1994 USAMO Problems/Problem 2: Difference between revisions
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{{USAMO box|year=1994|num-b=1|num-a=3}} | |||
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[[Category:Olympiad Combinatorics Problems]] | |||
Revision as of 07:01, 19 July 2016
Problem
The sides of a 
-gon are initially colored so that consecutive sides are red, blue, red, blue,..., red, blue, yellow. We make a sequence of modifications in the coloring, changing the color of one side at a time to one of the three given colors (red, blue, yellow), under the constraint that no two adjacent sides may be the same color. By making a sequence of such modifications, is it possible to arrive at the coloring in which consecutive sides
are red, blue, red, blue, red, blue,..., red, yellow, blue?
Solution
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See Also
| 1994 USAMO (Problems • Resources) | ||
| Preceded by Problem 1 |
Followed by Problem 3 | |
| 1 • 2 • 3 • 4 • 5 | ||
| All USAMO Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. Error creating thumbnail: Unable to save thumbnail to destination
