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.
#include <bits/stdc++.h>
using namespace std;
int a, b, c, n, m, k, x, y, z, o, p, ans;
int main() {
  cin >> a >> b >> c;
  x = a;
  y = b;
  z = c;
  m += a / 3;
  a = a % 3;
  m += b / 3;
  b = b % 3;
  m += c / 3;
  c = c % 3;
  m += min(a, min(b, c));
  if (x > 0 && y > 0 && z > 0) {
    a = x;
    b = y;
    c = z;
    a--;
    b--;
    c--;
    n++;
    n += a / 3;
    a = a % 3;
    n += b / 3;
    b = b % 3;
    n += c / 3;
    c = c % 3;
    n += min(a, min(b, c));
  }
  cout << max(n, m);
}
