olymmath

AIME 2008a Problem 7

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Let SiS_i be the set of all integers nn such that 100i≤n<100(i+1)100i\leq n < 100(i + 1). For example, S4S_4 is the set 400,401,402,…,499{400,401,402,\ldots,499}. How many of the sets S0,S1,S2,…,S999S_0, S_1, S_2, \ldots, S_{999} do not contain a perfect square?

Dataset text AIME 1983 to 2026. Quoted with source.

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