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 static System.Console;
using static System.Math;

// 

public class Program_ABC113_B // ←Class名変更！！
{
    public static void Main()
    {
        var n = int.Parse(ReadLine());


        var xy = ReadLine().Split(' ');
        var t = int.Parse(xy[0]);  //x,y なのか y,xなのか注意
        var a = int.Parse(xy[1]);

        var ha = Array.ConvertAll(ReadLine().Split(' '), int.Parse);

        var tempI = 0 + 1;
        var tempV = t - (ha[0] * 0.006D);
        tempV = Abs(a - tempV);
        for (int i = 1; i < ha.Length; i++)
        {
            var r = t - (ha[i] * 0.006D);
            System.Diagnostics.Debug.WriteLine($"★★{r}");
            r = Abs(a - r);
            if (r < tempV)
            {
                tempI = i + 1;
                tempV = r;
            }

        }

        var result = tempI;
        WriteLine($"{result}");
        return;

    } // Main

}     // Class