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pow:problem4f25
Problem 4 (due Monday, October 20 )
Let $A$ be the set of all positive integers which have 2025 digits in their decimal representation and all these digits are non-zero. For $a\in A$ let $t(a)=a-m(a)$, where $m(a)$ is the product of all the digits of $a$. Find $a$ for which $t(a)$ is largest possible.
We received a solution form Alif Miah,Takeru Sueyoshi (from Anglo-Chinese Junior College based in Singapore), and Mathew Wolak. The submitted solutions followed essentially the same idea as our in-house solution (some had some errors, some were lacking some details). For a detailed solution see the following link Solution.
pow/problem4f25.txt · Last modified: 2025/10/27 01:26 by mazur