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# (.NET Core 3.1.201) (judge verdict: Wrong Answer)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace ABC113
{
    class ProblemB
    {
        static void Main(string[] args)
        {
            int N = int.Parse(Console.ReadLine());
            int[] TA = Console.ReadLine().Split(' ').Select(x => int.Parse(x)).ToArray();
            int T = TA[0];
            int A = TA[1];
            int[] H = Console.ReadLine().Split(' ').Select(x => int.Parse(x)).ToArray();

            double[] d = new double[N];
            for(int i = 0; i < N; i++)
            {
                d[i] = Math.Abs(A - (T - H[i] * 0.006));
            }

            int id = 0;
            double dMin = 1e+9;
            for(int i = 0; i < N; i++)
            {
                if (d[i] < dMin) id = i + 1;
            }

            Console.WriteLine(id);
        }
    }
}