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.
from itertools import permutations
r,b,g=list(map(int,input().split()))
lis=permutations([0,1,2,3])
def function(num,arr):
    ans=0
    for i in range(4):
        if num[i]==0:
            if arr[0]>2:
                temp=arr[0]//3
                arr[0]-=(3*temp)
                ans+=temp
        elif num[i]==1:
            if arr[1]>2:
                temp=arr[1]//3
                arr[1]-=(3*temp)
                ans+=temp
        elif num[i]==2:
            if arr[2]>2:
                temp=arr[2]//3
                arr[2]-=(3*temp)
                ans+=temp
        else:
            if min(arr)>0:
                temp=min(arr)
                arr[0]-=temp
                arr[1]-=temp
                arr[2]-=temp
                ans+=temp
    return ans
ans=0
for i in lis:
    arr=[r,b,g]
    ans=max(ans,function(i,arr))
print(ans)