Description:
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 Format:
The first line contains three integers n, k, t (1 ≤ n ≤ 109, 1 ≤ k ≤ n, 1 ≤ t < n + k).
Output Format:
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 ---------- $$\text{The image appears to be blurred, but it seems to contain a mathematical expression or a symbol that is not clearly discernible due to the blurriness. If there was intended text or a specific formula, it would need to be re-rendered with clearer imagery.}$$ number of standing spectators = 0.
- At t = 1 ^--------- $$\text{The image appears to be blurred, but it seems to contain a mathematical expression or a symbol that is not clearly discernible due to the blurriness. If there was intended text or a specific formula, it would need to be re-rendered with clearer imagery.}$$ number of standing spectators = 1.
- At t = 2 ^^-------- $$\text{The image appears to be blurred, but it seems to contain a mathematical expression or a symbol that is not clearly discernible due to the blurriness. If there was intended text or a specific formula, it would need to be re-rendered with clearer imagery.}$$ number of standing spectators = 2.
- At t = 3 ^^^------- $$\text{The image appears to be blurred, but it seems to contain a mathematical expression or a symbol that is not clearly discernible due to the blurriness. If there was intended text or a specific formula, it would need to be re-rendered with clearer imagery.}$$ number of standing spectators = 3.
- At t = 4 ^^^^------ $$\text{The image appears to be blurred, but it seems to contain a mathematical expression or a symbol that is not clearly discernible due to the blurriness. If there was intended text or a specific formula, it would need to be re-rendered with clearer imagery.}$$ number of standing spectators = 4.
- At t = 5 ^^^^^----- $$\text{The image appears to be blurred, but it seems to contain a mathematical expression or a symbol that is not clearly discernible due to the blurriness. If there was intended text or a specific formula, it would need to be re-rendered with clearer imagery.}$$ number of standing spectators = 5.
- At t = 6 -^^^^^---- $$\text{The image appears to be blurred, but it seems to contain a mathematical expression or a symbol that is not clearly discernible due to the blurriness. If there was intended text or a specific formula, it would need to be re-rendered with clearer imagery.}$$ number of standing spectators = 5.
- At t = 7 --^^^^^--- $$\text{The image appears to be blurred, but it seems to contain a mathematical expression or a symbol that is not clearly discernible due to the blurriness. If there was intended text or a specific formula, it would need to be re-rendered with clearer imagery.}$$ number of standing spectators = 5.
- At t = 8 ---^^^^^-- $$\text{The image appears to be blurred, but it seems to contain a mathematical expression or a symbol that is not clearly discernible due to the blurriness. If there was intended text or a specific formula, it would need to be re-rendered with clearer imagery.}$$ number of standing spectators = 5.
- At t = 9 ----^^^^^- $$\text{The image appears to be blurred, but it seems to contain a mathematical expression or a symbol that is not clearly discernible due to the blurriness. If there was intended text or a specific formula, it would need to be re-rendered with clearer imagery.}$$ number of standing spectators = 5.
- At t = 10 -----^^^^^ $$\text{The image appears to be blurred, but it seems to contain a mathematical expression or a symbol that is not clearly discernible due to the blurriness. If there was intended text or a specific formula, it would need to be re-rendered with clearer imagery.}$$ number of standing spectators = 5.
- At t = 11 ------^^^^ $$\text{The image appears to be blurred, but it seems to contain a mathematical expression or a symbol that is not clearly discernible due to the blurriness. If there was intended text or a specific formula, it would need to be re-rendered with clearer imagery.}$$ number of standing spectators = 4.
- At t = 12 -------^^^ $$\text{The image appears to be blurred, but it seems to contain a mathematical expression or a symbol that is not clearly discernible due to the blurriness. If there was intended text or a specific formula, it would need to be re-rendered with clearer imagery.}$$ number of standing spectators = 3.
- At t = 13 --------^^ $$\text{The image appears to be blurred, but it seems to contain a mathematical expression or a symbol that is not clearly discernible due to the blurriness. If there was intended text or a specific formula, it would need to be re-rendered with clearer imagery.}$$ number of standing spectators = 2.
- At t = 14 ---------^ $$\text{The image appears to be blurred, but it seems to contain a mathematical expression or a symbol that is not clearly discernible due to the blurriness. If there was intended text or a specific formula, it would need to be re-rendered with clearer imagery.}$$ number of standing spectators = 1.
- At t = 15 ---------- $$\text{The image appears to be blurred, but it seems to contain a mathematical expression or a symbol that is not clearly discernible due to the blurriness. If there was intended text or a specific formula, it would need to be re-rendered with clearer imagery.}$$ number of standing spectators = 0.