respectively (2 <= S1 <= 20; 2 <= S2 <= 20; 2 <= S3 <= 40).

Bessie rolls and rolls and rolls trying to figure out which three-dice sum appears most often.

Given the number of sides on each of the three dice, determine which three-dice sum appears most frequently. If more than one sum can appear most frequently, report the smallest such sum.

POINTS: 70

输入格式

* Line 1: Three space-separated integers: S1, S2, and S3

输出格式

* Line 1: The smallest integer sum that appears most frequently when the dice are rolled in every possible combination.

题目大意

贝茜喜欢玩棋盘游戏和角色扮演游戏，所以她说服了约翰开车带她去小商店.在那里她买了三个骰子。这三个不同的骰子的面数分别为 $s_1,s_2,s_3$。

对于一个有 $S$ 个面的骰子每个面上的数字是 $1,2,3,\ldots,S$。每个面（上的数字）出现的概率均等。贝茜希望找出在所有“三个面上的数字的和”中，哪个和的值出现的概率最大。

现在给出每个骰子的面数，需要求出哪个所有“三个面上的数字的和”出现得最频繁。如果有很多个和出现的概率相同，那么只需要输出最小的那个。

数据范围： $2\le s_1\leq 20$，$2 \leq s_2\leq 20$，$2 \leq s_3\leq 40$。

3 2 3 

5 

提示

Here are all the possible outcomes.

1 1 1 -> 3  
1 2 1 -> 4  
2 1 1 -> 4  
2 2 1 -> 5  
3 1 1 -> 5  
3 2 1 -> 6 
1 1 2 -> 4  
1 2 2 -> 5  
2 1 2 -> 5  
2 2 2 -> 6  
3 1 2 -> 6  
3 2 2 -> 7 
1 1 3 -> 5  
1 2 3 -> 6  
2 1 3 -> 6  
2 2 3 -> 7  
3 1 3 -> 7  
3 2 3 -> 8

Both 5 and 6 appear most frequently (five times each), so 5 is the answer.