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;

class Program
{
    private static readonly Scanner sc = new Scanner();
    private const int INF = 1010101010;
    static void Main(string[] args)
    {
        int n = sc.Int;
        int m = sc.Int;
        int[] an = new int[n];
        int[] bn = new int[n];
        int[] cn = new int[m];
        int[] dn = new int[m];
        for (int i = 0; i < n; i++)
        {
            an[i] = sc.Int;
            bn[i] = sc.Int;
        }

        for (int i = 0; i < m; i++)
        {
            cn[i] = sc.Int;
            dn[i] = sc.Int;
        }

        for (int i = 0; i < n; i++)
        {
            int minj = 0;
            int mind = INF;
            for (int j = 0; j < m; j++)
            {
                int d = Math.Abs(cn[j] - an[i]) + Math.Abs(dn[j] - bn[i]);
                if (d < mind)
                {
                    minj = j;
                    mind = d;
                }
            }

            Console.WriteLine(minj+1);
        }
    }
}

class Scanner
{
    private string[] _str = new string[0];
    private int _i;

    public string Str
    {
        get
        {
            if (_i >= _str.Length)
            {
                _str = Console.ReadLine().Split(' ');
                _i = 0;
            }
            return _str[_i++];
        }
    }

    public int Int { get { return int.Parse(Str); } }
    public long Long { get { return long.Parse(Str); } }
    public double Double { get { return double.Parse(Str); } }
}