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 x, y, z;
inline int F(int a, int b, int c) { return a / 3 + b / 3 + c / 3; }
int main() {
  int a, b, c, _min;
  scanf("%d %d %d", &a, &b, &c);
  _min = ((a) < (((b) < (c) ? (b) : (c))) ? (a) : (((b) < (c) ? (b) : (c))));
  x = F(a, b, c);
  if (_min >= 1) y = F(a - 1, b - 1, c - 1) + 1;
  if (_min >= 2) z = F(a - 2, b - 2, c - 2) + 2;
  printf("%d\n", max(x, max(y, z)));
  return 0;
}
