#D8443. Ciel and Flowers
Ciel and Flowers
Ciel and Flowers
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.
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.
inputFormat
Input
The first line contains three integers r, g and b (0 ≤ r, g, b ≤ 109) — the number of red, green and blue flowers.
outputFormat
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.
样例
3 6 9
6