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;

class Program
{
    static void Main()
    {
        var n = int.Parse(Console.ReadLine());
        var input = Console.ReadLine().Split(' ').Select(s => int.Parse(s)).ToArray();
        var tempreture = input[0];
        var average = input[1];
        var heights = Console.ReadLine().Split(' ').Select(s => int.Parse(s)).ToArray();

        var min = double.MaxValue;
        var point = 0;
        for (int i = 0; i < n; i++)
        {
            var buf = Conpare(Ave(tempreture, heights[i]), average);
            if (min > buf)
            {
                min = buf;
                point = i + 1;
            }
        }

        Console.WriteLine(point);
    }

    static double Ave(int temp, int height)
    {
        return temp - height * 0.006;
    }

    static double Conpare(double a, double b)
    {
        return Math.Abs(Math.Max(a, b) - Math.Min(a, b));
    }
}