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 main1(r, g, b):

    rm = r % 3
    gm = g % 3
    bm = b % 3

    ans = int(r / 3) + int(g / 3) + int(b / 3) + min(rm, gm, bm)
    return ans


def main2(r, g, b):

    m = min(r, g, b)
    r -= m
    g -= m
    b -= m

    ans = int(r / 3) + int(g / 3) + int(b / 3) + m
    return ans


def main3(r0, g0, b0):
    r = r0
    g = g0
    b = b0

    m = min(r, g, b)
    r -= m
    g -= m
    b -= m

    ans = int(r / 3) + int(g / 3) + int(b / 3) + m
    rm = r % 3
    gm = g % 3
    bm = b % 3
    if (rm + gm + bm == 4) and (r0 and g0 and b0):
        ans += 1
    return ans


def main():
    inp = [int(j) for j in input().split(" ")]
    r = inp[0]
    g = inp[1]
    b = inp[2]
    print(main3(r, g, b))
    # print(max(main1(r, g, b), main2(r, g, b)))


main()

