Ciel and Flowers
题目描述
B. Ciel and Flowers
time limit per test
1 secondmemory limit per test
256 megabytesinput
standard inputoutput
standard outputFox 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.
Input
The first line contains three integers r, g and b (0≤r,g,b≤109) − the number of red, green and blue flowers.
Output
Print the maximal number of bouquets Fox Ciel can make.
Examples
Input
3 6 9
Output
6
Input
4 4 4
Output
4
Input
0 0 0
Output
0
Note
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.
题目来源：fps-www.educg.net-codeforce-1-2833.xml.zip；FPS 共享题包，题包内第 2016 题。保留原作者与原赛事署名。