#include <bits/stdc++.h>
#ifdef SHO_LOCAL
#include "debug.h"
#else
#define debug(...)                                                             \
  {}
#endif
using namespace std;

void solution() {
  long long a, b, c;
  cin >> a >> b >> c;
  long long ans = 0;
  long long t = min(c, a);
  if (a <= c) {
    c -= a;
    a = 0;
  } else {
    a -= c;
    c = 0;
  }
  ans += t * 2;
  t = min(a, b);
  ans += t;
  cout << ans << '\n';
}

int main() {
  iostream::sync_with_stdio(0), cin.tie(0), cout.tie(0);

  int TT;
  cin >> TT;
  for (int tc = 1; tc <= TT; tc++) {
    // cout << "Case #" << tc << ": " << solution() << '\n';
    solution();
  }

  return 0;
}