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.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.io.IOException;
import java.util.Comparator;
import java.util.Collections;
import java.util.ArrayList;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        D1TooManySegmentsEasyVersion solver = new D1TooManySegmentsEasyVersion();
        solver.solve(1, in, out);
        out.close();
    }

    static class D1TooManySegmentsEasyVersion {
        int MAXN = 200005;
        PrintWriter out;
        InputReader in;
        final Comparator<Tuple> com1 = new Comparator<Tuple>() {
            public int compare(Tuple t1, Tuple t2) {
                if (t1.y != t2.y)
                    return Integer.compare(t2.y, t1.y);
                else
                    return Integer.compare(t1.id, t2.id);
            }
        };

        public void solve(int testNumber, InputReader in, PrintWriter out) {
            this.out = out;
            this.in = in;
            int n = ni();
            int m = ni();
            int[] hola = new int[201];
            int i = 0;
            int[][] segments = new int[n][2];
            int[] pf = new int[MAXN];
            Tuple[] segment = new Tuple[n];
            for (i = 0; i < n; i++) {
                segments[i][0] = ni();
                segments[i][1] = ni();
                pf[segments[i][0]]++;
                pf[segments[i][1] + 1]--;
                segment[i] = new Tuple(segments[i][0], segments[i][1], i);
            }
            for (i = 1; i < MAXN; i++)
                pf[i] += pf[i - 1];
            ArrayList<Integer> bad_points = new ArrayList<>();
            for (i = 0; i < MAXN; i++) {
                if (pf[i] > m)
                    bad_points.add(i);
            }
            boolean[] vis = new boolean[n];
            ArrayList<Integer> ans = new ArrayList<>();
            for (int x : bad_points) {
                ArrayList<Tuple> ar = new ArrayList<>();
                for (i = 0; i < n; i++) {
                    if (!vis[i])
                        if (segments[i][0] <= x && segments[i][1] >= x)
                            ar.add(new Tuple(segments[i][0], segments[i][1], i));
                }
                Collections.sort(ar, com1);
                int reqd = pf[x] - m;
                for (i = 0; i < reqd; i++) {
                    Tuple curr = ar.get(i);
                    for (int j = curr.x; j <= curr.y; j++)
                        pf[j]--;
                    vis[curr.id] = true;
                    ans.add(curr.id + 1);
                }
            }
            pn(ans.size());
            for (int x : ans)
                p(x + " ");

        }

        int ni() {
            return in.nextInt();
        }

        void pn(long zx) {
            out.println(zx);
        }

        void p(Object o) {
            out.print(o);
        }

        class Tuple {
            int x;
            int y;
            int id;

            Tuple(int a, int b, int ind) {
                x = a;
                y = b;
                id = ind;
            }

        }

    }

    static class InputReader {
        private InputStream stream;
        private byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;

        public InputReader(InputStream stream) {
            this.stream = stream;
        }

        public int read() {
            if (numChars == -1) {
                throw new UnknownError();
            }
            if (curChar >= numChars) {
                curChar = 0;
                try {
                    numChars = stream.read(buf);
                } catch (IOException e) {
                    throw new UnknownError();
                }
                if (numChars <= 0) {
                    return -1;
                }
            }
            return buf[curChar++];
        }

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

        public String next() {
            int c = read();
            while (isSpaceChar(c)) {
                c = read();
            }
            StringBuffer res = new StringBuffer();
            do {
                res.appendCodePoint(c);
                c = read();
            } while (!isSpaceChar(c));

            return res.toString();
        }

        private boolean isSpaceChar(int c) {
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }

    }
}