description: You are given three integers n, a, b. Determine if there exists a permutation p_1, p_2, …, p_n of integers from 1 to n, such that:
  
    * There are exactly a integers i with 2 ≤ i ≤ n-1 such that p_{i-1} < p_i > p_{i+1} (in other words, there are exactly a local maximums).
  
    * There are exactly b integers i with 2 ≤ i ≤ n-1 such that p_{i-1} > p_i < p_{i+1} (in other words, there are exactly b local minimums).
  
  
  
  
  If such permutations exist, find any such permutation.
  
  Input
  
  The first line of the input contains a single integer t (1 ≤ t ≤ 10^4) — the number of test cases. The description of test cases follows.
  
  The only line of each test case contains three integers n, a and b (2 ≤ n ≤ 10^5, 0 ≤ a,b ≤ n).
  
  The sum of n over all test cases doesn't exceed 10^5.
  
  Output
  
  For each test case, if there is no permutation with the requested properties, output -1.
  
  Otherwise, print the permutation that you are found. If there are several such permutations, you may print any of them.
  
  Example
  
  Input
  
  
  3
  4 1 1
  6 1 2
  6 4 0
  
  
  Output
  
  
  1 3 2 4
  4 2 3 1 5 6
  -1
  
  Note
  
  In the first test case, one example of such permutations is [1, 3, 2, 4]. In it p_1 < p_2 > p_3, and 2 is the only such index, and p_2> p_3 < p_4, and 3 the only such index.
  
  One can show that there is no such permutation for the third test case.
solution: #include <bits/stdc++.h>
  using namespace std;
  int main() {
    int t, a, b, n, i;
    cin >> t;
    while (t--) {
      cin >> n >> a >> b;
      if (a - b > 1 || a - b < -1 || n - 2 < a + b) {
        cout << "-1" << endl;
        continue;
      }
      if (a == 0 && b == 0) {
        cout << "1";
        for (int j = 2; j <= n; j++) cout << " " << j;
        cout << endl;
        continue;
      }
      if (a == b) {
        i = 0;
        cout << a + 1;
        while (i < a) {
          i++;
          cout << " " << i;
          if (i == 1)
            for (int j = a + b + 2; j <= n; j++) cout << " " << j;
          else
            cout << " " << a + b - i + 3;
        }
        cout << " " << a + 2 << endl;
      } else if (a > b) {
        i = 0;
        cout << a + 1;
        while (i < a) {
          i++;
          if (i == 1)
            for (int j = a + b + 2; j <= n; j++) cout << " " << j;
          else
            cout << " " << a + b - i + 3;
          cout << " " << i;
        }
        cout << endl;
      } else {
        i = 0;
        cout << b + 1;
        while (i < b) {
          i++;
          cout << " " << i;
          if (i == 1)
            for (int j = a + b + 2; j <= n; j++) cout << " " << j;
          else
            cout << " " << a + b - i + 3;
        }
        cout << endl;
      }
    }
  }
  