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Tuesday, September 14, 2010
15th Canadian Mathematical Olympiad Problems 1983
15th Canadian Mathematical Olympiad Problems 19831. Find all solutions to n! = a! + b! + c! . 2. Find all real-valued functions f on the reals whose graphs remain unchanged under all transformations (x, y) → (2kx, 2k(kx + y) ), where k is real.