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.
args = input("").split(" ")
red = int(args[0])
green = int(args[1])
blue = int(args[2])

redBoquets = int(red / 3)
blueBoquets = int(blue / 3)
greenBouquets = int(green / 3)

redFlowers = red % 3
blueFlowers = blue % 3
greenFlowers = green % 3

mixinBouquets = 0

if redFlowers <= greenFlowers and redFlowers <= blueFlowers:
    mixinBouquets = redFlowers
elif greenFlowers <= redFlowers and greenFlowers <= blueFlowers:
    mixinBouquets = greenFlowers
else:
    mixinBouquets = blueFlowers

if mixinBouquets == 0 and redFlowers + greenFlowers + blueFlowers == 4:
    #This means that the least of the flowers was zero but the others might have 2 each. So, remove the one which has 0 and add it to the other one
    if redFlowers == 0 and redBoquets > 0:
        mixinBouquets += 2
        redBoquets -= 1
    elif greenFlowers == 0 and greenBouquets > 0:
        mixinBouquets += 2
        greenBouquets -= 1
    elif blueFlowers == 0 and blueBoquets > 0:
        mixinBouquets += 2
        blueBoquets -= 1

print(int(redBoquets + greenBouquets + blueBoquets + mixinBouquets))