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.Linq;//リストの使用
using System.Collections.Generic;
using System.Text;//テキストの高速出力に必要
class Program
{
	static void Main()
	{
		long n = long.Parse(Console.ReadLine());//long.Parseはstringをlongに変換。
		string[] input = Console.ReadLine().Split(' ');//Splitで区切り文字を指定して複数個受け取る。
		float t = long.Parse(input[0]);
		float a = long.Parse(input[1]);
		float[] nums = Array.ConvertAll(Console.ReadLine().Split(' '),float.Parse);

    float answer = float.MaxValue;
    int answerNum = 0;

    for(int i = 0; i < n; i++)
    {
      if(answer > Math.Abs(t-a-nums[i]*0.006f))
      {
        answer = Math.Abs(t-a-nums[i]*0.006f);
        answerNum = i+1;
      }
    }

    
		Console.WriteLine(answerNum);//WriteLineをWriteとすると、改行なしで出力。
	}
}