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 System.Linq;

namespace AtCoder
{
    class Program
    {
        static void Main(string[] args)
        {
            string[] input = Console.ReadLine().Split(' ');
            int N = int.Parse(input[0]);
            int M = int.Parse(input[1]);

            int[] student_x = new int[N];
            int[] student_y = new int[N];

            for (int i = 0; i < N; i++)
            {
                string[] ab = Console.ReadLine().Split(' ');
                student_x[i] = int.Parse(ab[0]);
                student_y[i] = int.Parse(ab[1]);
            }

            int[] point_x = new int[M];
            int[] point_y = new int[M];

            for(int i = 0; i < M; i++)
            {
                string[] cd = Console.ReadLine().Split(' ');
                point_x[i] = int.Parse(cd[0]);
                point_y[i] = int.Parse(cd[1]);
            }

            string ans = null;

            for (int i = 0; i < N; i++)
            {
                int min_index = int.MaxValue;
                int min_root = int.MaxValue;
                int from_x = student_x[i];
                int from_y = student_y[i];

                for (int j = 0; j < M; j++)
                {
                    int to_x = point_x[j];
                    int to_y = point_y[j];
                    if(Math.Abs(from_x - to_x)+ Math.Abs(from_y - to_y) < min_root)
                    {
                        min_index = j;
                        min_root = Math.Abs(from_x - to_x) + Math.Abs(from_y - to_y);
                    }
                }

                ans += (min_index+1).ToString() + "\n";
            }

            Console.WriteLine(ans);
        }
    }
}