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Friday, October 15, 2010
38th Eötvös Competition Problems 1934
1. E is the product 2·4·6 ... 2n, and D is the product 1·3·5 ... (2n-1). Show that, for some m, D·2m is a multiple of E. 2. Given a circle, find the inscribed polygon with the largest sum of the squares of its sides.
