superprismatic Posted May 31, 2011 Report Share Posted May 31, 2011 Make 0246891357 from 0123456789 using only two permutations P1 and P2 where P1 is a left circular shift and P2 is flipping the elements in the first two pairs. Specifically, P1 will transform ABCDEFGHIJ into BCDEFGHIJA, and P2 will transform ABCDEFGHIJ into BADCEFGHIJ. Use the fewest possible number of moves where a move consists of an application of either P1 or P2. Here's an example which shows a way to make 0817923456 from 0123456789: 0123456789 Starting position 7890123456 P1 applied 7 times 8709123456 P2 7091234568 P1 0719234568 P2 8071923456 P1 applied 9 times 0817923456 P2 [/code]for a total of 20 moves. Quote Link to comment Share on other sites More sharing options...
0 k-man Posted May 31, 2011 Report Share Posted May 31, 2011 Reveal hidden contents 20 moves Reveal hidden contents P2 1032456789 P1 0324567891 P2 3042567891 P1 0425678913 P1 4256789130 P1 2567891304 P1 5678913042 P2 6587913042 P1 5879130426 P2 8597130426 P1 5971304268 P2 9517304268 P1 5173042689 P2 1537042689 P1 5370426891 P2 3507426891 P1 5074268913 P1 0742689135 P2 7024689135 P1 0246891357 Quote Link to comment Share on other sites More sharing options...
Question
superprismatic
Make 0246891357 from 0123456789 using
only two permutations P1 and P2 where
P1 is a left circular shift and P2 is
flipping the elements in the first two
pairs. Specifically, P1 will transform
ABCDEFGHIJ into BCDEFGHIJA, and P2 will
transform ABCDEFGHIJ into BADCEFGHIJ.
Use the fewest possible number of moves
where a move consists of an application
of either P1 or P2.
Here's an example which shows a way to
make 0817923456 from 0123456789:
Link to comment
Share on other sites
1 answer to this question
Recommended Posts
Join the conversation
You can post now and register later. If you have an account, sign in now to post with your account.