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 Main {
	static long mod = 1000000007;
	static int INF = Integer.MAX_VALUE;
 	public static void main(String[] args){
		FastScanner scanner = new FastScanner();
		int n = scanner.nextInt();
		int m = scanner.nextInt();
		int[] l = new int[n];
		int[] r = new int[n];
		Segment[] seg = new Segment[n];
		for(int i = 0; i < n; i++){
			l[i] = scanner.nextInt()-1;
			r[i] = scanner.nextInt()-1;
			seg[i] = new Segment(i+1,l[i],r[i]);
		}
		Arrays.sort(seg, new Comparator<Segment>() {
			public int compare(Segment b1, Segment b2) {
				return -(b1.left-b2.left);
			}
		});
		//for(int i = 0; i < n; i++){
			//System.out.println(seg[i].idx + " " + seg[i].left + " " + seg[i].right);
		//}
		int[] imos = new int[200010];
		for(int i = 0; i < n; i++){
			imos[l[i]]++;
			imos[r[i]+1]--;
		}
		for(int i = 0; i < 200009; i++){
			imos[i+1] += imos[i];
		}
		ArrayList<Integer> s = new ArrayList<Integer>();
		boolean[] used = new boolean[n];
		for(int i = 200005; i >= 0; i--){
			while(imos[i] > m){
				int pos = -1;
				for(int j = n-1; j >= 0; j--){
					int ls = seg[j].left; int rs = seg[j].right;
					if(!used[j] && ls <= i && rs >= i && pos == -1){
						pos = j;
						used[pos] = true;
						break;
					}
				}
				if(pos == -1) break;
				for(int k = seg[pos].left; k <= seg[pos].right; k++){
					imos[k]--;
				}

				s.add(seg[pos].idx);
			}
		}
		int cnt = 0;
		for(int i = 0; i < n; i++){
			if(used[i]) cnt++;
		}
		System.out.println(cnt);
		for(int i = 0; i < s.size(); i++){
			System.out.println(s.get(i));
		}
	}

	static class Segment{
		int idx;
		int left; int right;
		Segment(int idx, int left, int right){
			this.idx = idx;
			this.left = left;
			this.right = right;
		}
	}
	public static class Edge{
		int to;
		Edge(int to){
			this.to = to;
		}
	}
	static class BIT{
		int n;
		int[] bit;
		public BIT(int n){
			this.n = n;
			bit = new int[n+1];
		}
		void add(int idx, int val){
			for(int i = idx+1; i <= n; i += i&(-i)) bit[i-1] += val;
		}
		int sum(int idx){
			int res = 0;
			for(int i = idx+1; i > 0; i -= i&(-i)) res += bit[i-1];
			return res;
		}
		int sum(int begin, int end){
			if(begin == 0) return sum(end);
			return sum(end)-sum(begin-1);
		}
	}
	static class Pair implements Comparable<Pair>{
    int first, second;
    Pair(int a, int b){
        first = a;
        second = b;
    }
    @Override
    public boolean equals(Object o){
        if (this == o) return true;
        if (!(o instanceof Pair)) return false;
        Pair p = (Pair) o;
        return first == p.first && second == p.second;
    }
    @Override
    public int compareTo(Pair p){
        //return first == p.first ? second - p.second : first - p.first; //firstで昇順にソート
        //return (first == p.first ? second - p.second : first - p.first) * -1; //firstで降順にソート
        //return second == p.second ? first - p.first : second - p.second;//secondで昇順にソート
        return (second == p.second ? first - p.first : second - p.second)*-1;//secondで降順にソート
		    //return first * 1.0 / second > p.first * 1.0 / p.second ? 1 : -1; // first/secondの昇順にソート
		    //return first * 1.0 / second < p.first * 1.0 / p.second ? 1 : -1; // first/secondの降順にソート
				//return second * 1.0 / first > p.second * 1.0 / p.first ? 1 : -1; // second/firstの昇順にソート
		    //return second * 1.0 / first < p.second * 1.0 / p.first ? 1 : -1; // second/firstの降順にソート
				//return Math.atan2(second, first) > Math.atan2(p.second, p.first) ? 1 : -1; // second/firstの昇順にソート
				//return first + second > p.first + p.second ? 1 : -1; //first+secondの昇順にソート
				//return first + second < p.first + p.second ? 1 : -1; //first+secondの降順にソート
				//return first - second < p.first - p.second ? 1 : -1; //first-secondの降順にソート
				//return Math.atan2(second,first) > Math.atan2(p.second, p.first) ? 1 : -1;
		}
  }

	private static class FastScanner {
		private final InputStream in = System.in;
		private final byte[] buffer = new byte[1024];
		private int ptr = 0;
		private int buflen = 0;
		private boolean hasNextByte() {
				if (ptr < buflen) {
						return true;
				}else{
						ptr = 0;
						try {
								buflen = in.read(buffer);
						} catch (IOException e) {
								e.printStackTrace();
						}
						if (buflen <= 0) {
								return false;
						}
				}
				return true;
		}
		private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;}
		private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;}
		public boolean hasNext() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++; return hasNextByte();}
		public String next() {
				if (!hasNext()) throw new NoSuchElementException();
				StringBuilder sb = new StringBuilder();
				int b = readByte();
				while(isPrintableChar(b)) {
						sb.appendCodePoint(b);
						b = readByte();
				}
				return sb.toString();
		}
		public long nextLong() {
				if (!hasNext()) throw new NoSuchElementException();
				long n = 0;
				boolean minus = false;
				int b = readByte();
				if (b == '-') {
						minus = true;
						b = readByte();
				}
				if (b < '0' || '9' < b) {
						throw new NumberFormatException();
				}
				while(true){
						if ('0' <= b && b <= '9') {
								n *= 10;
								n += b - '0';
						}else if(b == -1 || !isPrintableChar(b)){
								return minus ? -n : n;
						}else{
								throw new NumberFormatException();
						}
						b = readByte();
				}
		}
		public int nextInt() {
				long nl = nextLong();
				if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) throw new NumberFormatException();
				return (int) nl;
		}
		public double nextDouble() { return Double.parseDouble(next());}
	}
}