CF322B Ciel and Flowers

Description

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.

Input Format

The first line contains three integers $ r $ , $ g $ and $ b $ ( $ 0

Output Format

Print the maximal number of bouquets Fox Ciel can make.

Explanation/Hint

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.