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 a[3] = {0}, sum = 0, i;
  cin >> a[0] >> a[1] >> a[2];
  sort(a, a + 3);
  int d = min(min(a[0], a[1]), a[2]);
  for (i = 0; i < 3; i++) {
    sum = sum + a[i] / 3;
    a[i] = a[i] % 3;
  }
  sort(a, a + 3);
  if (a[0] == 0 && a[1] == 2 && a[2] == 2 && d != 0) {
    if (sum > 0) {
      sum++;
    }
  } else if (a[0] <= a[1] && a[1] <= a[2]) {
    sum = sum + a[0];
  }
  cout << sum << endl;
  return 0;
}
