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.
'''
Created on Jan 27, 2015

@author: mohamed265
'''
temp = input().split()
r = int(temp[0])
g = int(temp[1])
b = int(temp[2])
rr = r // 3
bb = b // 3
gg = g // 3
slon1 = min(r % 3, g % 3, b % 3) + rr + bb + gg
rrr = (3 if r >= 3 else 0)
slon2 = (rr - 1) + bb + gg + min(r % 3 + rrr, g % 3, b % 3)

bbb = (3 if b >= 3 else 0)
slon3 = (bb - 1) + rr + gg + min(b % 3 + bbb, g % 3, r % 3)

ggg = (3 if g >= 3 else 0)
slon4 = (gg - 1) + bb + rr + min(g % 3 + ggg, r % 3, b % 3)

print(max(slon1, slon2, slon3, slon4))
