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MathNet 2009-part-03 — 175 problems (EN–VI) Question 161

Math Olympiad Vault · MathNet 2009-part-03 — 175 problems (EN–VI)

Question 161

11 positive integers are arranged on a circle. It appears that the difference between each two neighboring numbers is not less than 20, while the sum of each two neighboring numbers is not less than 100. Find the least possible value of the sum of all 11 integers.