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())
m=min(r,g,b)
ans=m
ans3=0
ans4=0
if(r>=1 and g>=1 and b>=1):
	ans3=1+(r-1)//3+(g-1)//3+(b-1)//3+min((r-1)%3,(g-1)%3,(b-1)%3)
if(r>=2 and g>=2 and b>=2):
	ans4=2+(r-2)//3+(g-2)//3+(b-2)//3+min((r-2)%3,(g-2)%3,(b-2)%3)
ans2=r//3+g//3+b//3+min(r%3,g%3,b%3)
r-=m
g-=m
b-=m
ans+=r//3
ans+=b//3
ans+=g//3
print(max(ans,ans2,ans3,ans4))