#include <bits/stdc++.h>
using namespace std;
typedef long long int ll;
typedef pair<ll,ll> P;
typedef vector<ll> VI;
typedef vector<VI> VVI;
#define REP(i,n) for(int i=0;i<(n);i++)
#define ALL(v) v.begin(),v.end()
template<typename T> bool chmax(T &x, const T &y) {return (x<y)?(x=y,true):false;};
template<typename T> bool chmin(T &x, const T &y) {return (x>y)?(x=y,true):false;};
constexpr ll MOD=998244353;
constexpr ll INF=2e18;

void solve(){
    ll a, b, c;
    cin >> a >> b >> c;
    ll ans=0, x;
    x=min(a,c);
    ans+=x*2;
    a-=x, c-=x;
    ans+=b/2*2;
    b%=2;
    if(a>0)
        ans+=b;
    else
        ans+=c/2;
    cout << ans << endl;
}

int main(){
    int t; cin >> t;
    while(t--) solve();
    return 0;
}