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;

namespace question2
{
    class Program
    {
        static void Main(string[] args)
        {
            var p = new Program();
            p.Run();
        }

        void Run()
        {
            var line1 = Console.ReadLine();
            var line2 = Console.ReadLine();
            var line3 = Console.ReadLine();

            var n = int.Parse(line1);
            var t = int.Parse(line2.Split(' ')[0]);
            var a = int.Parse(line2.Split(' ')[1]);

            var ret = -1;
            var mindiff = double.MaxValue;

            for (int i = 0; i < n; i++)
            {
                var hi = int.Parse(line3.Split(' ')[i]);
                var ai = t - hi * 0.006;
                var diff = Math.Abs(a - ai);

                if (mindiff >= diff)
                {
                    ret = i;
                    mindiff = diff;
                }
            }

            Console.WriteLine(ret + 1);
        }
    }
}