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.
x=raw_input("")

a=[int(j) for j in x.split()]

a.sort()
answ=0

a1=[j%3 for j in a]
a1.sort()
if a1.count(2)>=2 and 0 not in a:
    for i in range(2):
        for i in range(3):
            a[i]=a[i]-1       
        answ+=1

for i in range(3):
    answ+=a[i]/3
    a[i]=a[i]%3

while 0 not in a:
    for i in range(3):
        a[i]=a[i]-1
    answ+=1

print(answ)