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Guess
what? It’s time again for another Bikwil mind bender. Though no
cinch, this one ought to be simpler than our notorious “Twelve Billiard
Balls Puzzle” (Issue 4, November 1997).
The
“Five Coin Puzzle” concerns coins lying in a straight row,
all touching — three 20-cent coins and two 10-cent coins.
When
you start, they are positioned so that the coin types alternate, with a
20-cent coin on the left. Your goal is, in as few moves as possible, to
arrange them (again in a straight line), so that the 20-cent coins end
up together on the left, then the 10-cent coins, all touching.
Thus,
starting with this:
20 10
20 10 20
you
have to get to this:
20 20
20 10 10.
Here
are the rules for moving the coins:
coins
must be slid, not picked up;
two
adjacent coins (always of different types) must be moved
 each time;
at
least one of the pair moved must touch a third coin after
   the move;
the
coins moved must not change their left-to-right
      orientation (in other
words, 20 10 must not be twisted to 10
 20).
Solution
next March.
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