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.Linq;

public class Hello
{
    public static void Main()
    {
        // Your code here!
        int N = int.Parse(Console.ReadLine());
        int[] a = Console.ReadLine().Split(' ').Select(x => int.Parse(x)).ToArray();
        int[] H = Console.ReadLine().Split(' ').Select(y => int.Parse(y)).ToArray();
        int T = a[0];
        int A = a[1];
        int ans = 1;
        double difMin = 1000000;
        
        for(int i = 0; i < N; i++)
        {
            //標高H[i]における平均気温tを求める
            double t = (double)T - (double)(H[i] * 0.006);
            //tとAの差difを求める
            double dif = (double)Math.Abs(t - A);
            
            if(dif < difMin)//もしdifが最小値より小さいならば
            {
                //最小値を更新
                difMin = dif;
                //その時の場所の番号を記録
                ans = i + 1;
            }
        }
        Console.WriteLine(ans);
    }
}