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 = input().split()

a,b,c = int(t[0]),int(t[1]),int(t[2])

m=min(a,b,c)

  

x1=a//3+b//3+c//3+min(a%3,b%3,c%3)
x2=(a-1)//3+(b-1)//3+(c-1)//3+min((a-1)%3,(b-1)%3,(c-1)%3)+1
x3=(a-2)//3+(b-2)//3+(c-2)//3+min((a-2)%3,(b-2)%3,(c-2)%3)+2



if a==0:
  print(x1)
elif b==0:
  print(x1)
elif c==0:
  print(x1)
else:
  print(max(x1,x2,x3))