Problem: Vasya is going to the Olympics in the city Ntown by train. The boy wants to read the textbook to prepare for the Olympics. He counted that he needed k hours for this. He also found that the light in the train changes every hour. The light is measured on a scale from 0 to 100, where 0 is very dark, and 100 is very light.

Vasya has a train lighting schedule for all n hours of the trip — n numbers from 0 to 100 each (the light level in the first hour, the second hour and so on). During each of those hours he will either read the whole time, or not read at all. He wants to choose k hours to read a book, not necessarily consecutive, so that the minimum level of light among the selected hours were maximum. Vasya is very excited before the upcoming contest, help him choose reading hours.

Input

The first input line contains two integers n and k (1 ≤ n ≤ 1000, 1 ≤ k ≤ n) — the number of hours on the train and the number of hours to read, correspondingly. The second line contains n space-separated integers ai (0 ≤ ai ≤ 100), ai is the light level at the i-th hour.

Output

In the first output line print the minimum light level Vasya will read at. In the second line print k distinct space-separated integers b1, b2, ..., bk, — the indexes of hours Vasya will read at (1 ≤ bi ≤ n). The hours are indexed starting from 1. If there are multiple optimal solutions, print any of them. Print the numbers bi in an arbitrary order.

Examples

Input

5 3
20 10 30 40 10


Output

20
1 3 4 


Input

6 5
90 20 35 40 60 100


Output

35
1 3 4 5 6 

Note

In the first sample Vasya should read at the first hour (light 20), third hour (light 30) and at the fourth hour (light 40). The minimum light Vasya will have to read at is 20.

Solution (in JAVA):

Solution:
import java.util.*; import java.io.*; import java.math.*;
public class Main{
    //Don't have to see. start------------------------------------------
    static class InputIterator{
        ArrayList<String> inputLine = new ArrayList<>(1024);
        int index = 0; int max; String read;
        InputIterator(){
            BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
            try{
                while((read = br.readLine()) != null){
                    inputLine.addAll(Arrays.asList(read.split(" ")));
                }
            }catch(IOException e){}
            max = inputLine.size();
        }
        boolean hasNext(){return (index < max);}
        String next(){
            if(hasNext()){
                return inputLine.get(index++);
            }else{
                throw new IndexOutOfBoundsException("There is no more input");
            }
        }
    }
    static HashMap<Integer, String> CONVSTR = new HashMap<>();
    static InputIterator ii = null;//new InputIterator();//This class cannot be used in reactive problem.
    static PrintWriter out = new PrintWriter(System.out);
    static void flush(){out.flush();}
    static void myout(Object t){out.println(t);}
    static void myerr(Object t){System.err.print("debug:");System.err.println(t);}
    static String next(){return ii.next();}
    static boolean hasNext(){return ii.hasNext();}
    static int nextInt(){return Integer.parseInt(next());}
    static long nextLong(){return Long.parseLong(next());}
    static double nextDouble(){return Double.parseDouble(next());}
    static ArrayList<String> nextCharArray(){return myconv(next(), 0);}
    static ArrayList<String> nextStrArray(int size){
        ArrayList<String> ret = new ArrayList<>(size);
        for(int i = 0; i < size; i++){
            ret.add(next());
        }
        return ret;
    }
    static ArrayList<Integer> nextIntArray(int size){
        ArrayList<Integer> ret = new ArrayList<>(size);
        for(int i = 0; i < size; i++){
            ret.add(Integer.parseInt(next()));
        }
        return ret;
    }
    static ArrayList<Long> nextLongArray(int size){
        ArrayList<Long> ret = new ArrayList<>(size);
        for(int i = 0; i < size; i++){
            ret.add(Long.parseLong(next()));
        }
        return ret;
    }
    @SuppressWarnings("unchecked")
    static String myconv(Object list, int no){//only join
        String joinString = CONVSTR.get(no);
        if(list instanceof String[]){
            return String.join(joinString, (String[])list);
        }else if(list instanceof ArrayList){
            return String.join(joinString, (ArrayList)list);
        }else{
            throw new ClassCastException("Don't join");
        }
    }
    static ArrayList<String> myconv(String str, int no){//only split
        String splitString = CONVSTR.get(no);
        return new ArrayList<String>(Arrays.asList(str.split(splitString)));
    }
    static ArrayList<String> myconv(String str, String no){
        return new ArrayList<String>(Arrays.asList(str.split(no)));
    }
    public static void main(String[] args){
        CONVSTR.put(8, " "); CONVSTR.put(9, "\n"); CONVSTR.put(0, "");
        solve();flush();
    }
    //Don't have to see. end------------------------------------------
    static void solve(){//Here is the main function
        File file = new File("input.txt");
        
        try{
            Scanner sc = new Scanner(file);
        int N = sc.nextInt();
        int K = sc.nextInt();
        Node[] list = new Node[N];
        for(int i = 0; i < N; i++){
            list[i] = new Node(i + 1, sc.nextInt());
        }
        Arrays.sort(list);
        int sum = 1 << 30;
        ArrayList<String> output = new ArrayList<>();
        for(int i = 0; i < K; i++){
            sum = Math.min(sum, list[i].v);
            output.add(String.valueOf(list[i].no));
        }
            File outfile = new File("output.txt");
            FileWriter fw = new FileWriter(outfile);
            BufferedWriter bw = new BufferedWriter(fw);
            bw.write(String.valueOf(sum));
            bw.newLine();
            bw.write(myconv(output, 8));
            bw.close();
            fw.close();
        }catch(Exception e){

        }
    }
    //Method addition frame start

static class Node implements Comparable<Node>{
    int no;
    int v;
    Node(int no, int v){
        this.no = no;
        this.v = v;
    }
    public int compareTo(Node ato){
        return ato.v - this.v;
    }
}

    //Method addition frame end
}