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;

namespace HelloWorld
{
    class Program
    {
        static void Main(string[] args)
        {
            int N = int.Parse(Console.ReadLine());
            var tmpArr = Console.ReadLine();

            string[] arr = tmpArr.Split(' '); //気温をバラす

            int T = Int32.Parse(arr[0]); //平均気温の元になる値
            int A = Int32.Parse(arr[1]); //この値に最も近い値を正とする。
            
            var highArr = Console.ReadLine(); //入力された標高

            string[] high = highArr.Split(' '); //標高をバラす
            double[] avTmp = new double[N];
            double tagValue=0;
            double y = T;
            double x;

            for(int i=0;i<N;i++){
                avTmp[i] = T-double.Parse(high[i])*0.006;
                x = System.Math.Abs(A - avTmp[i]);
                if(y>x){
                    tagValue = i+1;
                    y = x;
                }
            }
            Console.WriteLine(tagValue);
        }
    }
}