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Not constant

Author: mathforces
Problem has been solved: 22 times

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Some integers $ x $, $ y $, $ z $ and $ t $ satisfy the equality $x^2+2y^2+z^2+2t^2 = 2(xy+yz-zt+tx)$. Find the largest possible value for $ \frac{x-y}{y-z} $ if it is known that $x \ge y \ge z \ge t$.





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