659A - Round House ( A - Round House)

659A - Round House

 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.

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.

Input

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.

Output

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

Examples

input

Copy

6 2 -5

output

Copy

3

input

Copy

5 1 3

output

Copy

4

input

Copy

3 2 7

output

Copy

3

Note

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

1. 
   #include<bits/stdc++.h>
2. using namespace std;
3. int main(){
4. long n,a,b,ev=0,ans=0;
5. cin>>n>>a>>b; int x=abs(b);
6. if(b>0){
7. while(b--){a=a+1;
8. if(a>n) a=1;
9.  
10. }
11. cout<<a;
12. }
13. else { while(x--){
14. a=a-1;
15. if(a==0) a=n;
16. ans++;
17. }
18. cout<<a;
19. }
20. return 0;
21. }