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I got 99 problems and this is one.

Source: 2017 AIME I #9

March 8, 2017
AIMEAIME I2017 AIME Inumber theoryIntermediate Number Theory

Problem Statement

Let a10=10a_{10} = 10, and for each integer n>10n >10 let an=100an−1+na_n = 100a_{n - 1} + n. Find the least n>10n > 10 such that ana_n is a multiple of 9999.
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