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.
r,g,b=input().split()
r=int(r)    
g=int(g)
b=int(b)    
    
sum=0      

if r%3==0 and g%3==0 and b%3==0:
    sum+=((r/3)+(g/3)+(b/3))
    c=0
    
else:
    sum1=0
    sum2=0
    sum3=0
    sum1+=1
    sum1+=(((r-1)//3)+((g-1)//3)+((b-1)//3))
    if r-1<0 or g-1<0 or b-1<0:
        sum1=0
    sum2+=2
    sum2+=(((r-2)//3)+((g-2)//3)+((b-2)//3))
    if r-2<0 or g-2<0 or b-2<0:
        sum2=0
    sum3+=((r//3)+(g//3)+(b//3))
    if sum1>=sum2 and sum1>sum3:
        sum=sum1
        c=1
        
    elif sum2>=sum1 and sum2>sum3:
        sum=sum2
        c=2
    else:
        sum=sum3
        c=3
print(int(sum))