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Solutions to the Year 2000 International Mathematical Olympiad

机译：2000年国际数学奥林匹克竞赛的解决方案

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This article is meant to complement the author's earlier paper on Mekh-matentrance examinations. In that paper the author stated that the Mekh-mat problems appeared to be at the level of Olympiad problems which were an appropriate standard for comparison. In order to verify this claim, the author decided to solve under similar conditions (without use of outside references or help) all the problems for a given Olympiad year. Doing all problems in a given year appears to be the fairest test of problem solving, as one cannot simply choose the problems one is best at. Finally, since many people work on Olympiad problems, one can compare one's solution with the best that has been found (this was not always possible with Mehk-mat problems). The author's conclusion is that the IMO problems are generally much more challenging than the Mekh-mat problems. In particular, it took the author about 6 weeks to complete all the Olympiad problems and 6 weeks for all the Mekh-mat problems. However, there were 6 Olympiad problems versus 25 mekh-mat problems.

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