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A. Arpa and a research in Mexican wave
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

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.