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;
using System.Linq;
using System.Collections;
using System.Collections.Generic;

namespace AtCoderABC113
{
    class Location
    {
        public int index;
        public double height;
        public Location(int idx, double h)
        {
            index = idx;
            height = h;
        }
    }
    class Program
    {
        public static void Main(string[] args)
        {
            int N = int.Parse(Console.ReadLine());
            string[] s = Console.ReadLine().Split(' ');
            double T = double.Parse(s[0]);
            double A = double.Parse(s[1]);
            s = Console.ReadLine().Split(' ');
            List<Location> H = new List<Location>();
            for (int i = 0; i < N; i++)
            {
                H.Add(new Location(i + 1, Math.Abs(T - double.Parse(s[i]) * 0.006 - A)));
            }
            H = H.OrderBy(x => x.height).ToList();
            Console.WriteLine(H[0].index);
        }
    }
}