Problem:
Score: 200 points

Problem Statement

A country decides to build a palace.

In this country, the average temperature of a point at an elevation of x meters is T-x \times 0.006 degrees Celsius.

There are N places proposed for the place. The elevation of Place i is H_i meters.

Among them, Princess Joisino orders you to select the place whose average temperature is the closest to A degrees Celsius, and build the palace there.

Print the index of the place where the palace should be built.

It is guaranteed that the solution is unique.

Constraints

1 \leq N \leq 1000

0 \leq T \leq 50

-60 \leq A \leq T

0 \leq H_i \leq 10^5

All values in input are integers.

The solution is unique.

Input

Input is given from Standard Input in the following format:

N
T A
H_1 H_2 ... H_N

Output

Print the index of the place where the palace should be built.

Sample Input 1

2
12 5
1000 2000

Sample Output 1

1

The average temperature of Place 1 is 12-1000 \times 0.006=6 degrees Celsius.

The average temperature of Place 2 is 12-2000 \times 0.006=0 degrees Celsius.

Thus, the palace should be built at Place 1.

Sample Input 2

3
21 -11
81234 94124 52141

Sample Output 2

3

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

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

public class Program
{
    public void Proc()
    {
        int inputCount = int.Parse(Reader.ReadLine());

        decimal[] inpt = Reader.ReadLine().Split(' ').Select(a => decimal.Parse(a)).ToArray();

        decimal T = inpt[0];
        decimal A = inpt[1];

        inpt = Reader.ReadLine().Split(' ').Select(a => T - (decimal.Parse(a) * 0.006m)).Select(a => Math.Abs(a - A)).ToArray();

        decimal target = inpt.Min();

        int ans = inpt.ToList().FindIndex(a => a == target) + 1;

        Console.WriteLine(ans);
    
    
    }


    private int[] ScanInt() {
        return Reader.ReadLine().Split(' ').Select(a => int.Parse(a)).ToArray();
    }

    private long[] ScanLong() {
        return Reader.ReadLine().Split(' ').Select(a => long.Parse(a)).ToArray();
    }

    private string[] ScanStr() {
        return Reader.ReadLine().Split(' ').ToArray();
    }

    public class Reader
    {
        static StringReader sr;
        public static bool IsDebug = false;
        public static string ReadLine()
        {
            if (IsDebug)
            {
                if (sr == null)
                {
                    sr = new StringReader(InputText.Trim());
                }
                return sr.ReadLine();
            }
            else
            {
                return Console.ReadLine();
            }
        }
        private static string InputText = @"




3
21 -11
81234 94124 52141


";
    }

    public static void Main(string[] args)
    {
#if DEBUG
        Reader.IsDebug = true;
#endif
        Program prg = new Program();
        prg.Proc();
    }
}