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.Linq;
using System.Collections.Generic;
using System.Numerics;

namespace B
{
    class Program
    {
        static void Main(string[] args)
        {
            var nm = Console.ReadLine().Split().Select(int.Parse).ToArray();

            var startPoint = new List<Vector2>();

            for (int i = 0; i < nm[0]; i++)
            {
                var ab = Console.ReadLine().Split().Select(int.Parse).ToArray();
                startPoint.Add(new Vector2(ab[0], ab[1]));
            }

            var destinationPoint = new List<Vector2>();

            for (int i = 0; i < nm[1]; i++)
            {
                var cd = Console.ReadLine().Split().Select(int.Parse).ToArray();
                destinationPoint.Add(new Vector2(cd[0], cd[1]));
            }

            foreach(var item in startPoint)
            {
                float dist = float.MaxValue;
                int nearestPointIndex =0;
                
                int index = 0;
                foreach(var dest in destinationPoint)
                {
                    var currentDist = ManhattanDist(item,dest);
                    
                    if(dist>currentDist)
                    {
                        dist = currentDist;
                        nearestPointIndex = index;
                    }
                    index++;
                }

                Console.WriteLine(nearestPointIndex+1);
            }



        }


        static float ManhattanDist(Vector2 a, Vector2 b)
        {
            return (Math.Abs(a.X - b.X) + Math.Abs(a.Y - b.Y));
        }
    }
}