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MathNet 2007-part-02 — 187 problems (EN–VI) Question 179

Math Olympiad Vault · MathNet 2007-part-02 — 187 problems (EN–VI)

Question 179

For an integer $x$ it holds that
$$
|\ldots||| x-1|-10|-10^{2}\left|\ldots-10^{2006}\right|=10^{2007}
$$
Find the hundredth digit of the number $|x|$.