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IMO 1977 — Shortlisted problems Question 15

IMO Shortlist · IMO 1977 — Shortlisted problems

Question 15

(VIE 1) IMO2. The length of a finite sequence is defined as the number of terms of this sequence. Determine the maximal possible length of a finite sequence that satisfies the following condition: The sum of each seven successive terms is negative, and the sum of each eleven successive terms is positive.