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.util.*;
import java.io.*;

public class File {
    public static class FastScanner {
        BufferedReader br;
        StringTokenizer st;

        public FastScanner() {
            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());
        }
    }
	
    public static void main(String[] args) {
        FastScanner sc = new FastScanner();
        PrintWriter out = new PrintWriter(new BufferedOutputStream(System.out));
		
		
		
		
		int n = sc.nextInt();
		int k = sc.nextInt();
		
		int[] overlaps = new int[202];
		
		List<int[]> segments = new ArrayList<int[]>();
		
		for (int i = 0; i < n; i++) {
			int L = sc.nextInt();
			int R = sc.nextInt();
			
			overlaps[L]++;
			overlaps[R+1]--;
			
			segments.add(new int[]{L, R});
		}
		
		// 28 29 30
		//  1  3  4
		
		
		int running = 0;
		for (int i = 1; i <= 200; i++) {
			running += overlaps[i];
			overlaps[i] = running;
		}
		
		// Mark segments as taken or not.
		boolean[] taken = new boolean[n];
		
		List<Integer> removed = new ArrayList<Integer>();
		
		// For each index with overlap > k, 
		// remove the index of a segment that overlaps this, and has the rightmost end index.
		for (int i = 1; i <= 200; i++) {
			while (overlaps[i] > k) {
				int segmentIndex = -1;
				
				for (int s = 0; s < n; s++) {
					if (taken[s]) continue;
					
					int[] segment = segments.get(s);
					
					if (segment[0] <= i & i <= segment[1]) {
						if (segmentIndex == -1) {
							segmentIndex = s;
						}
						else if (segment[1] > segments.get(segmentIndex)[1]) {
							segmentIndex = s;
						}
					}
				}
				
				taken[segmentIndex] = true;
				removed.add(segmentIndex);
				
				int[] segment = segments.get(segmentIndex);
				
				for (int index = segment[0]; index <= segment[1]; index++) {
					overlaps[index]--;
				}
			}
		}
		
		
		
		out.println(removed.size());
		for (int index : removed) {
			out.print((index + 1) + " " );
		}
		
		
		
		out.close();
	}
}