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 = list(map(int,input().split()))

a.sort()
if a[0] == 0:
    print(a[1]//3+a[2]//3)
    exit()
b = a.copy()
c = a.copy()
ans = min(a)

a[1] -= ans
a[2] -= ans

ans += a[1]//3
ans += a[2]//3

ans1 = min(b)-1

b[1] -= ans1
b[2] -= ans1

ans1 += b[1]//3
ans1 += b[2]//3


ans2 = min(c)-2

c[1] -= ans2
c[2] -= ans2

ans2 += c[1]//3
ans2 += c[2]//3

print(max(ans2,ans1,ans))