Problem:
Score : 200 points

Problem Statement

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.

Sample Input 1

2 2
2 0
0 0
-1 0
1 0

Sample Output 1

2
1

The Manhattan distance between the first student and each checkpoint is:

For checkpoint 1: |2-(-1)|+|0-0|=3

For checkpoint 2: |2-1|+|0-0|=1

The nearest checkpoint is checkpoint 2. Thus, the first line in the output should contain 2.

The Manhattan distance between the second student and each checkpoint is:

For checkpoint 1: |0-(-1)|+|0-0|=1

For checkpoint 2: |0-1|+|0-0|=1

When there are multiple nearest checkpoints, the student will go to the checkpoint with the smallest index. Thus, the second line in the output should contain 1.

Sample Input 2

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

Sample Output 2

3
1
2

There can be multiple checkpoints at the same coordinates.

Sample Input 3

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

Sample Output 3

5
4
3
2
1

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.util.Scanner;

	public class Main {

		public static void main(String[] args) {

			Scanner sc = new Scanner(System.in);
			
			int n = sc.nextInt();
			int m = sc.nextInt();
			
			long[] a = new long[n];
			long[] b = new long[n];
			long[] c = new long[m];
			long[] d = new long[m];
			
			long[] ret = new long[n];
			
			for(int i=0;i<n;i++) {
				a[i] = sc.nextLong();
				b[i] = sc.nextLong();
			}
			
			for(int i=0;i<m;i++) {
				c[i] = sc.nextLong();
				d[i] = sc.nextLong();
			}
			
			long dis = 0;
			long reti = 0;
			long man = 0;
			
			for(int i=0;i<n;i++) {
				 dis = 0;
				 reti = 0;
				
				 for(int j=0;j<m;j++) {
					if(j==0) {
						dis = (Math.abs((a[i]-c[j])))+(Math.abs((b[i]-d[j])));
					}else {
						man = (Math.abs((a[i]-c[j])))+(Math.abs((b[i]-d[j])));
						if(man<dis) {
							reti=j;
						}
						dis = Math.min(dis, man);
					}
				}
				
				ret[i]=reti+1;
			}
			
			for(int i=0;i<n;i++) {
				System.out.println(ret[i]);
			}
		}	
	}