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.*; 
import java.util.*; 
  
public class Too_Many_Segments 
{ 
    static class FastReader 
    { 
        BufferedReader br; 
        StringTokenizer st; 
  
        public FastReader() 
        { 
            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()); 
        } 
  
        String nextLine() 
        { 
            String str = ""; 
            try
            { 
                str = br.readLine(); 
            } 
            catch (IOException e) 
            { 
                e.printStackTrace(); 
            } 
            return str; 
        } 
    } 
    public static long gcd(long x,long y)
    {
        
        if(y==0)
            return x;
        return gcd(y,x%y);
    }
    public static void main(String[] args) 
    { 
        FastReader sc=new FastReader(); 
        //TreeMap<Integer,Integer> mp=new TreeMap<>();
        
        int n=sc.nextInt(),k=sc.nextInt();

        int[] left,right,diff,fre;

        fre=new int[201];

        left=new int[n];
        right=new int[n];
        diff=new int[n];

        boolean[] b=new boolean[n];
        for(int i=0;i<n;i++)
        {
            left[i]=sc.nextInt();
            right[i]=sc.nextInt();
            diff[i]=right[i]-left[i]+1;
            for(int j=left[i];j<=right[i];j++)
            {
                fre[j]++;
            }
        }
        //System.out.println();
        
        int sub,index=0,ans=0;
        
        LinkedList<Integer> list=new LinkedList<>();
        for(int i=200;i>=0;i--)
        {
            while(fre[i]>k)
            {

                    sub=-1;
                    //System.out.println(i);
                    for(int j=0;j<n;j++)
                    {
                        if(b[j]==false&&i>=left[j]&&i<=right[j])
                        {
                            if(sub<(diff[j])-(right[j]-i))
                            {
                                sub=(diff[j])-(right[j]-i);
                                index=j;
                            }    
                                
                        }
                    }
                    b[index]=true;
                    list.add(index+1);
                    for(int j=left[index];j<=right[index];j++)
                    {
                        fre[j]--;
                    }
                
            }
        }

        System.out.println(list.size());
        while(!list.isEmpty())
        {
            System.out.print(list.remove()+" ");
        }
        
        /*System.out.println();

        for(int i=0;i<12;i++)
            System.out.print(fre[i]+" ");*/
        
    } 
}