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: Wrong Answer)

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

public class Cell
{
    public int X { get; set; }
    public int Y { get; set; }
    public string CellType { get; set; }
    public int Step { get; set; }

    public static Cell[] GetCells(char[] row, int y)
    {
        var cells = Enumerable.Range(0, row.Length).Select(x => new Cell
        {
            X = x + 1,
            Y = y,
            CellType = Convert.ToString(row[x]),
            Step = -1,
        });
        return cells.ToArray();
    }

}


class Program
{
    public static long Read()
    {
        return long.Parse(Console.ReadLine());
    }

    public static long[] Reads()
    {
        return Console.ReadLine().Split().Select(long.Parse).ToArray();
    }

    public static void Main()
    {
        var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
        Console.SetOut(sw);

        var n = Read();
        var input = Reads();
        var t = input[0];
        var a = input[1];
        input = Reads();
        var d = new long[n];
        for(int i = 0; i < n; i++)
        {
            d[i] = (long)Math.Abs(a-(t - input[i] * 0.006))*1000;
        }
        long min=0;
        for(int i = 0; i < n; i++)
        {
            if (d.Min() == d[i])
            {
                min = i;
            }
        }
        Console.WriteLine(min + 1);

        Console.Out.Flush();
    }
}