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.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using System.Diagnostics;
using System.Numerics;

public class Program
{
    public static void Main(string[] args)
    {
        int n = int.Parse(Console.ReadLine());

        string[] line = Console.ReadLine().Split(' ');
        int t = int.Parse(line[0]);
        int a = int.Parse(line[1]);

        Func<int, double> temp = (temp_a) => t - temp_a * 0.006d;
        Func<int, double> abs = (abs_a) => Math.Abs(a - temp(abs_a));

        int[] H = Console.ReadLine().Split(' ').Select(x => int.Parse(x)).ToArray();

        int index = 0;
        double min = double.MaxValue;
        for(int i = 0; i < H.Length; i++)
        {
            if(IsMin(ref min, abs(H[i])))
            {
                index = i;
            }
        }

        Console.WriteLine(index + 1);
        Console.ReadLine();
    }

    static bool IsMin(ref double min, double value)
    {
        if (min > value)
        {
            min = value;
            return true;
        }
        else
        {
            return false;
        }
    }
}