# Ciel and Flowers

Time Limit: 1 second

Memory Limit: 256 megabytes

## 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

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.

## Sample Input

Input3 6 9Output6Input4 4 4Output4Input0 0 0Output0

## Sample Output

None

## 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.

None