#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int Mod=1e9+7;
const ll INF = 10000000000000;
const int N = 1e6+7;
bool f(ll mid , ll a,ll b){
if(mid<=a && mid<=b && mid<=(a+b)/3) return true;
return false;
}
void solve() {
ll a,b;
cin >> a >> b;
ll l=0,r=1e12,ans=0;
while(l<=r){
ll mid = (l+r)/2;
if(f(mid,a,b)){
ans=mid;
l=mid+1;
}
else r=mid-1;
}
cout << ans << '\n';
}
int main(){
ios::sync_with_stdio(false);
cin.tie(nullptr);
int t;
cin >> t;
while (t--) solve();
return 0;
}
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