superprismatic 11 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 post Share on other sites

0 k-man 26 Posted May 31, 2011 Report Share Posted May 31, 2011 20 moves 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 post Share on other sites

## Question

## superprismatic 11

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:

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