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bending a square paper of side 2016, less than 10 times, build segment 1?

Source: 2016 Oral Moscow Geometry Olympiad grades 8-9 p6

July 30, 2019
paperSegmentgeometryfoldingsquare

Problem Statement

Given a square sheet of paper with a side of 20162016. Is it possible to bend its not more than ten times, construct a segment of length 11?