/* -*- coding: utf-8 -*-
 *
 * 2110.cc:  No.2110 012 Matching - yukicoder
 */

#include<cstdio>
#include<algorithm>
 
using namespace std;

/* constant */

/* typedef */

typedef long long ll;

/* global variables */

ll check(ll a, ll b, ll c, ll d02) {
  a -= d02, c -= d02;
  ll sum = d02 * 2 + c / 2 + (a > 0 ? b : b / 2 * 2);
  return sum;
}

/* subroutines */

/* main */

int main() {
  int tn;
  scanf("%d", &tn);

  while (tn--) {
    ll a, b, c;
    scanf("%lld%lld%lld", &a, &b, &c);

    ll d02 = min(a, c);
    ll sum = check(a, b, c, d02);
    if (d02 > 0)
      sum = max(sum, check(a, b, c, d02 - 1));

    printf("%lld\n", sum);
  }
  return 0;
}