Problem: The only difference between easy and hard versions is constraints.

You are given n segments on the coordinate axis OX. Segments can intersect, lie inside each other and even coincide. The i-th segment is [l_i; r_i] (l_i ≤ r_i) and it covers all integer points j such that l_i ≤ j ≤ r_i.

The integer point is called bad if it is covered by strictly more than k segments.

Your task is to remove the minimum number of segments so that there are no bad points at all.

Input

The first line of the input contains two integers n and k (1 ≤ k ≤ n ≤ 200) — the number of segments and the maximum number of segments by which each integer point can be covered.

The next n lines contain segments. The i-th line contains two integers l_i and r_i (1 ≤ l_i ≤ r_i ≤ 200) — the endpoints of the i-th segment.

Output

In the first line print one integer m (0 ≤ m ≤ n) — the minimum number of segments you need to remove so that there are no bad points.

In the second line print m distinct integers p_1, p_2, ..., p_m (1 ≤ p_i ≤ n) — indices of segments you remove in any order. If there are multiple answers, you can print any of them.

Examples

Input


7 2
11 11
9 11
7 8
8 9
7 8
9 11
7 9


Output


3
1 4 7 


Input


5 1
29 30
30 30
29 29
28 30
30 30


Output


3
1 2 4 


Input


6 1
2 3
3 3
2 3
2 2
2 3
2 3


Output


4
1 3 5 6 

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;

public class D {
    static PrintWriter out = new PrintWriter(new BufferedOutputStream(System.out));
    static MyScanner sc;

    static {
        try {
            sc = new MyScanner();
        } catch (FileNotFoundException e) {
            e.printStackTrace();
        }
    }

    public static void main(String[] args) {
        doTask();
        out.flush();
    }

    static class Segment implements Comparable<Segment> {
        public Segment(int l, int r, int index) {
            this.l = l;
            this.r = r;
            this.index = index;
            this.delete = false;
        }
        int l,r;
        int index;
        boolean delete;

        private int len() {
            return r-l;
        }

        @Override
        public int compareTo(Segment o) {
            return o.r-r;
        }

        @Override
        public String toString() {
            return "l="+l+", r="+r;
        }
    }

    public static void doTask(){
        int n = sc.nextInt();
        int k = sc.nextInt();

        int[] filled = new int[201];
        Map<Integer, List<Segment>> filledSegments = new HashMap<>();

        Segment[] segments = new Segment[n];
        for (int i=1; i<=200; i++) {
            filledSegments.put(i, new ArrayList<>());
        }

        for (int i=0; i<n; i++) {
            segments[i] = new Segment(sc.nextInt(), sc.nextInt(), i+1);
            for (int f = segments[i].l; f<=segments[i].r; f++) {
                filled[f]++;
                filledSegments.get(f).add(segments[i]);
            }
        }

        for (int i=1; i<=200; i++) {
            Collections.sort(filledSegments.get(i));
        }

        int count = 0;
        for (int i=0; i<=200; i++) {
            if (filled[i]>k) {
                for (Segment s : filledSegments.get(i)) {
                    if (!s.delete) {
                        count++;
                        for (int f = s.l; f <= s.r; f++) {
                            filled[f]--;
                        }
                        s.delete = true;
                    }
                    if (filled[i] <= k) break;
                }
            }
        }

        out.println(count);
        for (int i=0; i<n; i++) {
            if (segments[i].delete) {
                out.print(segments[i].index + " ");
            }
        }


    }

    public static class MyScanner {
        BufferedReader br;
        StringTokenizer st;

        public MyScanner() throws FileNotFoundException {
            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;
        }

    }
}