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.
dados = input().split()
flowers = [int(dados[0]), int(dados[1]), int(dados[2])]

buques = 0
buques = flowers[0] // 3 + flowers[1] // 3 + flowers[2] // 3

if (flowers[0] and flowers[1] and flowers[2]) > 0:
    buques = max(buques, 1+(flowers[0] - 1) // 3 + (flowers[1] - 1) // 3 + (flowers[2] - 1) // 3)
    buques = max(buques, 2+(flowers[0] - 2) // 3 + (flowers[1] - 2) // 3 + (flowers[2] - 2) // 3)

print(buques)
