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2025 SSMO Relay Round 1 Problems/Problem 1

Revision as of 11:42, 9 September 2025 by Pinkpig (talk | contribs) (Created page with "==Problem== Let <math>x_1, x_2, \ldots, x_7</math> be distinct integers such that the mean of <math>\{x_i,x_{i+1},x_{i+2}\}</math> is an integer for all integers <math>1\le i...")
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Problem

Let $x_1, x_2, \ldots, x_7$ be distinct integers such that the mean of $\{x_i,x_{i+1},x_{i+2}\}$ is an integer for all integers $1\le i\le 5$. Find the minimum possible positive value of $x_7 - x_1$.

Solution

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