Ciel and Flowers

1000ms

262144K

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:

3 6 9

Sample Output:

Sample Input:

4 4 4

Sample Output:

Sample Input:

0 0 0

Sample Output:

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.

Informação

Provedor Codeforces

Código CF322B