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.Linq;

namespace AtCorder
{
    class Program
    {
        static void Main(string[] args)
        {
            var input1 = Console.ReadLine();
            var input2 = Console.ReadLine().Split(' ');
            var input3 = Console.ReadLine();

            var n = int.Parse(input1);
            var t = int.Parse(input2[0]);
            var a = int.Parse(input2[1]);
            var hs = input3.Split(' ')
                           .Select(s => int.Parse(s))
                           .ToArray();
            var pos = 0;
            var diff = long.MaxValue;

            for (var i = 0; i < n; i++)
            {
                var d = Math.Ceiling((t - hs[i] * 0.006) - a);
                
                if (d < 0)
                {
                    d = -d;
                }

                if (d < diff)
                {
                    diff = (int)d;
                    pos = i + 1;
                }
            }

            Console.WriteLine(pos);
        }
    }
}