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 static System.Convert;
using static System.Console;
using static System.Math;
class MainClass
{
	static void Main(string[] args)
	{
		Answer();
	}
	public static void Answer()
	{
		var n = int.Parse(Console.ReadLine());
      var l2 = Console.ReadLine().Split(' ').Select(int.Parse).ToArray();
      var T = l2[0];var A = l2[1];
      double min = 601;
      int idx = -1;
      var arrH = Console.ReadLine().Split(' ').Select(int.Parse).ToArray();
      for (int i = 0; i < n; i++)
      {
        var tmp = T - (0.006 * arrH[i]);
        var diff = Math.Abs(A - tmp);
        if (diff < min) { min = diff; idx = i+1; }
      }
      Console.WriteLine(idx);
	}
}