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())

sum1=r//3+g//3+b//3+min(r%3,g%3,b%3)

sum2=min(r,g,b)

a=min(r,g,b)
p=r-a
q=g-a
s=b-a

sum2=sum2+p//3+q//3+s//3

sum3=0

if r%3+g%3+b%3==4 and min(r%3,b%3,g%3)==0 and max(r%3,b%3,g%3)==2 and min(r,g,b)!=0:
    sum1=sum1+1
    

print (max(sum1,sum2))