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.
T=3
total = 0
i = 0
r,g,b=map(int,input().split())


if (r%T==2 and g%T==2) or (r%T==2 and b%T==2) or (g%T==2 and b%T==2):
    while r > 0 and g > 0 and b > 0 and i < 2:
        total+=1;r-=1;g-=1;b-=1
        i+=1
    total+=(r//3);r-=(r//3)
    total+=(g//3);r-=(g//3)
    total+=(b//3);b-=(b//3)

else:
    total+=(r//3);r-=(r//3)*3
    total+=(g//3);g-=(g//3)*3
    total+=(b//3);b-=(b//3)*3
    while r > 0 and g > 0 and b > 0:
        total+=1;r-=1;g-=1;b-=1
print(total)
