description: Paprika loves permutations. She has an array a_1, a_2, ..., a_n. She wants to make the array a permutation of integers 1 to n.
  
  In order to achieve this goal, she can perform operations on the array. In each operation she can choose two integers i (1 ≤ i ≤ n) and x (x > 0), then perform a_i := a_i mod x (that is, replace a_i by the remainder of a_i divided by x). In different operations, the chosen i and x can be different.
  
  Determine the minimum number of operations needed to make the array a permutation of integers 1 to n. If it is impossible, output -1.
  
  A permutation is an array consisting of n distinct integers from 1 to n in arbitrary order. For example, [2,3,1,5,4] is a permutation, but [1,2,2] is not a permutation (2 appears twice in the array) and [1,3,4] is also not a permutation (n=3 but there is 4 in the array).
  
  Input
  
  Each test contains multiple test cases. The first line contains a single integer t (1 ≤ t ≤ 10^4) — the number of test cases. Description of the test cases follows.
  
  The first line of each test case contains an integer n (1 ≤ n ≤ 10^5).
  
  The second line of each test case contains n integers a_1, a_2, ..., a_n. (1 ≤ a_i ≤ 10^9).
  
  It is guaranteed that the sum of n over all test cases does not exceed 2 ⋅ 10^5.
  
  Output
  
  For each test case, output the minimum number of operations needed to make the array a permutation of integers 1 to n, or -1 if it is impossible.
  
  Example
  
  Input
  
  
  4
  2
  1 7
  3
  1 5 4
  4
  12345678 87654321 20211218 23571113
  9
  1 2 3 4 18 19 5 6 7
  
  
  Output
  
  
  1
  -1
  4
  2
  
  Note
  
  For the first test, the only possible sequence of operations which minimizes the number of operations is: 
  
    * Choose i=2, x=5. Perform a_2 := a_2 mod 5 = 2. 
  
  
  
  For the second test, it is impossible to obtain a permutation of integers from 1 to n.
solution: /* package codechef; // don't place package name! */
  
  import java.util.*;
  import java.lang.*;
  import java.io.*;
  /* Name of the class has to be "Main" only if the class is public. */
  public class Codechef
  {static class FastReader 
      { 
          BufferedReader br; 
          StringTokenizer st; 
    
          public FastReader() 
          { 
              br = new BufferedReader(new
                       InputStreamReader(System.in)); 
          } 
    
          String next() 
          { 
              while (st == null || !st.hasMoreElements()) 
              { 
                  try
                  { 
                      st = new StringTokenizer(br.readLine()); 
                  } 
                  catch (IOException  e) 
                  { 
                      e.printStackTrace(); 
                  } 
              } 
              return st.nextToken(); 
          } 
    
          int nextInt() 
          { 
              return Integer.parseInt(next()); 
          } 
    
          long nextLong() 
          { 
              return Long.parseLong(next()); 
          } 
    
          double nextDouble() 
          { 
              return Double.parseDouble(next()); 
          } 
    
          String nextLine() 
          { 
              String str = ""; 
              try
              { 
                  str = br.readLine(); 
              } 
              catch (IOException e) 
              { 
                  e.printStackTrace(); 
              } 
              return str; 
          } 
      } 
  //    static int mod = 998244353 ;
  //    static int N = 200005;
  //    static long factorial_num_inv[] = new long[N+1];
  //    static long natual_num_inv[] = new long[N+1];
  //    static long fact[] = new long[N+1];
  //    static void InverseofNumber() 
  //{ 
  //    natual_num_inv[0] = 1;
  //    natual_num_inv[1] = 1; 
  //    for (int i = 2; i <= N; i++) 
  //        natual_num_inv[i] = natual_num_inv[mod % i] * (mod - mod / i) % mod; 
  //} 
  //static void InverseofFactorial() 
  //{ 
  //    factorial_num_inv[0] = factorial_num_inv[1] = 1; 
    
  //    for (int i = 2; i <= N; i++) 
  //        factorial_num_inv[i] = (natual_num_inv[i] * factorial_num_inv[i - 1]) % mod; 
  //} 
  //static long nCrModP(long N, long R) 
  //{ 
  //    long ans = ((fact[(int)N] * factorial_num_inv[(int)R]) % mod * factorial_num_inv[(int)(N - R)]) % mod; 
  //    return ans%mod; 
  //}
      //static boolean prime[];
      //static void sieveOfEratosthenes(int n)
      //{
      //    prime = new boolean[n+1];
          
      //    for (int i = 0; i <= n; i++)
      //        prime[i] = true;
   
      //    for (int p = 2; p * p <= n; p++)
      //    {
      //        // If prime[p] is not changed, then it is a
      //        // prime
      //        if (prime[p] == true)
      //        {
      //            // Update all multiples of p
      //            for (int i = p * p; i <= n; i += p)
      //                prime[i] = false;
      //        }
      //    }
   
          
      //}
      
      static int visited[];
  	public static void main (String[] args) throws java.lang.Exception
  	{
      //    InverseofNumber();
      //    InverseofFactorial();
      //   fact[0] = 1; 
      //   for (long i = 1; i <= 2*100000; i++)
      //   { 
      //       fact[(int)i] = (fact[(int)i - 1] * i) % mod; 
      //   }
      
  		FastReader scan = new FastReader();
  		PrintWriter pw = new PrintWriter(System.out);
          int t = scan.nextInt();
          while(t-->0){
              int n = scan.nextInt();
              int a[] = new int[n+1];
              int visited[] = new int[n+1];
              int ans = 0;
              for(int i=0;i<n;i++){
                  int x = scan.nextInt();
                  if(x<=n && visited[x]!=1){
                      visited[x] = 1;
                      ans++;
                  }
                  else{
                  if(x%2==0){
                      int index = x/2-1;
                      if(index>n)
                      a[n]++;
                      else
                      a[index]++;
                  }
                  else{
                      int index = x/2;
                      if(index>n)
                      a[n]++;
                      else
                      a[index]++;
                  }}
              }
              int count = 0;
              int i=n;
              for(i=n;i>0;i--){
                  count = count+a[i];
                  if(visited[i]==0){
                      visited[i] = 1;
                      if(count>0){
                          count--;
                      }
                      else{
                          break;
                      }
                  }
              }
              if(i==0)
              pw.println(n-ans);
              else
              pw.println(-1);
              pw.flush();
          }
      
      }
        
          //static long bin_exp_mod(long a,long n){
              
          //    long res = 1;
              
          //    if(a==0)
          //    return 0;
          //    while(n!=0){
          //        if(n%2==1){
          //            res = ((res)*(a));
          //        }
          //           n = n/2;
          //            a = ((a)*(a));
          //    }
             
          //    return res;
          //}
      //static long bin_exp_mod(long a,long n){
  	//    long mod = 998244353;
  	//    long res = 1;
  	//    a = a%mod;
  	//    if(a==0)
  	//    return 0;
  	//    while(n!=0){
  	//        if(n%2==1){
  	//            res = ((res%mod)*(a%mod))%mod;
  	//        }
  	//           n = n/2;
  	//            a = ((a%mod)*(a%mod))%mod;
  	//    }
  	//    res = res%mod;
  	//    return res;
  	//}
  //   static long gcd(long a,long b){
  //       if(a==0)
  //       return b;
  //       return gcd(b%a,a);
  //   }
  //   static long lcm(long a,long b){
  //       return (a/gcd(a,b))*b;
  //   }
  }
  //class Pair{
  //    int x,y;
  //    Pair(int x,int y){
  //        this.x = x;
  //        this.y = y;
  //    }
  //}
  //    public boolean equals(Object obj) {
  //        // TODO Auto-generated method stub
  //        if(obj instanceof Pair)
  //        {
  //            Pair temp = (Pair) obj;
  //            if(this.x.equals(temp.x) && this.y.equals(temp.y))
  //                return true;
  //        }
  //        return false;
  //    }
  
  //    @Override
  //    public int hashCode() {
  //        // TODO Auto-generated method stub
          
  //        return (this.x.hashCode() + this.y.hashCode());        
  //    }
  //}
  //class Compar implements Comparator<Pair>{
  //    public int compare(Pair p1,Pair p2){
  //        if(p1.y>p2.y)
  //        return 1;
  //        else
  //        return -1;
  //    }
  //}