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.
#190 div 2 B. Ciel and Flowers

data = input().split(" ")
r = int(data[0])
g = int(data[1])
b = int(data[2])
r2 = False
g2 = False
b2 = False

bonquets = 0
if r%3 == 2:
	r2 = True
if g%3 == 2:
	g2 = True
if b%3 == 2:
	b2 = True

if (r2 and g2) or (r2 and b2) or (g2 and b2):
	if min(r,g,b) >= 2:
		r -= 2
		g -= 2
		b -= 2
		bonquets += 2

bonquets += int(r/3)
r = r%3
bonquets += int(g/3)
g = g%3
bonquets += int(b/3)
b = b%3

bonquets += min(r, g, b)

print(bonquets)