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Number Difference and Erasure Puzzle (Posted on 2015-09-14) |
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The numbers 1, 3, 32, 33,...,310 are written on a blackboard.
We are allowed to erase any two numbers and write their difference instead (this is always a nonnegative integer.)
After this procedure has been repeated ten times, only a single number will remain.
What values could this number have?
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