One day n friends gathered together to play "Mafia". During each round of the game some player must be the supervisor and other n-1 people take part in the game. For each person we know in how many rounds he wants to be a player, not the supervisor: the i-th person wants to play ai rounds. What is the minimum number of rounds of the "Mafia" game they need to play to let each person play at least as many rounds as they want?
Output
In a single line print a single integer − the minimum number of game rounds the friends need to let the
i-th person play at least
ai rounds.
Please, do not use the
%lld specifier to read or write 64-bit integers in C++. It is preferred to use the
cin,
cout streams or the
%I64d specifier.
Note
You don't need to know the rules of "Mafia" to solve this problem. If you're curious, it's a game Russia got from the Soviet times:
http://en.wikipedia.org/wiki/Mafia_(party_game).