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MathNet 2015-part-04 — 191 problems (EN–VI) Question 104

Math Olympiad Vault · MathNet 2015-part-04 — 191 problems (EN–VI)

Question 104

Given two integers $h \ge 1$ and $p \ge 2$, determine the minimum number of pairs of opponents an *hp*-member parliament may have, if in every partition of the parliament into *h* houses of *p* member each some house contains at least one pair of opponents.