AtCoder Beginner Contest 357-D
Problem
For a positive integer \(N\), let \(V_N\) be the integer formed by concatenating \(N\) exactly \(N\) times.
More precisely, consider \(N\) as a string, concatenate \(N\) copies of it, and treat the result as an integer to get \(V_N\).
For example, \(V_3=333\) and \(V_{10}=10101010101010101010\) .
Find the remainder when \(V_N\) is divided by \(998244353\).