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.
def bred(base,one,two):
    result1=0
    result2=0
    base_new=base
    one_new=one
    two_new=two
    result1+=base/3
    base_new=base_new%3
    result1+=min(base_new,one_new,two_new)
    test1=min(base_new,one_new,two_new)
    one_new-=test1
    result1+=one_new/3
    two_new-=test1
    result1+=two_new/3
    base_new=base
    one_new=one
    two_new=two
    test=min(base_new,one_new,two_new)
    result2+=test
    base_new-=test
    one_new-=test
    two_new-=test
    result2+=base_new/3+one_new/3+two_new/3
    return result1,result2
cvet=raw_input()
r=int(cvet.split(' ')[0])
g=int(cvet.split(' ')[1])
b=int(cvet.split(' ')[2])
result=[]
result1,result2=bred(r,g,b)
result.append(result1)
result.append(result2)
result1,result2=bred(g,r,b)
result.append(result1)
result.append(result2)
result1,result2=bred(b,g,r)
result.append(result1)
result.append(result2)
print max(result)