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 $ ----------  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.