#include<bits/stdc++.h>
using namespace std;
using ll=long long;
#define rep(i,n) for(int i=0;i<n;i++)
#define rrep(i,n) for(int i=(n)-1;i>=0;i--)
#define all(v) v.begin(),v.end()
#define rall(v) v.rbegin(),v.rend()
template<class T> bool chmax(T &a, T b){if (a < b){a = b;return true;} else return false;}
template<class T> bool chmin(T &a, T b){if (a > b){a = b;return true;} else return false;}

void solve(){
    ll a,b,c;
    cin>>a>>b>>c;
    ll ans=0;
    if(a>=c){
        ans+=2*c;
        a-=c;
        c=0;
    }else{
        ans+=2*a;
        c-=a;
        a=0;
    }
    ans+=c/2;
    if(b%2==0)ans+=b;
    else if(a>0)ans+=b;
    else ans+=b-1;
    cout<<ans<<"\n";
}

int main(){
    ios::sync_with_stdio(false);
    std::cin.tie(nullptr);
    int t;
    cin>>t;
    while(t--)solve();
}