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 System.Threading.Tasks;

namespace ConsolePractice
{
    class Program
    {
        static void Main(string[] args)
        {                        
            string[] str1 = Console.ReadLine().Split(' ');
            int N = int.Parse(str1[0]);
            string[] str2 = Console.ReadLine().Split(' ');
            int T = int.Parse(str2[0]);
            int A = int.Parse(str2[1]);
            string[] str3 = Console.ReadLine().Split(' ');
            int[] H = new int[N];
            for(int i = 0; i < N; i++)
            {
                H[i] = int.Parse(str3[i]);
            }
            double[] temperature = new double[N];
            double min = int.MaxValue;
            double point = 0;
            for(int i = 0; i < N; i++)
            {
                temperature[i] = T - H[i] * 0.006;
                if (min > Math.Abs(temperature[i] - A))
                {
                    min = Math.Abs(temperature[i] - A);
                    point = i+1;
                }
            }


            Console.Write(point.ToString());
           
        }
    }
}