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.ArrayList;
import java.util.Comparator;
import java.util.PriorityQueue;
import java.util.Scanner;

public class D12491TooManySegments {
    static public PriorityQueue<Integer>[] map = (PriorityQueue<Integer>[]) new PriorityQueue[201];        //point x is covered by masks in map[x]
    static public ArrayList<Mask> masks;
    static public int nmask;
    static public int maxCover;
    static public Comparator<Integer> comMask = new Comparator<Integer>() {
        @Override
        public int compare(Integer o1, Integer o2) {
            return masks.get(o2).r - masks.get(o1).r;
        }
    };

    public static void main(String[] args) {
        Scanner reader = new Scanner(System.in);
        nmask = reader.nextInt();
        maxCover = reader.nextInt();
        masks = new ArrayList<Mask>(nmask + 1);
        masks.add(new Mask(0, 0));      //Take place 0
        for ( int i = 0; i <= 200; i++) {
            map[i] = new PriorityQueue<>(1, comMask);
        }
        for (int i = 1; i <= nmask; i ++) {     // i:id of this mask
            int l = reader.nextInt();
            int r = reader.nextInt();
            masks.add(new Mask(l, r));
            for (l = l; l <= r; l++) {
                map[l].add(i);
            }
        }
        reader.close();
        ArrayList<Integer> removed = new ArrayList<>();
        for ( int i = 1; i <= 200; i++) {
            while (map[i].size() > maxCover){
                int maskid = map[i].poll();
                removed.add(maskid);
                Mask thisMask = masks.get(maskid);
                for ( int l = thisMask.l; l <= thisMask.r; l++) {
                    map[l].remove(maskid);
                }
            }
        }
        System.out.println(removed.size());
        for (int id : removed)
            System.out.print(id + " ");
    }

}
class Mask {
    int l;
    int r;
    public Mask(int l, int r) {
        this.l = l;
        this.r = r;
    }

    public int length() { return r - l + 1; }
}