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;

namespace AtCoder
{
    class Program
    {
        static int t;
        static int a;

        static void Main(string[] args)
        {
            //[summary]B - Palace
            int n = int.Parse(Console.ReadLine());

            var line = ReadLine();
            t = line[0];
            a = line[1];

            var diffs = GetTemperatureDiffs(n);

            int result = diffs.OrderBy(x => x.Value).First().Key;
            Console.WriteLine(result);
        }

        static Dictionary<int,double> GetTemperatureDiffs(int n)
        {
            var line = ReadLine();
            var dic = new Dictionary<int, double>();

            for(int i = 0; i < n; i++)
            {
                int height = line[i];
                double temperature = CalcTemperature(height);
                double diff = Math.Abs(a - temperature);
                dic.Add(i + 1, diff);
            }

            return dic;
        }

        static double CalcTemperature(int height)
        {
            return t - height * 0.006;
        }

        static List<int> ReadLine()
        {
            var line = Console.ReadLine().TrimEnd();
            var array = line.Split(' ');
            var numbers = new List<int>();

            foreach (var s in array)
            {
                int num = int.Parse(s);
                numbers.Add(num);
            }

            return numbers;
        }
    }
}