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The greatest A for which there exist 10 consecutive numbers

Source: IMO LongList 1970 - P38

May 21, 2011
combinatorics proposedcombinatorics

Problem Statement

Find the greatest integer AA for which in any permutation of the numbers 1,2,…,1001, 2, \ldots , 100 there exist ten consecutive numbers whose sum is at least AA.
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