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MathNet 2019-part-04 — 184 problems (EN–VI) Question 174

Math Olympiad Vault · MathNet 2019-part-04 — 184 problems (EN–VI)

Question 174

For a positive integer $x$, let $f(x)$ be the last two digits of $x$. Find
$$
\sum_{n=1}^{2019} f\left(7^{7^{n}}\right).
$$