CF2081G1 Hard Formula

Description

This is the easy version of the problem. The difference between the versions is that in this version, the limits on $ n $ and the time limit are smaller. You can hack only if you solved all versions of this problem. You are given an integer $ n $ , and you need to compute $ (\sum_{k=1}^n k\bmod\varphi(k))\bmod 2^{32} $ , where $ \varphi(k) $ equals the number of positive integers no greater than $ k $ that are coprime with $ k $ .

Input Format

The only line contains a single integer $ n $ ( $ 1 \le n \le 10^{10}) $ .

Output Format

Print a single integer, representing $ (\sum_{k=1}^n k\bmod\varphi(k))\bmod 2^{32} $ .