Date: Wed, 23 Nov 94 17:02:26 -0500
From: Jerry Bryan <BRYAN@wvnvm.wvnet.edu
>
Subject: <U,R> 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 <U,R> 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?