olymmath

HMMT 2005 U38

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In how many ways can the set of ordered pairs of integers be colored red and blue such that for all aa and bb, the points (a,b),(−1−b,a+1)(a, b),(-1-b, a+1), and (1−b,a−1)(1-b, a-1) are all the same color?

Dataset text NuminaMath olympiads. Quoted with source.

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