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Forum## Problem of the Week 949## Jumping Cards
Start with eight cards in a row, numbered 1 2 3 4 5 6 7 8. Transform the sequence into 8 7 6 5 4 3 2 1 using moves of the following form: you may take any two cards and exchange them provided that, after the exchange, two neighboring cards are within 1, 2, or 3 of each other. Thus at the start switching 1 and 3 is legal, but you could not exchange 1 and 4, because then 1 and 5 would be neighbors. © Copyright 2002 Stan Wagon. Reproduced with permission. |

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23 January 2002