From BRYAN@wvnvm.wvnet.edu Wed Nov 23 17:02:19 1994 Return-Path: Received: from WVNVM.WVNET.EDU by life.ai.mit.edu (4.1/AI-4.10) for /com/archive/cube-lovers id AA07588; Wed, 23 Nov 94 17:02:19 EST Message-Id: <9411232202.AA07588@life.ai.mit.edu> Received: from WVNVM.WVNET.EDU by WVNVM.WVNET.EDU (IBM VM SMTP V2R2) with BSMTP id 8645; Wed, 23 Nov 94 17:02:27 EST Received: from WVNVM.WVNET.EDU (NJE origin BRYAN@WVNVM) by WVNVM.WVNET.EDU (LMail V1.2a/1.8a) with BSMTP id 4727; Wed, 23 Nov 1994 17:02:27 -0500 X-Acknowledge-To: Date: Wed, 23 Nov 1994 17:02:26 -0500 (EST) From: "Jerry Bryan" To: "Cube Lovers List" Subject: Q vs. Q+H Distance to Start -- All Positions This is the same chart as before except that it is in terms of all cube positions in rather than in terms of W-conjugacy classes. At the same time, I will take the opportunity to correct an error in the previous posting. Permitting Q+H moves rather than just Q moves can save up to 10 moves (e.g., 25 moves with Q and 15 moves with Q+H, 24 moves with Q and 14 moves with Q+H, and 22 moves with Q and 12 moves with Q+H). My thanks to Dan Hoey for spotting this error. Q+H Distance from Start 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 1 4 2 2 8 Q 3 8 16 4 2 24 32 D 5 12 64 64 i 6 2 48 160 128 s 7 16 160 384 256 t 8 2 80 480 896 512 a 9 20 320 1344 2048 1024 n 10 2 120 1120 3584 4590 2032 c 11 24 560 3552 9168 10128 4016 e 12 1 164 2232 10519 22736 21820 7788 13 20 880 7904 29732 54624 46332 14700 f 14 192 3904 25890 80606 128248 96324 25528 r 15 16 1184 15238 79970 210684 293572 187112 o 16 177 5900 54398 234536 536474 641412 m 17 12 1280 25164 181514 663960 1310584 18 150 7192 96478 564998 1791466 S 19 8 1072 31288 321242 1613572 t 20 58 5186 107919 902990 a 21 296 17192 269272 r 22 1 592 32122 t 23 782 24 8 25 Q+H Distance from Start 15 16 17 18 19 20 0 1 2 Q 3 4 D 5 i 6 s 7 t 8 a 9 n 10 c 11 e 12 13 f 14 r 15 39764 o 16 328532 49916 m 17 1286534 464878 34914 18 2960340 2069994 393142 8230 S 19 4333614 5277159 1974444 107256 166 t 20 3846819 7828346 5215618 562494 2252 a 21 1881664 6123940 6933978 1349768 10712 r 22 405221 2181984 4071140 1328952 19411 32 t 23 23010 232088 779418 462831 12969 12 24 92 2714 18612 23981 1936 8 25 2 8 56 19 2 = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Robert G. Bryan (Jerry Bryan) (304) 293-5192 Associate Director, WVNET (304) 293-5540 fax 837 Chestnut Ridge Road BRYAN@WVNVM Morgantown, WV 26505 BRYAN@WVNVM.WVNET.EDU If you don't have time to do it right today, what makes you think you are going to have time to do it over again tomorrow?