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Tug-o-war (Posted on 2003-06-21) Difficulty: 3 of 5
There is a tug-o-war competition consisting of rounds upon round that all end in a draw meaning both sides end in equal strength. There are several people of exactly equal strength and are represented by the same symbol. (i.e. all * pull the same, but a * and a @ must be different) Each team is representeed by a series of symbols followed by a dashed line being the rope. On the other side of the rope is the team that was equally matched in strength. Here are some of those rounds:
*%-----$
$$$-------@%*%@
@-------!*
Again remembering that ll of the above are ties, and assume that position on the rope doesn't matter, who will win the following match?
!@!!@!-------%$*$

See The Solution Submitted by Jon    
Rating: 3.4545 (11 votes)

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Solution Solution | Comment 17 of 19 |
For line 2, replace the $$$ with it's equivalent in line 1.
*%*%*% = @%*%@

and then using line 3 replace the @
*%*%*% = !*%*%!*

get rid of the *** from each side
%%% = !%%!

therefore
!! = %

Substitute for the line we for which we are attempting to determinine a winner:

For the left side, simply replace the @ using line 3
!!*!!!*!

For the right side, use a bit of everything we've discovered
!!*!!**!!

both of these have 5 !s, but one has 3*, the other 2*. Therefore, the right side, or %$*$ wins by *.
  Posted by Lawrence on 2003-08-24 13:03:58
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