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())
ans0 = r//3 + g//3 + b//3
if r>=1 and g>=1 and b>=1:
    ans1 = 1 + max(0,(r-1)//3) + max(0,(g-1)//3) + max(0,(b-1)//3)
else:
    ans1 = 0
if r>=2 and g>=2 and b>=2:
    ans2 = 2 + max(0,(r-2)//3) + max(0,(g-2)//3) + max(0,(b-2)//3)
else:
    ans2 = 0
print(max(ans0,ans1,ans2))
