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.
lista = map(int,raw_input().split(' '))

bouquet = 0
corte = min(lista) - 3

if corte > 0:
  for i in range(len(lista)):
      lista[i] -= corte
  bouquet += corte


lista.sort()


if lista[1] >= 3 and lista[2] >= 3:
  bouquet += lista[1]/3
  lista[1] = lista[1] % 3
  bouquet += lista[2]/3
  lista[2] = lista[2] % 3

minimo = min(lista)

for i in range(len(lista)):
  lista[i] -= minimo
bouquet += minimo


if lista[0] == 3:
  lista[0] -= 3
  bouquet += 1

bouquet += lista[1]/3
lista[1] = lista[1] % 3
bouquet += lista[2]/3
lista[2] = lista[2] % 3

print bouquet