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.
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#  code

def main():
    a = list(map(int , input().split()))
    if 0 in a:
        ans = 0
        for i in a:
            ans += i // 3
        print(ans)
        return
    
    ans = -1
    for m in range(3):
        b = [i - m for i in a]
        k = False
        for i in b:
            if i < 0:
                k = True
                break
        if k:
            break
        ans = max(ans , m + sum([i//3 for i in b]))
    print(ans)
    return

if __name__ == "__main__":
    main()
