1,3,6,2,7,5,4] => 447902 [1,3,6,4,2,5,7] => 447317 [1,3,6,4,2,7,5] => 446567 [1,3,6,4,5,2,7] => 444158 [1,3,6,4,5,7,2] => 441133 [1,3,6,4,7,2,5] => 442442 [1,3,6,4,7,5,2] => 440167 [1,3,6,5,2,4,7] => 445588 [1,3,6,5,2,7,4] => 444292 [1,3,6,5,4,2,7] => 443157 [1,3,6,5,4,7,2] => 440132 [1,3,6,5,7,2,4] => 440167 [1,3,6,5,7,4,2] => 438438 [1,3,6,7,2,4,5] => 442598 [1,3,6,7,2,5,4] => 442052 [1,3,6,7,4,2,5] => 440167 [1,3,6,7,4,5,2] => 437892 [1,3,6,7,5,2,4] => 438893 [1,3,6,7,5,4,2] => 437164 [1,3,7,2,4,5,6] => 448868 [1,3,7,2,4,6,5] => 448448 [1,3,7,2,5,4,6] => 448140 [1,3,7,2,5,6,4] => 447174 [1,3,7,2,6,4,5] => 447174 [1,3,7,2,6,5,4] => 446628 [1,3,7,4,2,5,6] => 445293 [1,3,7,4,2,6,5] => 444873 [1,3,7,4,5,2,6] => 442134 [1,3,7,4,5,6,2] => 439439 [1,3,7,4,6,2,5] => 441168 [1,3,7,4,6,5,2] => 438893 [1,3,7,5,2,4,6] => 443564 [1,3,7,5,2,6,4] => 442598 [1,3,7,5,4,2,6] => 441133 [1,3,7,5,4,6,2] => 438438 [1,3,7,5,6,2,4] => 438893 [1,3,7,5,6,4,2] => 437164 [1,3,7,6,2,4,5] => 441870 [1,3,7,6,2,5,4] => 441324 [1,3,7,6,4,2,5] => 439439 [1,3,7,6,4,5,2] => 437164 [1,3,7,6,5,2,4] => 438165 [1,3,7,6,5,4,2] => 436436 [1,4,2,3,5,6,7] => 455598 [1,4,2,3,5,7,6] => 455268 [1,4,2,3,6,5,7] => 455052 [1,4,2,3,6,7,5] => 454302 [1,4,2,3,7,5,6] => 454302 [1,4,2,3,7,6,5] => 453882 [1,4,2,5,3,6,7] => 453167 [1,4,2,5,3,7,6] => 452837 [1,4,2,5,6,3,7] => 450892 [1,4,2,5,6,7,3] => 448868 [1,4,2,5,7,3,6] => 450142 [1,4,2,5,7,6,3] => 448448 [1,4,2,6,3,5,7] => 451893 [1,4,2,6,3,7,5] => 451143 [1,4,2,6,5,3,7] => 450164 [1,4,2,6,5,7,3] => 448140 [1,4,2,6,7,3,5] => 448448 [1,4,2,6,7,5,3] => 447174 [1,4,2,7,3,5,6] => 450597 [1,4,2,7,3,6,5] => 450177 [1,4,2,7,5,3,6] => 448868 [1,4,2,7,5,6,3] => 447174 [1,4,2,7,6,3,5] => 447902 [1,4,2,7,6,5,3] => 446628 [1,4,3,2,5,6,7] => 452166 [1,4,3,2,5,7,6] => 451836 [1,4,3,2,6,5,7] => 451620 [1,4,3,2,6,7,5] => 450870 [1,4,3,2,7,5,6] => 450870 [1,4,3,2,7,6,5] => 450450 [1,4,3,5,2,6,7] => 447590 [1,4,3,5,2,7,6] => 447260 [1,4,3,5,6,2,7] => 443885 [1,4,3,5,6,7,2] => 440860 [1,4,3,5,7,2,6] => 443135 [1,4,3,5,7,6,2] => 440440 [1,4,3,6,2,5,7] => 446316 [1,4,3,6,2,7,5] => 445566 [1,4,3,6,5,2,7] => 443157 [1,4,3,6,5,7,2] => 440132 [1,4,3,6,7,2,5] => 441441 [1,4,3,6,7,5,2] => 439166 [1,4,3,7,2,5,6] => 445020 [1,4,3,7,2,6,5] => 444600 [1,4,3,7,5,2,6] => 441861 [1,4,3,7,5,6,2] => 439166 [1,4,3,7,6,2,5] => 440895 [1,4,3,7,6,5,2] => 438620 [1,4,5,2,3,6,7] => 446160 [1,4,5,2,3,7,6] => 445830 [1,4,5,2,6,3,7] => 443885 [1,4,5,2,6,7,3] => 441861 [1,4,5,2,7,3,6] => 443135 [1,4,5,2,7,6,3] => 441441 [1,4,5,3,2,6,7] => 444015 [1,4,5,3,2,7,6] => 443685 [1,4,5,3,6,2,7] => 440310 [1,4,5,3,6,7,2] => 437285 [1,4,5,3,7,2,6] => 439560 [1,4,5,3,7,6,2] => 436865 [1,4,5,6,2,3,7] => 438581 [1,4,5,6,2,7,3] => 436557 [1,4,5,6,3,2,7] => 437151 [1,4,5,6,3,7,2] => 434126 [1,4,5,6,7,2,3] => 432432 [1,4,5,6,7,3,2] => 431431 [1,4,5,7,2,3,6] => 437285 [1,4,5,7,2,6,3] => 435591 [1,4,5,7,3,2,6] => 435855 [1,4,5,7,3,6,2] => 433160 [1,4,5,7,6,2,3] => 431886 [1,4,5,7,6,3,2] => 430885 [1,4,6,2,3,5,7] => 443885 [1,4,6,2,3,7,5] => 443135 [1,4,6,2,5,3,7] => 442156 [1,4,6,2,5,7,3] => 440132 [1,4,6,2,7,3,5] => 440440 [1,4,6,2,7,5,3] => 439166 [1,4,6,3,2,5,7] => 441740 [1,4,6,3,2,7,5] => 440990 [1,4,6,3,5,2,7] => 438581 [1,4,6,3,5,7,2] => 435556 [1,4,6,3,7,2,5] => 436865 [1,4,6,3,7,5,2] => 434590 [1,4,6,5,2,3,7] => 437580 [1,4,6,5,2,7,3] => 435556 [1,4,6,5,3,2,7] => 436150 ----------------------------------------------------------------------------- Created: Nov 19, 2018 at 11:44 by Christian Stump ----------------------------------------------------------------------------- Last Updated: Nov 19, 2018 at 11:44 by Christian Stump