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.

line = raw_input()
flowers = []

for i in line.split(' '):
    flowers.append( (int)(i))

mini = flowers[0]
for i in flowers:
    if i < mini:
        mini = i

mixed = max(0, mini-2)
flowers[0] -= mixed
flowers[1] -= mixed
flowers[2] -= mixed

mini -= mixed
result = mixed

for i in range(3):
    a = flowers[0] - i
    b = flowers[1] - i
    c = flowers[2] - i
    if (a<0 or b<0 or c<0): continue
    can = a/3 + b/3 + c/3
    #print ("# ", mixed, i, can, a, b, c )
    result = max(result, mixed + can + i)

print result

