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Pandigital Olympic Circles Puzzle

The pandigital numbers 1 to 9 are arranged in five olympic rings as shown. If you add up the numbers in a circle, you get the same sum for each of the circles.

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"Pandigital Olympic Circles Puzzle" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/PandigitalOlympicCirclesPuzzle/
Contributed by: Frederick Wu
Additional work by: Sidong Zeng
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