#include<bits/stdc++.h>
#include<bit>
using namespace std;
using ll = long long;
using ld = long double;
const ll INF = LLONG_MAX / 4;
#define rep(i, a, b) for(int i = a; i < (b); i++)
#define rrep(i, a, b) for(int i = (b)-1; i >= (a); i--)
#define all(a) begin(a), end(a)
bool chmin(auto& a, auto b) {return a > b ? a = b, 1 : 0; }
bool chmax(auto& a, auto b) {return a < b ? a = b, 1 : 0; }

const int mod = 100'000;

int main() {
    cin.tie(0) -> sync_with_stdio(false);

    int t;
    cin >> t;
    while(t--) {
        ll n,m;
        cin >> n >> m;
        ll ans = 0;
        ll cnt = min(n/4, m/2);
        ans = cnt*3;
        n -= cnt*4;
        m -= cnt*2;
        cnt = n/10;
        ans += cnt * 6;
        n -= cnt * 10;
        while(n >= 0 && m >= 0) {
            if(m < 2) {
                n -= 2;
                m += 4;
                continue;
            }
            if(n >= 4) {
                ans += 3;
                n -= 4;
                m -= 2;
            }else {
                break;
            }
        }
        cout << ans << endl;
    }
}