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全蘇數學奧林匹克:變換

(2007-12-28 17:41:55) 下一個
A move replaces the real numbers a, b, c, d by a-b, b-c, c-d, d-a. If a, b, c, d are not all equal, show that at least one of the numbers can exceed 1985 after a finite number of moves.
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