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.
import math
#q=int(input())
q=1
for _ in range(q):
    l=list(map(int,input().split()))
    l.sort()
    a=l[0]
    b=l[1]
    c=l[2]
    ans2=0
    ans3=0
    ans1=a//3+b//3+c//3 
    if a>0 and b>0 and c>0:
        ans2=1 
        a1=max(0,a-1) 
        b1=max(0,b-1)
        c1=max(0,c-1) 
        ans2+=a1//3+b1//3+c1//3
        ans3=2 
        a2= max(0,a-2) 
        b2=max(0,b-2) 
        c2=max(c-2,0) 
        ans3+=a2//3+b2//3+c2//3
    print(max(max(ans1,ans2),ans3))