Round House

题意翻译

废龙小朋友居住在一间圆形的房屋里。这所房屋的所有门都被用数字1~n标号了。门口n与门口1是连起来的。 现在给你3个数n,a,b,废龙的房子有n个门口,他打算从门口a开始走过b个门口,问你最后废龙会站在哪个门口前面。 若b为负数,就是指废龙要倒♂车,即,他要倒着走。 样例1的解释: ![](https://cdn.luogu.org/upload/pic/47140.png) 一共有6个门口,从2号门口开始,走-5个门口,最后停在了3号门口。

题目描述

Vasya lives in a round building, whose entrances are numbered sequentially by integers from $ 1 $ to $ n $ . Entrance $ n $ and entrance $ 1 $ are adjacent. Today Vasya got bored and decided to take a walk in the yard. Vasya lives in entrance $ a $ and he decided that during his walk he will move around the house $ b $ entrances in the direction of increasing numbers (in this order entrance $ n $ should be followed by entrance $ 1 $ ). The negative value of $ b $ corresponds to moving $ |b| $ entrances in the order of decreasing numbers (in this order entrance $ 1 $ is followed by entrance $ n $ ). If $ b=0 $ , then Vasya prefers to walk beside his entrance. ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF659A/8f09e360c1ff5dc88f6cd354c32b2183ba63a907.png)Illustration for $ n=6 $ , $ a=2 $ , $ b=-5 $ .Help Vasya to determine the number of the entrance, near which he will be at the end of his walk.

输入输出格式

输入格式


The single line of the input contains three space-separated integers $ n $ , $ a $ and $ b $ ( $ 1<=n<=100,1<=a<=n,-100<=b<=100 $ ) — the number of entrances at Vasya's place, the number of his entrance and the length of his walk, respectively.

输出格式


Print a single integer $ k $ ( $ 1<=k<=n $ ) — the number of the entrance where Vasya will be at the end of his walk.

输入输出样例

输入样例 #1

6 2 -5

输出样例 #1

3

输入样例 #2

5 1 3

输出样例 #2

4

输入样例 #3

3 2 7

输出样例 #3

3

说明

The first example is illustrated by the picture in the statements.