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.Linq;

class B{
	static void Main(){
		Console.ReadLine();
		int t=0,a=0;
		var t1 =Console.ReadLine().Split(' ').Select(x => int.Parse(x)).ToList();
		t=t1[0];
		a=t1[1];
		var h = Console.ReadLine().Split(' ').Select(x => int.Parse(x)).ToList();
		float mintemp=0;
		int minindex=0;
		for(int index=1;index <= h.Count();index++){
			int h1 = h[index-1]; 
			if(mintemp > Math.Abs(a-h1)){
					mintemp=Math.Abs(a-h1);
					minindex=index;
			}
		}
		Console.WriteLine(minindex +1);
	}

	static float GetTemp(int based,int height)
	{
		return based- height * 0.006f;
	}
}