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

namespace AtCoder
{
    class Program
    {
        static void Main(string[] args)
        {
#if DEBUG
            Solve(Console.In, Console.Out);
            Console.ReadLine();
#else
            Solve(Console.In, Console.Out);
#endif
        }

        public static void Solve(TextReader ci, TextWriter co)
        {
            int n;
            int t, a;
            int[] h;
            n = ReadInt(ci);
            ReadInts(ci, out t, out a);
            h = IntArrayFrom(ci.ReadLine());

            double min_d = double.MaxValue;
            int min_i = -1;
            for (int i = 0; i < h.Length; ++i) {
                double d = Math.Abs(a - (t - 0.006 * h[i]));
                if (d < min_d) {
                    min_d = d;
                    min_i = i;
                }
            }
            co.WriteLine(min_i + 1);
            co.Flush();
        }

        public static int ReadInt(TextReader ci) => int.Parse(ci.ReadLine());

        public static void ReadInts(TextReader ci, out int a, out int b)
        {
            var array = IntArrayFrom(ci.ReadLine());
            a = array[0];
            b = array[1];
        }

        public static void ReadInts(TextReader ci, out int a, out int b, out int c)
        {
            var array = IntArrayFrom(ci.ReadLine());
            a = array[0];
            b = array[1];
            c = array[2];
        }

        public static int[] IntArrayFrom(string s)
            => s.Split(' ').Select(p => int.Parse(p)).ToArray();
    }
}