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(332) 4

Part of 1992 Tournament Of Towns

Problems(1)

TOT 332 1992 Spring O S4 10 numbers on a circle

Source:

6/9/2024
1010 numbers are placed on a circle. Their sum is equal to 100100. A sum of any three neighbouring numbers is no less than 2929. Find the minimal number AA such that for any such set of 10 numbers none of them is greater than AA. Prove that this value for AA is really minimal.
(A. Tolpygo, Kiev)
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