Problem: A championship is held in Berland, in which n players participate. The player with the number i has a_i (a_i ≥ 1) tokens.

The championship consists of n-1 games, which are played according to the following rules:

  * in each game, two random players with non-zero tokens are selected; 
  * the player with more tokens is considered the winner of the game (in case of a tie, the winner is chosen randomly); 
  * the winning player takes all of the loser's tokens; 



The last player with non-zero tokens is the winner of the championship.

All random decisions that are made during the championship are made equally probable and independently.

For example, if n=4, a = [1, 2, 4, 3], then one of the options for the game (there could be other options) is: 

  * during the first game, the first and fourth players were selected. The fourth player has more tokens, so he takes the first player's tokens. Now a = [0, 2, 4, 4]; 
  * during the second game, the fourth and third players were selected. They have the same number of tokens, but in a random way, the third player is the winner. Now a = [0, 2, 8, 0]; 
  * during the third game, the second and third players were selected. The third player has more tokens, so he takes the second player's tokens. Now a = [0, 0, 10, 0]; 
  * the third player is declared the winner of the championship. 



Championship winners will receive personalized prizes. Therefore, the judges want to know in advance which players have a chance of winning, i.e have a non-zero probability of winning the championship. You have been asked to find all such players. 

Input

The first line contains one integer t (1 ≤ t ≤ 10^4) — the number of test cases. Then t test cases follow.

The first line of each test case consists of one positive integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the number of players in the championship.

The second line of each test case contains n positive integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 10^9) — the number of tokens the players have.

It is guaranteed that the sum of n over all test cases does not exceed 2 ⋅ 10^5. 

Output

For each test case, print the number of players who have a nonzero probability of winning the championship. On the next line print the numbers of these players in increasing order. Players are numbered starting from one in the order in which they appear in the input. 

Example

Input


2
4
1 2 4 3
5
1 1 1 1 1


Output


3
2 3 4 
5
1 2 3 4 5 

Solution (in JAVA):

Solution:

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

public class Asd {

    static PrintWriter w = new PrintWriter(System.out);
    static FastScanner s = new FastScanner();
    static boolean sd = false;

    public static void main(String[] args) {

       { int t = s.nextInt();
        //int t=1;
        while (t-- > 0) {
            solve();
        }
        w.close();
       }
       
    }

    public static class Student {

        public long i1;
        public int value;

        // A parameterized student constructor
        public Student(long i1, int i2) {

            this.i1 = i1;
            this.value = i2;
        }

        public long getkey() {
            return i1;
        }

        public int getValue() {
            return value;
        }
    }

    static class StudentComparator implements Comparator<Student> {

            // on polling you will get smallest number
        @Override
        public int compare(Student s1, Student s2) {
            if (s1.i1 < s2.i1) {
                return -1;
            } else if (s1.i1 > s2.i1) {
                return 1;
            }
            return 0;
        }
    }

    /* Function to print all the permutations of the string
     static String swap(String str, int i, int j)
     {
     char ch;
     char[] array = str.toCharArray();
     ch = array[i];
     array[i] = array[j];
     array[j] = ch;
     return String.valueOf(array);
     }
    
     static void permute(String str,int low,int high)
     {
     if(low == high)
     list.add(Long.parseLong(str));
 
     int i;
     for(i = low; i<=high; i++){
     str = swap(str,low,i);
     permute(str, low+1,high);
     str = swap(str,low,i);
     }
     }
     use  permute(str2,0,str2.length()-1); to perform combinations
     */
    public static void solve() {
         int n = s.nextInt();
        long arr[]=s.readArray(n);
        long sum[]=new long[n];long y=0;
        PriorityQueue<Student> pq=new PriorityQueue<Student>(new StudentComparator());
        //PriorityQueue<Student> pq1=new PriorityQueue<Student>(new StudentComparator());
        Student fg[]=new Student[n];
        for(int i=0;i<n;i++)
        {
            pq.add(new Student(arr[i],i));
        }
        ArrayList<Integer> list=new ArrayList<>();
        for(int i=0;i<n;i++)
        {
            Student st=pq.poll();
            long val=st.getkey();
            
            y+=val;
          //  w.print(y+" ");
            sum[i]=y;
            fg[i]=st;
            
        }
        int j=0;
        for(int i=n-1;i>=0;i--)
        {
            
            if(i-1>=0&&fg[i].getkey()>sum[i-1])
            {
                j=i;
                break;
            }
        }
        for(int i=j;i<n;i++)
        {
            list.add(fg[i].getValue());
        }
        Collections.sort(list);
        w.println(list.size());
         for(int i=0;i<list.size();i++)
             w.print(list.get(i)+1+" ");
         w.println();
        
    }

    static void call(ArrayList<Integer> t, ArrayList<Integer> m) {
        if (t.size() == 0 && m.size() == 0) {
            sd = true;
            return;
        }
        t.remove(0);
        t.remove(t.size() - 1);
        call(t, new ArrayList<Integer>(m.subList(0, m.size() - 1)));
        call(t, new ArrayList<Integer>(m.subList(1, m.size())));
    }

    static long gcd(long a, long b) {
        if (b == 0) {
            return a;
        }
        return gcd(b, a % b);
    }

    static int noofdivisors(int n) {
        //it counts no of divisors of every number upto number n

        int arr[] = new int[n + 1];
        for (int i = 1; i <= (n); i++) {
            for (int j = i; j <= (n); j = j + i) {
                arr[j]++;
            }
        }
        return arr[0];
    }

    static char[] reverse(char arr[]) {
        char[] b = new char[arr.length];
        int j = arr.length;
        for (int i = 0; i < arr.length; i++) {
            b[j - 1] = arr[i];
            j = j - 1;
        }
        return b;
    }

    static long factorial(int n) {
        if (n == 0) {
            return 1;
        }
        long su = 1;
        for (int i = 1; i <= n; i++) {
            su *= (long) i;
        }
        return su;
    }

    static class FastScanner {

        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        StringTokenizer st = new StringTokenizer("");

        public String next() {
            while (!st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

        long[] readArray(int n) {
            long[] a = new long[n];
            for (int i = 0; i < n; i++) {
                a[i] = nextLong();
            }
            return a;
        }

        int nextInt() {
            return Integer.parseInt(next());
        }

        long nextLong() {
            return Long.parseLong(next());
        }

        double nextDouble() {
            return Double.parseDouble(next());
        }
    }

}