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sequence problem

Source: China south east mathematical Olympiad 2007 problem 4

July 12, 2013
pigeonhole principlesymmetrycombinatorics unsolvedcombinatorics

Problem Statement

A sequence of positive integers with nn terms satisfies ∑i=1nai=2007\sum_{i=1}^{n} a_i=2007. Find the least positive integer nn such that there exist some consecutive terms in the sequence with their sum equal to 3030.
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