#include <bits/stdc++.h>
using namespace std;
#define fast_io ios::sync_with_stdio(0); cin.tie(0); cout.tie(0)
#define int long long
#define endl '\n'
 
void solve(){
    int r,g,b;
    cin>>r>>g>>b;
    int ans=0;
    int lim = min({(int)2, r, g, b});
    for(int k=0;k<=lim;++k) ans = max(ans, k + (r-k)/3 + (g-k)/3 + (b-k)/3);
    cout<<ans<<endl;
}
 
int32_t main(){
    fast_io;
    int t=1;
    if(cin>>t){
        while(t--) solve();
    } else solve();
    return 0;
}
 

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