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.
# your code goes here
s=raw_input()
s=s.split()
r=int(s[0])
g=int(s[1])
b=int(s[2])

ans = 0

ans = ans+r/3+g/3+b/3
a=3*[0]
r=r%3
g=g%3
b=b%3
a[r]+=1
a[g]+=1
a[b]+=1

if a[2]==2 and a[0]==1 and min(int(s[0]),int(s[1]),int(s[2]))!=0:
	ans+=1
else:
	min=min(r,g,b)
	ans=ans+min

print ans