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 ≤ 10^9) — 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.