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 C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using static System.Console;
using System.Linq;

namespace ConsoleApp2
{
    struct Point { public int x, y; };
    class Program {
        static int Manh(Point x,Point y) {
            return Math.Abs(x.x - y.x) + Math.Abs(x.y - y.y);
        }

        static void Main(string[] Args) {
            var l = new List<string>(ReadLine().Split(' ')).Select(int.Parse).ToList();


            var StudentPoint = new List<Point>();
            List<int> tmp;
            for (int i = 0; i < l[0]; i++) {
                tmp = new List<string>(ReadLine().Split(' ')).Select(int.Parse).ToList();
                StudentPoint.Add(new Point { x = tmp[0], y = tmp[1] });
            }
            var CheckPoint = new List<Point>();
            for (int i = 0; i < l[1]; i++) {
                tmp = new List<string>(ReadLine().Split(' ')).Select(int.Parse).ToList();
                CheckPoint.Add(new Point { x = tmp[0], y = tmp[1] });
            }

            List<int> Ans = new List<int>();
            List<int> dist;
            for(int i = 0;i < l[0]; i++) {
                dist = new List<int>();
                for (int j = 0; j < l[1]; j++) {
                    dist.Add(Manh(StudentPoint[i], CheckPoint[j]));
                }
                Ans.Add(dist.IndexOf(dist.Min()));
            }

            foreach (var e in Ans)
                WriteLine(e + 1);

            ReadLine();
        }
    }
}