Polycarp plays a well-known computer game (we won’t mention its name). In this game, he can craft tools of two types — shovels and swords. To craft a shovel, Polycarp spends two sticks and one diamond; to craft a sword, Polycarp spends two diamonds and one stick.
Each tool can be sold for exactly one emerald. How many emeralds can Polycarp earn, if he has a sticks and b diamonds?
Input
The first line contains one integer t (1≤t≤1000) — the number of test cases.
The only line of each test case contains two integers a and b (0≤a,b≤109) — the number of sticks and the number of diamonds, respectively.
Output
For each test case print one integer — the maximum number of emeralds Polycarp can earn.
#include
using namespace std;
const int N = 2e5+10;
int test=1;
int main()
{
scanf("%d",&test);
while(test--)
{
int a,b;scanf("%d%d",&a,&b);
cout << min(min(a,b),(a+bits)/3) << endl;
}
return 0;
}