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A9266 | Mafia

时间限制1s
内存限制256MB
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题目描述

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 $a_{i}$ 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?

输入格式

The first line contains integer $n$ $(3<=n<=10^{5})$ . The second line contains $n$ space-separated integers $a_{1},a_{2},...,a_{n}$ $(1<=a_{i}<=10^{9})$ — the $i$ -th number in the list is the number of rounds the $i$ -th person wants to play.

输出格式

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 $a_{i}$ rounds.

Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier.

输入输出样例

输入 #1
3
3 2 2
输出 #1
4
输入 #2
4
2 2 2 2
输出 #2
3
C++ 编辑器
输入
输出