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;

class Program
{
    public Program()
    {
        int N = int.Parse(Console.ReadLine());
        string[] inputs = Console.ReadLine().Split();
        int T = int.Parse(inputs[0]);
        int A = int.Parse(inputs[1]);
        int[] hs = Console.ReadLine().Split().Select(int.Parse).ToArray();
        int result = 0;
        double min = int.MaxValue;
        foreach(int i in Enumerable.Range(0, N))
        {
            Double a = Math.Abs(A - (T - 0.06 * hs[i]));
            if(min > a)
            {
                min = a;
                result = i;
            }
        }
        Console.WriteLine(result + 1);
    }
    static void Main(string[] args)
    {
        var p = new Program();
    }
}