#include <bits/stdc++.h>

using namespace std;
#define rep(i,n) for(int i=0;i<n;++i)
#define rep1(i,n) for(int i=1;i<=n;++i)
#define rrep(i,n) for(int i=n-1;i>=0;--i)
#define debug(output) if(debugFlag)cout<<#output<<"= "<<output<<"\n";
using lint = long long;
typedef pair<int,int> P;
const bool debugFlag=true;
const lint linf=1.1e18;const int inf=1.01e9;
constexpr int MOD=1000000007;
template<class T>bool chmax(T &a, const T &b) { if(a < b){ a = b; return 1; } return 0; }
template<class T>bool chmin(T &a, const T &b) { if(a > b){ a = b; return 1; } return 0; }

signed main(){
    cin.tie(0);
    ios::sync_with_stdio(false);
    int t;cin>>t;
    rep(i,t){
        lint a,b,c;cin>>a>>b>>c;
        lint res=0;
        if(a>=c){
            res+=c*2;
            a-=c;
            c=0;
        }
        else{
            res+=a*2;
            c-=a;
            a=0;
        }
        if(a>0){
            res+=b;
        }
        else{
            res+=c/2;
            res+=b-b%2;
        }
        cout<<res<<"\n";
    }
    return 0;
}