#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long long ull;
constexpr int dx[]={1,0,0,-1},dy[]={0,1,-1,0};
constexpr int Dx[]={1,1,0,-1,-1,-1,0,1},Dy[]={0,1,1,1,0,-1,-1,-1};
constexpr int mod=998244353,Mod=1e9+7,inf=Mod;
constexpr ll linf=(ll)inf*inf;
//*
#include<atcoder/all>
using namespace atcoder;
//*/
int main(){
	int t;
	ll a,b,c;
	cin>>t;
	while(cin>>a>>b>>c)
		cout<<(c<a?b+c*2:a*2+b/2*2+(c-a)/2)<<endl;
}