#include<bits/stdc++.h>
using namespace std;
#define rep(i,n) for (long long i=0;i<(long long)(n);i++)
#define all(v) v.begin(),v.end()
using ll=long long;
using pll=pair<ll,ll>;
using tll=tuple<ll,ll,ll>;
const ll INF=(1ll<<60);
template<class T> void chmin(T &a,T b){
    if(a>b){
        a=b;
    }
}
template<class T> void chmax(T &a,T b){
    if(a<b){
        a=b;
    }
}
int main(){
    ll t;
    cin >> t;
    while(t--){
        vector<ll> v(3);
        cin >> v[0] >> v[1] >> v[2];
        ll ans=0;
        ll k=min(v[0],v[2]);
        ans+=2*k;
        v[0]-=k;
        v[2]-=k;
        k=v[1]/2;
        ans+=2*k;
        v[1]-=2*k;
        k=min(v[0],v[1]);
        ans+=1*k;
        v[0]-=k;
        v[1]-=k;
        rep(i,3) ans+=(i+i)%3*(v[i]/2);
        cout << ans << endl;
    }
}