Difference between revisions of "2022 SSMO Tiebreaker Round Problems/Problem 1"

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Latest revision as of 19:42, 15 December 2023

Problem

For all positive integers $n,$ let $S(n)$ denote the least positive integer $x$ such that $n+x$ is a palindrome. Find the value of $\displaystyle{\sum_{n=1}^{100}S(n)}.$

Solution