CF405D Toy Sum

Description

Little Chris is very keen on his toy blocks. His teacher, however, wants Chris to solve more problems, so he decided to play a trick on Chris. There are exactly $ s $ blocks in Chris's set, each block has a unique number from 1 to $ s $ . Chris's teacher picks a subset of blocks $ X $ and keeps it to himself. He will give them back only if Chris can pick such a non-empty subset $ Y $ from the remaining blocks, that the equality holds: ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF405D/b4d7393be6fc1b4dbcb611f61bd1833c6028209f.png) "Are you kidding me?", asks Chris.For example, consider a case where $ s=8 $ and Chris's teacher took the blocks with numbers 1, 4 and 5. One way for Chris to choose a set is to pick the blocks with numbers 3 and 6, see figure. Then the required sums would be equal: $ (1-1)+(4-1)+(5-1)=(8-3)+(8-6)=7 $ . ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF405D/06454f577b0ffc63bab3fabb48dbf59919f0ef01.png)However, now Chris has exactly $ s=10^{6} $ blocks. Given the set $ X $ of blocks his teacher chooses, help Chris to find the required set $ Y $ !

Input Format

The first line of input contains a single integer $ n $ ( $ 1

Output Format

In the first line of output print a single integer $ m $ ( $ 1