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;
constexpr int N = 500 + 10;
int n, m, k, ans;
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(0);
  cout.tie(0);
  cin >> n >> m >> k;
  ans = n / 3 + m / 3 + k / 3;
  if (n) {
    n %= 3;
    if (!n) {
      n = 3;
      ans--;
    }
  }
  if (m) {
    m %= 3;
    if (!m) {
      m = 3;
      ans--;
    }
  }
  if (k) {
    k %= 3;
    if (!k) {
      k = 3;
      ans--;
    }
  }
  cout << ans + max(min(n, min(k, m)), n / 3 + m / 3 + k / 3) << '\n';
  return 0;
}
