Problem Statement

You are given integers $X, L, R$. Among the integers between $L$ and $R$, inclusive, output the one whose absolute difference with $X$ is the smallest. It can be proved that there is exactly $1$ such integer.

Constraints

• $1 \le X \le 100\,000$.
• $1 \le L \le R \le 100\,000$.

Input

The input is given from Standard Input in the following format:

X L R

Output

Among the integers between $L$ and $R$, inclusive, output the one whose absolute difference with $X$ is the smallest.

Sample 1

Input

8 3 6

Output

6

Among $3, 4, 5, 6$, the one with the smallest absolute difference with $8$ is $6$. Therefore, output $6$.

Sample 2

Input

7 3 10

Output

7

Among $3, 4, 5, 6, 7, 8, 9, 10$, the one with the smallest absolute difference with $7$ is $7$. Therefore, output $7$.

Sample 3

Input

8 10 10

Output

10