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.Scanner;

/**
 * https://abc057.contest.atcoder.jp/tasks/abc057_b
 */
public class Main {

	public static void main(String[] args) {
		
		Scanner sc = new Scanner(System.in);
		int N = Integer.parseInt(sc.next());
		int M = Integer.parseInt(sc.next());
		Point[] s = new Point[N];
		Point[] p = new Point[M];
		for(int i=0; i<N; i++) s[i] = new Point(Integer.parseInt(sc.next()), Integer.parseInt(sc.next()));
		for(int i=0; i<M; i++) p[i] = new Point(Integer.parseInt(sc.next()), Integer.parseInt(sc.next()));
		sc.close();
		
		int[] ans = new int[N];
		for(int i=0; i<N; i++){
			long min = Long.MAX_VALUE;
			for(int j=0; j<M; j++){
				long d = Math.abs(s[i].x-p[j].x)+Math.abs(s[i].y-p[j].y);
				if(min>d){
					min = d;
					ans[i] = j+1;
				}
			}
		}
		
		for(int a:ans) System.out.println(a);
		

	}
	
	static class Point{
		int x;
		int y;
		Point(int x, int y){
			this.x = x;
			this.y = y;
		}
	}

}