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;
const long long MAX = 100000001;
int dx[8] = {1, 0, 0, -1, 1, -1, 1, -1};
int dy[8] = {0, 1, -1, 0, 1, -1, -1, 1};
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(0);
  cout.tie(0);
  long long r, b, g, ans = 0;
  cin >> r >> g >> b;
  ans = min(r, min(g, b));
  r -= ans;
  g -= ans;
  b -= ans;
  if (r % 3 + g % 3 + b % 3 == 4 && ans) ans++;
  ans += r / 3 + g / 3 + b / 3;
  cout << ans;
  return 0;
}
