CF851A Arpa and a research in Mexican wave

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

Output Format

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

Explanation/Hint

In the following a sitting spectator is represented as -, a standing spectator is represented as ^. - At $ t=0  $ ---------- ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF851A/36de14eb23d8ee46ce065565960590d715b12072.png) number of standing spectators = 0. - At $ t=1  $ ^--------- ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF851A/36de14eb23d8ee46ce065565960590d715b12072.png) number of standing spectators = 1. - At $ t=2  $ ^^-------- ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF851A/36de14eb23d8ee46ce065565960590d715b12072.png) number of standing spectators = 2. - At $ t=3  $ ^^^------- ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF851A/36de14eb23d8ee46ce065565960590d715b12072.png) number of standing spectators = 3. - At $ t=4  $ ^^^^------ ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF851A/36de14eb23d8ee46ce065565960590d715b12072.png) number of standing spectators = 4. - At $ t=5  $ ^^^^^----- ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF851A/36de14eb23d8ee46ce065565960590d715b12072.png) number of standing spectators = 5. - At $ t=6  $ -^^^^^---- ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF851A/36de14eb23d8ee46ce065565960590d715b12072.png) number of standing spectators = 5. - At $ t=7  $ --^^^^^--- ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF851A/36de14eb23d8ee46ce065565960590d715b12072.png) number of standing spectators = 5. - At $ t=8  $ ---^^^^^-- ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF851A/36de14eb23d8ee46ce065565960590d715b12072.png) number of standing spectators = 5. - At $ t=9  $ ----^^^^^- ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF851A/36de14eb23d8ee46ce065565960590d715b12072.png) number of standing spectators = 5. - At $ t=10 $ -----^^^^^ ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF851A/36de14eb23d8ee46ce065565960590d715b12072.png) number of standing spectators = 5. - At $ t=11 $ ------^^^^ ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF851A/36de14eb23d8ee46ce065565960590d715b12072.png) number of standing spectators = 4. - At $ t=12 $ -------^^^ ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF851A/36de14eb23d8ee46ce065565960590d715b12072.png) number of standing spectators = 3. - At $ t=13 $ --------^^ ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF851A/36de14eb23d8ee46ce065565960590d715b12072.png) number of standing spectators = 2. - At $ t=14 $ ---------^ ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF851A/36de14eb23d8ee46ce065565960590d715b12072.png) number of standing spectators = 1. - At $ t=15 $ ---------- ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF851A/36de14eb23d8ee46ce065565960590d715b12072.png) number of standing spectators = 0.