CF322B.Ciel and Flowers

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题目描述

Fox Ciel has some flowers: $r$ red flowers, $g$ green flowers and $b$ blue flowers. She wants to use these flowers to make several bouquets. There are 4 types of bouquets:

To make a "red bouquet", it needs 3 red flowers.
To make a "green bouquet", it needs 3 green flowers.
To make a "blue bouquet", it needs 3 blue flowers.
To make a "mixing bouquet", it needs 1 red, 1 green and 1 blue flower.

Help Fox Ciel to find the maximal number of bouquets she can make.

输入格式

The first line contains three integers $r$ , $g$ and $b$ ( $0<=r,g,b<=10^{9}$ ) — the number of red, green and blue flowers.

输出格式

Print the maximal number of bouquets Fox Ciel can make.

输入输出样例

输入#1
```
3 6 9
```
输出#1
```
6
```
输入#2
```
4 4 4
```
输出#2
```
4
```
输入#3
```
0 0 0
```
输出#3
```
0
```

说明/提示

In test case 1, we can make 1 red bouquet, 2 green bouquets and 3 blue bouquets.

In test case 2, we can make 1 red, 1 green, 1 blue and 1 mixing bouquet.

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