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.
k=raw_input()
t=k.split(" ",2)
p=[0]*3
sum=0
r=int(t[0])
g=int(t[1])
b=int(t[2])

if r>2 and g>2 and b>2:
    p[2]=2+int((r-2)/3)+int((g-2)/3)+int((b-2)/3)
if r>1 and g>1 and b>1:
    p[1]=1+int((r-1)/3)+int((g-1)/3)+int((b-1)/3)

p[0]=int(r/3)+int(g/3)+int(b/3)
for i in p:
    if sum<i:
        sum=i
print sum        
        