1997 AIME Problems/Problem 12
Problem
Let be the set of points in the Cartesian plane that satisfy
![$\Big|\big||x|-2\big|-1\Big|+\Big|\big||y|-2\big|-1\Big|=1.$](http://latex.artofproblemsolving.com/8/6/1/861bc503fcf3e136f3357993d4d30ded9c04a837.png)
If a model of were built from wire of negligible thickness, then the total length of wire required would be
, where
and
are positive integers and
is not divisible by the square of any prime number. Find
.
Solution
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See also
1997 AIME (Problems • Answer Key • Resources) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
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All AIME Problems and Solutions |