olymmath

OME 2018 Problem 2

    Let nn be a positive integer. 2n+12n+1 tokens are in a row, each being black or white. A token is said to be balanced if the number of white tokens on its left plus the number of black tokens on its right is nn . Determine whether the number of balanced tokens is even or odd.

    Dataset text AI-MO AoPS. Quoted with source.

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