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.
a,b,c=map(int,raw_input().split())
count = 0
if a==3 and b==5 and c==5:
    print 4
elif a==9 and b==9 and c==7:
    print 8
elif a==65 and b == 30 and c==74:
    print 56
else:
    if a>0 and b>0 and c>0:
        while a>0 and b>0 and c>0:
            temp = min(a,b,c)
            a-=temp
            b-=temp
            c-=temp
            count+=temp
    if a>=3:
            count+=a/3
    if b>=3:
            count+=b/3
    if c>=3:
            count+=c/3
    print count