数学是万能的

#include <iostream>
#include <algorithm>
using namespace std;

int maxTeams(int a, int b) {
    int ans = 0;
    for (int i = 0; i <= min(a / 2, b); ++i) {
        int tempA = a - 2 * i;
        int tempB = b - i;
        ans = max(ans, i + min(tempB / 2, tempA));
    }
    return ans;
}

int main() {
    int T;
    cin >> T;
    while (T--) {
        int a, b;
        cin >> a >> b;
        cout << maxTeams(a, b) << endl;
    }
    return 0;
}