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;

namespace CompetitiveProgramming
{
    class Program
    {
        static void Main(string[] args)
        {
            int n = int.Parse(Console.ReadLine());
            string[] t_a = Console.ReadLine().Split(' ');
            string[] h_list = Console.ReadLine().Split(' ');
            int t = int.Parse(t_a[0]);
            int a = int.Parse(t_a[1]);
            double diff_min = 0;
            int ans_index = 0;

            for (var i = 0; i < n;i++)
            {
                double i_temp = t - int.Parse(h_list[i])*000.6;
                double diff = Math.Abs(a - i_temp);

                if (i == 0) 
                {
                    diff_min = diff; 
                }
                if (diff < diff_min) 
                {
                    diff_min = diff;
                    ans_index = i;

                }
            }

            Console.WriteLine(ans_index + 1);


        }
    }
}