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:
//package credit;


import java.io.*;
import java.util.*;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.StringTokenizer;

public class Main{
    static boolean v[];
    static int ans[];
    int size[];
    static int count=0;
    static int dsu=0;
    static int c=0;
    static int e9=1000000007;
    int min=Integer.MAX_VALUE;
    int max=Integer.MIN_VALUE;
    long max1=Long.MIN_VALUE;
    long min1=Long.MAX_VALUE;
    boolean aBoolean=true;
    boolean y=false;
    long m=0;
    static boolean t1=false;
        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;
            }
        }
        int parent[];
        int rank[];
        int n=0;
        ArrayList<ArrayList<Integer>> arrayLists;
        boolean v1[];
        static boolean t2=false;
        boolean r=false;
        int fib[];
        int fib1[];
        int ind[];
        int min3=Integer.MAX_VALUE;
        public static void main(String[] args) throws IOException {
            Main g = new Main();
            g.go();
        }
        public void go() throws IOException {
            FastReader scanner = new FastReader();
//            Scanner scanner = new Scanner(System.in);
//            BufferedReader bufferedReader=new BufferedReader(new InputStreamReader(System.in));
//            String s;
            PrintWriter printWriter = new PrintWriter(System.out);
            int t = scanner.nextInt();
            for (int i = 0; i < t; i++) {
                int n=scanner.nextInt();
                int[] arr =new int[n];
                long ans[]=new long[n];
                ArrayList<Pair> pair=new ArrayList<>();
                for (int j = 0; j <n; j++) {
                    arr[j]=scanner.nextInt();
                    pair.add(new Pair(arr[j],j));
                }
                Collections.sort(pair,new Sorting());
                ArrayList<Integer> arrayList=new ArrayList<>();
                 ans[0]=pair.get(0).x;
                 arrayList.add(pair.get(0).y);
                for (int j = 1; j < n; j++) {
                    if(pair.get(j).x>ans[j-1]){
                        arrayList.clear();
                        ans[j]=ans[j-1]+pair.get(j).x;
                        arrayList.add(pair.get(j).y);
//                        System.out.println(pair.get(j).y+" "+"k");
                    }else {
                        ans[j] = ans[j-1] + pair.get(j).x;
                        arrayList.add(pair.get(j).y);
                    }
//                    System.out.println(arrayList.size());
                }
                Collections.sort(arrayList);
                printWriter.println(arrayList.size());
                for (int j = 0; j < arrayList.size(); j++) {
                    printWriter.print((arrayList.get(j)+1)+" ");
                }
                printWriter.println();
            }
            printWriter.flush();
        }
    static final int mod=1_000_000_007;
    public long mul(long a, long b) {
        return a*b;
    }
    public long fact(int x) {
        long ans=1;
        for (int i=2; i<=x; i++) ans=mul(ans, i);
        return ans;
    }
    public long fastPow(long base, long exp) {
        if (exp==0) return 1;
        long half=fastPow(base, exp/2);
        if (exp%2==0) return mul(half, half);
        return mul(half, mul(half, base));
    }
    public long modInv(long x) {
        return fastPow(x, mod-2);
    }
    public long nCk(int n, int k) {
        return mul(fact(n), mul(modInv(fact(k)), modInv(fact(n-k))));
    }
//    public void sieve(int n){
//        fib=new int[n+1];
//        fib[1]=-1;
//        fib[0]=-1;
//        for (int i =2; i*i<=n; i++) {
//            if(fib[i]==0)
//            for (int j =i*i; j <=n; j+=i){
//                fib[j]=-1;
////                System.out.println("l");
//            }
//        }
//    }
        public void parent(int n){
            for (int i = 0; i < n; i++) {
                parent[i]=i;
                rank[i]=1;
                size[i]=1;
            }
        }
        public void union(int i,int j){
            int root1=find(i);
            int root2=find(j);
//            if(root1 != root2) {
//                parent[root2] = root1;
////                sz[a] += sz[b];
//            }
            if(root1==root2){
                return;
            }
            if(rank[root1]>rank[root2]){
                parent[root2]=root1;
                size[root1]+=size[root2];
            }
            else if(rank[root1]<rank[root2]){
                parent[root1]=root2;
                size[root2]+=size[root1];
            }
            else{
                parent[root2]=root1;
                rank[root1]+=1;
                size[root1]+=size[root2];
            }
        }
        public int find(int p){
           if(parent[p]!=p){
               parent[p]=find(parent[p]);
           }
           return parent[p];
//            if(parent[p]==-1){
//                return -1;
//            }
//            else if(parent[p]==p){
//                return p;
//            }
//            else {
//                parent[p]=find(parent[p]);
//                return parent[p];
//            }
        }
        public double dist(double x1,double y1,double x2,double y2){
            double e=(x2-x1)*(x2-x1)+(y2-y1)*(y2-y1);
            double e1=Math.sqrt(e);
            return e1;
        }
        public void make(int p){
            parent[p]=p;
            rank[p]=1;
        }
        Random rand = new Random();
        public void sort(int[] a, int n) {
                for (int i = 0; i < n; i++) {
                   int j = rand.nextInt(i + 1);
                   int tmp = a[i];
                   a[i] = a[j];
                   a[j] = tmp;
                }
                Arrays.sort(a, 0, n);
        }
        public long gcd(long a,long b){
               if(b==0){
                  return a;
               }
               return gcd(b,a%b);
        }
        public void dfs(ArrayList<Integer> arrayLists1){
            for (int i = 0; i < arrayLists1.size(); i++) {
                if(v1[arrayLists1.get(i)]==false){
                    System.out.println(arrayLists1.get(i));
                    v1[arrayLists1.get(i)]=true;
                    count++;
                    dfs(arrayLists.get(arrayLists1.get(i)));
                }
            }
        }
        private void dfs2(ArrayList<Integer>[]arrayList,int j,int count){
            ans[j]=count;
            for(int i:arrayList[j]){
                if(ans[i]==-1){
                    dfs2(arrayList,i,count);
                }
            }
        }
        private void dfs3(ArrayList<Integer>[] arrayList, int j) {
            v[j]=true;
            count++;
            for(int i:arrayList[j]){
                if(v[i]==false) {
                    dfs3(arrayList, i);
                }
            }
        }
        public double fact(double h){
            double sum=1;
            while(h>=1){
                sum=(sum%e9)*(h%e9);
                h--;
            }
            return sum%e9;
        }
        public long primef(double r){
            long c=0;
            long ans=1;
            while(r%2==0){
                c++;
                r=r/2;
            }
            if(c>0){
                ans*=2;
            }
            c=0;
//            System.out.println(ans+" "+r);
            for (int i = 3; i <=Math.sqrt(r) ;i+=2) {
                while(r%i==0){
//                    System.out.println(i);
                    c++;
                    r=r/i;
                }
                if(c>0){
                    ans*=i;
                }
                c=0;
            }
            if(r>2){
                ans*=r;
            }
            return ans;
        }
        public long divisor(double r){
            long c=0;
            for (int i = 1; i <=Math.sqrt(r); i++) {
                if(r%i==0){
                    if(r/i==i){
                        c++;
                    }
                    else{
                        c+=2;
                    }
                }
            }
            return c;
        }
}
class Pair{
    int x;
    int y;
    double z;
    public Pair(int x,int y){
        this.x=x;
        this.y=y;
    }

    @Override
    public int hashCode() {
        int hash =37;
        return this.x * hash + this.y;
    }
    @Override
    public boolean equals(Object o1){
        if(o1==null||o1.getClass()!=this.getClass()){
            return false;
        }
        Pair o=(Pair)o1;
        if(o.x==this.x&&o.y==this.y){
            return true;
        }
        return false;
    }
}
class Sorting implements Comparator<Pair> {
    public int compare(Pair p1,Pair p2){
//        if(p1.x==p2.x){
//            return -1*Double.compare(p1.y,p2.y);
//        }
//        else {
            return Double.compare(p1.x, p2.x);
       // }
    }

}