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: Wrong Answer)

using System;
using System.Collections.Generic;
using System.Globalization;
using System.IO;
using System.Linq;
using System.Text;

namespace AtCoder
{
    internal class Program
    {
        static void Main(string[] args)
        {
            var sr = new InputReader(Console.In);
            //var sr = new InputReader(new StreamReader(new MemoryStream(Encoding.Unicode.GetBytes("input.txt"))));
            using (var sw = Console.Out)
            //using (var sw = new StreamWriter("output.txt"))
            {
                Solve(sr, sw);
            }

        }


        internal static void Solve(InputReader sr, TextWriter sw)
        {
            var param = sr.NextSplitLongs();
            var studentCount = param[0];
            var checkPointCount = param[1];

            var studentPoints = new List<Tuple<int, int>>();
            var checkPoints = new List<Tuple<int, int>>();

            //学生の座標を取得
            for (var i = 0; i < studentCount; ++i)
            {
                var position = sr.NextSplitInts();
                studentPoints.Add(Tuple.Create(position[0], position[1]));
            }

            //チェックポイントの座標を取得
            for (var i = 0; i < checkPointCount; ++i)
            {
                var position = sr.NextSplitInts();
                checkPoints.Add(Tuple.Create(position[0], position[1]));
            }

            //マンハッタン座標の出力
            for (var i = 0; i < studentCount; ++i)
            {
                var stdudentXPos = studentPoints[i].Item1;
                var stdudentYPos = studentPoints[i].Item2;
                var ans = int.MaxValue;

                for (var j = 0; j < checkPointCount; ++j)
                {
                    var checkXPos = checkPoints[j].Item1;
                    var checkYPos = checkPoints[j].Item2;
                    var manhattan = Math.Abs(stdudentXPos - checkXPos)
                                  + Math.Abs(stdudentYPos - checkYPos);
                    if (manhattan < ans)
                    {
                        ans = j + 1;
                    }
                }
                sw.WriteLine(ans);
            }

        }

        internal class InputReader : IDisposable
        {
            private bool isDispose;
            private readonly TextReader sr;

            public InputReader(TextReader stream)
            {
                sr = stream;
            }

            public void Dispose()
            {
                //Dispose(true);
                GC.SuppressFinalize(this);
            }

            public string NextString()
            {
                var result = sr.ReadLine();
                return result;
            }

            public int NextInt32()
            {
                return int.Parse(NextString());
            }

            public long NextInt64()
            {
                return long.Parse(NextString());
            }

            public string[] NextSplitStrings()
            {
                return NextString()
                    .Split(new[] { ' ' }, StringSplitOptions.RemoveEmptyEntries);
            }

            public int[] NextSplitInts()
            {
                return NextString()
                    .Split(new[] { ' ' }, StringSplitOptions.RemoveEmptyEntries)
                    .Select(int.Parse).ToArray();
            }
            public long[] NextSplitLongs()
            {
                return NextString()
                    .Split(new[] { ' ' }, StringSplitOptions.RemoveEmptyEntries)
                    .Select(long.Parse).ToArray();
            }

            public T[] ReadArray<T>(Func<string, CultureInfo, T> func)
            {
                return NextSplitStrings()
                    .Select(s => func(s, CultureInfo.InvariantCulture))
                    .ToArray();
            }

            public T[] ReadArrayFromString<T>(Func<string, CultureInfo, T> func, string str)
            {
                return str.Split(new[] { ' ' }, StringSplitOptions.RemoveEmptyEntries)
                    .Select(s => func(s, CultureInfo.InvariantCulture))
                    .ToArray();
            }

            //protected void Dispose(bool dispose)
            //{
            //    if (isDispose) return;
            //    if (dispose)
            //    {
            //        sr.Close();
            //    }
            //    isDispose = true;
            //}

            //~InputReader()
            //{
            //    Dispose(false);
            //}
        }
    }
}