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:
/*
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 * and open the template in the editor.
 */
//package javaapplication1;

//import java.util.Scanner;


import java.io.BufferedReader;
import java.io.DataInputStream;
import java.io.FileInputStream;
import java.io.FileNotFoundException;
import java.io.FileOutputStream;
import java.io.FileReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.io.UnsupportedEncodingException;
import java.math.BigDecimal;
import java.util.*;

public class Main {
    final int N=(int)15e6+3;
        
    public static void main(String[] args) throws IOException {
       // Reader.init(System.in);
        Scanner in=new Scanner(new FileInputStream("input.txt"));
        //FastReader in=new FastReader();
        //in=new FileReader("input.txt");
        PrintWriter out=new PrintWriter(new FileOutputStream("output.txt"));
        Main ob=new Main();
        int n=in.nextInt(),k=in.nextInt();
        ArrayList<pair> arr=new ArrayList();
        for(int i=0;i<n;i++)
            arr.add(new pair(in.nextInt(),i+1));
        
        Collections.sort(arr,new pair());
        out.println(arr.get(n-k).x);
        for(int i=n-k;i<n;i++)
            out.print(arr.get(i).y+" ");
        out.println();
        
        out.close();
    }
    String sort(String inputString) 
    { 
        ArrayList<Character> arr=new ArrayList();
        for(int i=0;i<inputString.length();i++)
            arr.add(inputString.charAt(i));
        Collections.sort(arr);
        StringBuilder sb=new StringBuilder();
        for(int i=0;i<arr.size();i++)
            sb.append(arr.get(i));
        
        return sb.toString(); 
    } 
     
    boolean next_permutation(int[] p, int len) {
        int a = len - 2;
        while (a >= 0 && p[a] >= p[a + 1]) {
            a--;
        }

        if (a == -1) {
            return false;
        }

        int b = len - 1;
        while (p[b] <= p[a]) {
            b--;
        }

        p[a] += p[b];
        p[b] = p[a] - p[b];
        p[a] -= p[b];

        for (int i = a + 1, j = len - 1; i < j; i++, j--) {
            p[i] += p[j];
            p[j] = p[i] - p[j];
            p[i] -= p[j];
        }

        return true;
    }
    int lower_bound(ArrayList<Integer> arr,int key) {
        int len = arr.size();
        int lo = 0;
        int hi = len-1;
        int mid = (lo + hi)/2;
        while (true) {
            int cmp = (arr.get(mid)==key?1:0);
            if (cmp == 0 || cmp > 0) {
                hi = mid-1;
                if (hi < lo)
                    return mid;
            } else {
                lo = mid+1;
                if (hi < lo)
                    return mid<len-1?mid+1:-1;
            }
            mid = (lo + hi)/2;
        }
    }
    int upper_bound(ArrayList<Integer> arr, int key) {
        int len = arr.size();
        int lo = 0;
        int hi = len-1;
        int mid = (lo + hi)/2;
        while (true) {
            int cmp = (arr.get(mid)==key?1:0);
            if (cmp == 0 || cmp < 0) {
                lo = mid+1;
                if (hi < lo)
                    return mid<len-1?mid+1:-1;
            } else {
                hi = mid-1;
                if (hi < lo)
                    return mid;
            }
            mid = (lo + hi)/2;
        }
    }
    int gcd(int a,int b){
        return b==0?a:gcd(b,a%b);
    } 
    double area(ArrayList<Point> arr){
        double sum=0.0;
        for(int i=0;i<arr.size();i++){
            sum+=cross(arr.get(i),arr.get(((i+1)%(int)arr.size())));
        }
        return Math.abs(sum)/2.0;
    }
    double dot(Point p,Point q){
        return (p.x*q.x+p.y*q.y);
    }
    double cross(Point p,Point q){
        return (p.x*q.y-p.y*q.x);
    }
    Point computeLineIntersection(Point a,Point b,Point c,Point d){
        b=b.sub(a);d=c.sub(d);c=c.sub(a);
        return a.add(b.mulCon(cross(c,d)).devideCon(cross(b,d)));
    }
   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; 
        } 
    } 
  
}
class Reader {

    static BufferedReader reader;
    static StringTokenizer tokenizer;

    static void init(InputStream input) throws UnsupportedEncodingException {
        reader = new BufferedReader(
                new InputStreamReader(input, "UTF-8"));
        tokenizer = new StringTokenizer("");
    }

    static void init(String url) throws FileNotFoundException {
        reader = new BufferedReader(new FileReader(url));
        tokenizer = new StringTokenizer("");
    }

    static String next() throws IOException {
        while (!tokenizer.hasMoreTokens()) {
            //TODO add check for eof if necessary
            tokenizer = new StringTokenizer(
                    reader.readLine());
        }
        return tokenizer.nextToken();
    }

    static String nextLine() throws IOException {
        return reader.readLine();
    }

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

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

    static long nextLong() throws IOException {
        return Long.parseLong(next());
    }
}
class Point{    
    double x,y;
    Point(double _x,double _y){
        x=_x;
        y=_y;
    }
    Point add(final Point p){
        return new Point(x+p.x,y+p.y);
    }
    Point sub(final Point p){
        return new Point(x-p.x,y-p.y);
    }
    Point mulCon(final double c){
        return new Point(c*x,c*y);
    }
    Point devideCon(final double c){
        return new Point(x/c,y/c);
    }
}
class  pair implements Comparator<pair>{
    int x,y;
    pair(){}
    pair(int a,int b){
        x=a;
        y=b;
    }
    @Override 
    public int compare(pair a,pair b){
        return a.x-b.x;
    }
}