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Problem 6

Part of 2003 Spain Mathematical Olympiad

Problems(1)

2003 National Spain Olympiad, Problem 6

Source: 2003 National Spain Olympiad

6/2/2017
We string 2n2n white balls and 2n2n black balls, forming a continuous chain. Demonstrate that, in whatever order the balls are placed, it is always possible to cut a segment of the chain to contain exactly nn white balls and nn black balls.
number theory