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 ABC113 {
	class ABC113_B {
		private const double SUBRATE = 0.006;
		private static int _N, _T, _A;
		private static Dictionary<int, double> _Hi = new Dictionary<int, double>() { };

		static void Main(string[] args) {
			_N = int.Parse(Console.ReadLine());
			var line = Console.ReadLine().Split(' ').Select(s => int.Parse(s)).ToArray();
			_T = line[0]; _A = line[1];
			foreach (var item in Console.ReadLine().Split(' ').Select((v, ix) => new { v, ix }))
				_Hi[item.ix+1] = Math.Abs(_A - (_T - int.Parse(item.v) * SUBRATE) );

			var SortedHi = _Hi.OrderBy(s => s.Value);
			Console.WriteLine(SortedHi.First().Key);
		}
	}
}