A10280. 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.

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.

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

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