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.
a,b,c = map(int,input().split())
ans1 = a//3 + b//3 + c//3
ans3 = ans1
a1 = a%3
b1 = b%3
c1 = c%3
# print(a,b,c)
if a1==2 and b1==2:
    if c>=3:
        ans1-=1
        ans1 += 2
elif b1==2 and c1==2:
    if a>=3:
        ans1-=1
        ans1 += 2
elif a1==2 and c1==2:
    if b>=3:
        ans1-=1
        ans1 += 2

ans1 = max(ans1,ans3+min(a1,b1,c1))

ans2 = -10**16

print(max(ans1,ans2))

