Arpa is researching the Mexican wave.

There are n spectators in the stadium, labeled from 1 to n. They start the Mexican wave at time 0.

At time 1, the first spectator stands. At time 2, the second spectator stands. ... At time k, the k-th spectator stands. At time k + 1, the (k + 1)-th spectator stands and the first spectator sits. At time k + 2, the (k + 2)-th spectator stands and the second spectator sits. ... At time n, the n-th spectator stands and the (n - k)-th spectator sits. At time n + 1, the (n + 1 - k)-th spectator sits. ... At time n + k, the n-th spectator sits.

Arpa wants to know how many spectators are standing at time t.

-----Input-----

The first line contains three integers n, k, t (1 ≤ n ≤ 10^9, 1 ≤ k ≤ n, 1 ≤ t < n + k).

-----Output-----

Print single integer: how many spectators are standing at time t.

-----Examples-----

Input 10 5 3

Output 3

Input 10 5 7

Output 5

Input 10 5 12

Output 3

-----Note-----

In the following a sitting spectator is represented as -, a standing spectator is represented as ^.

At t = 0  ---------- $\Rightarrow$ number of standing spectators = 0. At t = 1  ^--------- $\Rightarrow$ number of standing spectators = 1. At t = 2  ^^-------- $\Rightarrow$ number of standing spectators = 2. At t = 3  ^^^------- $\Rightarrow$ number of standing spectators = 3. At t = 4  ^^^^------ $\Rightarrow$ number of standing spectators = 4. At t = 5  ^^^^^----- $\Rightarrow$ number of standing spectators = 5. At t = 6  -^^^^^---- $\Rightarrow$ number of standing spectators = 5. At t = 7  --^^^^^--- $\Rightarrow$ number of standing spectators = 5. At t = 8  ---^^^^^-- $\Rightarrow$ number of standing spectators = 5. At t = 9  ----^^^^^- $\Rightarrow$ number of standing spectators = 5. At t = 10 -----^^^^^ $\Rightarrow$ number of standing spectators = 5. At t = 11 ------^^^^ $\Rightarrow$ number of standing spectators = 4. At t = 12 -------^^^ $\Rightarrow$ number of standing spectators = 3. At t = 13 --------^^ $\Rightarrow$ number of standing spectators = 2. At t = 14 ---------^ $\Rightarrow$ number of standing spectators = 1. At t = 15 ---------- $\Rightarrow$ number of standing spectators = 0.