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From the Wikipedia page about Vieta jumping:

Emanouil Atanassov, Bulgaria, solved the problem [assumed to be the most difficult one on the 1988 International Mathematics Olympiad] in a paragraph and received a special prize.

The reference links to this page. It does not mention anything about that paragraph. Does anyone have a copy of the actual paragraph written by him to solve the problem?

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There's a video by Numberphile starring Zvezdelina Stankova (the other Bulgarian on the Olympiad that year) called "The Notorious Question Six". She basically shows his solution (using induction and quadratic polynomial/Vieta's formulas). It's really quite elegant.

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I just want to point out that Don Zagier's one-paragraph solution to this notorious problem is more or less well-known:

http://www-groups.mcs.st-andrews.ac.uk/~john/Zagier/Solution1.3.html

Maybe E. Atanassov's solution was similar to the above solution by Professor Zagier.

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