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.util.Arrays;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.TreeSet;
import java.util.ArrayList;
import java.util.Objects;
import java.util.List;
import java.util.StringTokenizer;
import java.io.BufferedReader;
import java.util.Comparator;
import java.util.Collections;
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);
    D2TooManySegmentsHardVersion solver = new D2TooManySegmentsHardVersion();
    solver.solve(1, in, out);
    out.close();
  }

  static class D2TooManySegmentsHardVersion {
    public void solve(int testNumber, InputReader in, PrintWriter out) {
      int n = in.nextInt();
      int k = in.nextInt();
      Segment[] segments = new Segment[n];
      for (int i = 0; i < n; ++i) {
        segments[i] = new Segment(i + 1, in.nextInt(), in.nextInt());
      }
      Arrays.sort(segments, (s1, s2) -> {
        int c = Integer.compare(s1.left, s2.left);
        if (c == 0)
          return Integer.compare(s2.right, s1.right);

        return c;
      });

      TreeSet<Segment> s = new TreeSet<>(Comparator.comparingInt((Segment s3) -> s3.right).thenComparingInt(s3 -> s3.id));
      List<Integer> ans = new ArrayList<>();
      for (Segment seg : segments) {
        s.add(seg);
        while (s.first().right < seg.left) {
          s.pollFirst();
        }

        while (s.size() > k) {
          ans.add(s.pollLast().id);
        }
      }
      Collections.sort(ans);
      out.println(ans.size());
      for (int i : ans) {
        out.print(i + " ");
      }
    }

  }

  static class Segment {
    public int id;
    public int left;
    public int right;

    public Segment(int id, int left, int right) {
      this.id = id;
      this.left = left;
      this.right = right;
    }

    public Segment(int left, int right) {
      this.id = -1;
      this.left = left;
      this.right = right;
    }

    public boolean equals(Object o) {
      if (this == o) return true;
      if (o == null || getClass() != o.getClass()) return false;
      Segment segment = (Segment) o;
      return id == segment.id &&
        left == segment.left &&
        right == segment.right;
    }

    public int hashCode() {
      return Objects.hash(id, left, right);
    }

    public String toString() {
      return "Segment{" +
        "id=" + id +
        ", left=" + left +
        ", right=" + right +
        '}';
    }

  }

  static class InputReader {
    public BufferedReader reader;
    public StringTokenizer tokenizer;

    public InputReader(InputStream stream) {
      reader = new BufferedReader(new InputStreamReader(stream), 32768);
      tokenizer = null;
    }

    public String next() {
      while (tokenizer == null || !tokenizer.hasMoreTokens()) {
        try {
          tokenizer = new StringTokenizer(reader.readLine());
        } catch (IOException e) {
          throw new RuntimeException(e);
        }
      }
      return tokenizer.nextToken();
    }

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

  }
}