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 main() {
  int r, g, b;
  int r1, g1, b1;
  int a[4];
  while (cin >> r >> g >> b) {
    r1 = r / 3;
    g1 = g / 3;
    b1 = b / 3;
    int ans = r1 + g1 + b1;
    if (r && g && b) {
      a[0] = r % 3;
      a[1] = g % 3;
      a[2] = b % 3;
      sort(a, a + 3);
      if (a[0] == 0 && a[1] == 2)
        ans++;
      else
        ans += a[0];
    }
    cout << ans << endl;
  }
  return 0;
}
