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: Wrong Answer)

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.nio.charset.StandardCharsets;
import java.util.*;

public class Main {

    int[] inputArray;
    Set<String> set = new HashSet<>();
    int K;

    public static void main(String[] args) throws IOException {
        new Main().run();
    }

    void run() {
        Scanner sc = new Scanner(System.in);
        int N = sc.nextInt();
        int M = sc.nextInt();

        List<Ten> ppl = new ArrayList<>();
        List<Ten> check = new ArrayList<>();
        int[] ans = new int[N];

        for(int i=0; i<N; i++){
            Ten point = new Ten(sc.nextInt(), sc.nextInt());
            ppl.add(point);
        }

        for(int i=0; i<M; i++){
            Ten point2 = new Ten(sc.nextInt(), sc.nextInt());
            check.add(point2);
        }

        for(int i=0; i<N; i++){
            double movePoint = Math.pow(10, 8);
            int answer = -1;
            for(int j=0; j<M; j++){
                double tmp = manhattan(ppl.get(i), check.get(j));
                if(tmp < movePoint){
                    movePoint = tmp;
                    answer = j+1;
                }
            }
            ans[i] = answer;
        }

        for(int i: ans){
            System.out.println(i);
        }
    }

    double manhattan(Ten point1, Ten point2){
        return Math.abs(point1.getX() - point2.getX()) + Math.abs(point1.getY() - point2.getY());
    }

    void substring(String s, int num){
        for(int i=1; i<=num; i++){
            if(i > K){
                break;
            }
            for(int j=0; j<num; j++){
                if(j + i-1 < num){
//                    System.out.println(s.substring(j, j+i));
                    set.add(s.substring(j, j+i));
                } else {
                    break;
                }
            }
        }
    }

    void permutation(String s, String ans){
        if(s.length() <= 1){
            System.out.println(ans + s);
        } else {
            for(int i=0; i<s.length(); i++){
                permutation(s.substring(0, i) + s.substring(i + 1), ans + s.charAt(i));
            }
        }
    }
}

class Ten{
    private int x;
    private int y;

    Ten(int x, int y){
        this.x = x;
        this.y = y;
    }

    public int getX() {
        return x;
    }

    public void setX(int x) {
        this.x = x;
    }

    public int getY() {
        return y;
    }

    public void setY(int y) {
        this.y = y;
    }
}