There are N students and M checkpoints on the xy-plane.
The coordinates of the i-th student (1 \leq i \leq N) is (a_i,b_i), and the coordinates of the checkpoint numbered j (1 \leq j \leq M) is (c_j,d_j).
When the teacher gives a signal, each student has to go to the nearest checkpoint measured in Manhattan distance.
The Manhattan distance between two points (x_1,y_1) and (x_2,y_2) is |x_1-x_2|+|y_1-y_2|.
Here, |x| denotes the absolute value of x.
If there are multiple nearest checkpoints for a student, he/she will select the checkpoint with the smallest index.
Which checkpoint will each student go to?

Constraints

* 1 \leq N,M \leq 50
* -10^8 \leq a_i,b_i,c_j,d_j \leq 10^8
* All input values are integers.

Input

The input is given from Standard Input in the following format:


N M
a_1 b_1
:
a_N b_N
c_1 d_1
:
c_M d_M


Output

Print N lines.
The i-th line (1 \leq i \leq N) should contain the index of the checkpoint for the i-th student to go.

Examples

Input

2 2
2 0
0 0
-1 0
1 0


Output

2
1


Input

3 4
10 10
-10 -10
3 3
1 2
2 3
3 5
3 5


Output

3
1
2


Input

5 5
-100000000 -100000000
-100000000 100000000
100000000 -100000000
100000000 100000000
0 0
0 0
100000000 100000000
100000000 -100000000
-100000000 100000000
-100000000 -100000000


Output

5
4
3
2
1
import java.util.*;
public class Main{
 public static void main(String[] args){
   Scanner sc = new Scanner(System.in);
   int N = sc.nextInt();
   int M = sc.nextInt();
   int[] a= new int[N];
   int[] b= new int[N];
   for(int i=0;i<N;i++)
   {
     a[i]=sc.nextInt();
     b[i]=sc.nextInt();
   }
   int[] x= new int[M];
   int[] y= new int[M];
   for(int i=0;i<M;i++)
   {
     x[i]=sc.nextInt();
     y[i]=sc.nextInt();
   }
   int anstmp=1;
   int tmp;
   for(int i = 0;i<N;i++)
   {
     anstmp=1;
     tmp = Math.abs(a[i]-x[0])+Math.abs(b[i]-y[0]);
     for(int k = 1;k<M;k++)
     {
       if(tmp>Math.abs(a[i]-x[k])+Math.abs(b[i]-y[k])) 
       {
         tmp = Math.abs(a[i]-x[k])+Math.abs(b[i]-y[k]);
         anstmp = k+1;
       }
     }
   System.out.println(anstmp);     
   }
 }
}