Arpa and a research in Mexican wave

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 ≤ 109, 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 ---------- 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.

inputFormat

Input

The first line contains three integers n, k, t (1 ≤ n ≤ 109, 1 ≤ k ≤ n, 1 ≤ t < n + k).

outputFormat

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 ---------- 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.

样例

10 5 3

3

</p>