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

namespace regio
{
    class Class1
    {
        static void Main()
        {
            string str;
            string[] arr;

            int N, T, A,Sa,SaM;
            int Temp;
            int bangou=0;

            str = Console.ReadLine();
            N = int.Parse(str);

            int H;
            int Tem;

            str = Console.ReadLine();
            arr = str.Split(' ');
            T = int.Parse(arr[0]);
            A = int.Parse(arr[1]);
            SaM = 1145141919;

            str = Console.ReadLine();
            arr = str.Split(' ');

            for (int i = 0; i < N; i++)
            {
                H = int.Parse(arr[i]);
                Temp = (int)0.006 * H;

                Tem =(int) T - Temp;

                Sa = Math.Abs(Tem)-A;

                if (Sa<SaM)
                {
                    bangou = i;
                }
            }
            Console.WriteLine("{0}", bangou);
        }
        
    }
}