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.
string = input()
m = string.index(' ')
n = string[(m+1):].index(' ') + m+1

r = int(string[:m])
g = int(string[m:n])
b = int(string[n:])

if (r==0 and g%3==2 and b%3==2) or (b==0 and g%3==2 and r%3==2) or (g==0 and r%3==2 and b%3==2):
    print(r//3+g//3+b//3)
elif r%3 == g%3 or r%3 == b%3 or b%3 == g%3:
    print((r+b+g)//3)
else:
    print((r+b+g)//3-1)

