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.
# http://codeforces.com/problemset/problem/322/B

def divide3(lista):
	total = 0
	for i in lista:
		total += int(i / 3)
	
	return total

def tiralista(lista, valor):
	tmp = lista[:]
	for i in range(len(tmp)):
		if tmp[i] == 0:
			return lista, 0
		tmp[i] -= valor
	return tmp, valor

lista = map(int, raw_input().split())
nums = []
for i in range(3):
	tmp, total = tiralista(lista, i)
	total += divide3(tmp)
	nums.append(total)
	
print max(nums)