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11.8

Part of 2009 All-Russian Olympiad Regional Round

Problems(1)

11 integers on a circle

Source: Problem 8 of Russian Regional Olympiad 2009, Grade 11

9/18/2011
11 integers are placed along the circle. It is known that any two neighbors differ by at least 20 and sum of any two neighbors is no more than 100. Find the minimal possible sum of all numbers.
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