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 $*t*$.

Note

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

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