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 com = 0;
        int ans = 0;
        int cunt = 1; /*何人目かを示す*/

        /*座標を入力する配列の確保*/
        int[] pointN = new int[N*2];
        int[] pointM = new int[M*2];

        /*座標の入力*/
        for(int i=0; i<N*2; i++){
            pointN[i] = sc.nextInt();
        }

        /*座標の入力*/
        for(int y=0; y<M*2; y++){
            pointM[y] = sc.nextInt();
        }

        for(int a=0; a<N*2; a++){
            for(int b=0; b<M*2; b++){
                com = Math.abs((pointN[a])-(pointM[b]))+Math.abs((pointN[a+1])-(pointM[b+1]));
                if(b==0){
                    ans = com;
                }
                if(com < ans){
                    ans = com;
                    cunt = b/2+1;
                }
                b++;
            }
            System.out.println(cunt);
            a++;
            cunt = 1;
        }
    }
}