Posted by **Al** on Monday, June 24, 2013 at 10:43am.

There are 100 runners, each given a distinct bib labeled 1 to 100. What is the most number of runners that we could arrange in a circle, such that the product of the numbers on the bibs of any 2 neighboring runners, is less than 1000?

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**Nick**, Monday, June 24, 2013 at 11:45am
61

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