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)

// デバッグ実行：Ctrl+F5

using System;

class Program
{
    static void Main(string[] args)
    {
        String line;
        line = Console.ReadLine();
        String[] words = line.Split(' ');
        int N = int.Parse(line);
        line = Console.ReadLine();
        words = line.Split(' ');
        double T = double.Parse(words[0]);
        double A = double.Parse(words[1]);
        double[] H = new double[N];
        line = Console.ReadLine();
        words = line.Split(' ');
        for(int i = 0; i < N; i++)
        {
            H[i] = double.Parse(words[i]);
        }
        int TOP = 0;
        double TOPsa = A - (T - H[0] * 0.006);
        TOPsa = Math.Abs(TOPsa);
        for (int i = 1; i < N; i++)
        {
            double sa = A - (T - H[i] * 0.006);
            sa = Math.Abs(sa);
            if (TOPsa > sa)
            {
                TOPsa = sa;
                TOP = i;
            }
        }

        Console.WriteLine(TOP + 1);
    }
}