olymmath

HMMT 2019 U12

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Bob is coloring lattice points in the coordinate plane. Find the number of ways Bob can color five points in {(x,y)∣1≤x,y≤5}\{(x, y) \mid 1 \leq x, y \leq 5\} blue such that the distance between any two blue points is not an integer.

Dataset text NuminaMath olympiads. Quoted with source.

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80

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