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.
r, g, b = (int(x) for x in input().split())
res = 0
if r > 3:
	res += (r - 3) // 3
	r -= (r - 3) // 3 * 3
if g > 3:
	res += (g - 3) // 3
	g -= (g - 3) // 3 * 3
if b > 3:
	res += (b - 3) // 3
	b -= (b - 3) // 3 * 3
tot = 0
for i in range(2 ** 3):
	cur = 0
	left = 100
	l = [r, g, b]
	for j in range(3):
		if (2 ** j) & i:
			if l[j] >= 3:
				cur += 1
				l[j] -= 3
		left = min(left, l[j])
	tot = max(tot, res + cur + left)
print(tot)
