Find the Damaged Toy

N children numbered 1..N sit in a circle. The first toy goes to child D, and the remaining toys are handed out one at a time in increasing order of number, wrapping around to 1. Find who receives the T-th (last) toy.

输入格式

A single line containing N T D. This site adds 1≤N,T≤10^9 and 1≤D≤N.

输出格式

Output the 1-based number of the child who receives the last toy.

样例 1

输入：

5 2 1

输出：

2

样例 2

输入：

5 1 4

输出：

4

样例 3

输入：

3 7 2

输出：

2