MathDB
Austria-Poland 1997 Problem

Source:

March 23, 2011
invariantcombinatorics proposedcombinatorics

Problem Statement

Numbers 491,492,...,4997\frac{49}{1}, \frac{49}{2}, ... , \frac{49}{97} are writen on a blackboard. Each time, we can replace two numbers (like a,ba, b) with 2ab−a−b+12ab-a-b+1. After 9696 times doing that prenominate action, one number will be left on the board. Find all the possible values fot that number.
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