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.
l=list(map(int,input().split()))
r,g,b=l[0],l[1],l[2]
c=0
if(r==0 or g==0 or b==0):
  c=r//3+g//3+b//3
  print(c)
else:  
  c+=r//3 + g//3+b//3
  r%=3
  g%=3
  b%=3
  c+=min(r,g,b)
  if((r==0 and g==2 and b==2 ) or (r==2 and g==2 and    b==0 ) or (r==2 and g==0 and b==2 ) ):
      print(c+1)
  else:
    print(c)
