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.
r,g,b = map(int,input().split())
ans = 0 
if 0 in [r,g,b]:
	ans = r//3+g//3+b//3
else: 
	ans  = max(r//3+g//3+b//3+min(r%3,b%3,g%3),1+(r-1)//3+(g-1)//3+(b-1)//3+min((r-1)%3,(g-1)%3,(b-1)%3),2+(r-2)//3+(g-2)//3+(b-2)//3+min((r-2)%3,(g-2)%3,(b-2)%3))
print(ans)