import java.io.*;
import java.util.*;

public class Main {
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner();
        int n = sc.nextInt();
        StringBuilder sb = new StringBuilder();
        while (n-- > 0) {
            long a = sc.nextLong();
            long b = sc.nextLong();
            long c = sc.nextLong();
            long ans = 0;
            if (a <= c) {
                ans += a * 2;
                c -= a;
                ans += c / 2;
                ans += b / 2 * 2;
            } else {
                ans += c * 2;
                ans += b / 2 * 2;
                ans += b % 2;
            }
            sb.append(ans).append("\n");
        }
        System.out.print(sb);
    }
}
class Scanner {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    StringTokenizer st = new StringTokenizer("");
    StringBuilder sb = new StringBuilder();
    
    public Scanner() throws Exception {
        
    }
    
    public int nextInt() throws Exception {
        return Integer.parseInt(next());
    }
    
    public long nextLong() throws Exception {
        return Long.parseLong(next());
    }
    
    public double nextDouble() throws Exception {
        return Double.parseDouble(next());
    }
    
    public String next() throws Exception {
        while (!st.hasMoreTokens()) {
            st = new StringTokenizer(br.readLine());
        }
        return st.nextToken();
    }
    
}