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China mathematical olympiad 1995 problem3

Source: China mathematical olympiad 1995 problem3

September 15, 2013
inequalitiesinequalities unsolvedSums and Products

Problem Statement

Find the minimun value of ∑i=110∑j=110∑k=110∣k(x+y−10i)(3x−6y−36j)(19x+95y−95k)∣\sum_{i=1}^{10} \sum_{j=1}^{10} \sum_{k=1}^{10}|k(x+y-10i)(3x-6y-36j)(19x+95y-95k)| , where x,yx,y are integers.
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