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.
import sys

num = map(int,raw_input().split(" "))

ans = -1

def Work():
	global ans
	for i in range(0,4):
		m = min(num)
		if m - i >0:
			m = m-i
		r = num[0]
		g = num[1]
		b = num[2]
		
		r = r -m;
		g = g -m;
		b = b- m;

		tmp = m
		tmp = tmp + r//3
		tmp = tmp + g//3
		tmp = tmp + b//3

		ans = max(ans,tmp)
		


if __name__=="__main__":
	Work()
	print ans
