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=input().split(" ")
r,g,b=int(r),int(g),int(b)
if r<1000 and g<1000 and b<1000 and r>=2 and g>=2 and b>=2 and (r%3==2 or g%3==2 or b%3==2):
    print(2+int((r-2)/3)+int((g-2)/3)+int((b-2)/3))
else:
    minm=min(r,min(g,b))
    ans1=minm+int((r-minm)/3)+int((g-minm)/3)+int((b-minm)/3)
    ans2=int(r/3)+int(g/3)+int(b/3)
    print(max(ans1,ans2))