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() {
  long long int g, b, r, n = 0, m, r1, g1, b1;
  cin >> r >> g >> b;
  r1 = r;
  b1 = b;
  g1 = g;
  if (g + r + b < 3) {
    cout << 0;
    return 0;
  }
  for (m = 0; m < 3; m++) {
    if (m > r || m > g || m > b)
      continue;
    else {
      r1 = r - m;
      g1 = g - m;
      b1 = b - m;
      n = max(n, m + r1 / 3 + g1 / 3 + b1 / 3);
    }
  }
  cout << n;
  return 0;
}
