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.Collections.Generic;
using System.Linq;
using BitArray = System.Collections.BitArray;
using BigInteger = System.Numerics.BigInteger;

namespace AtCoderProject
{
    public class Program
    {
        public object Calc()
        {
            //var line = consoleReader.SplitInt32();
            var N = consoleReader.Int32();
            var line = consoleReader.SplitInt32();
            var T = line[0];
            var A = line[1];
            var h = consoleReader.SplitInt32();

            double min = int.MaxValue;
            var index = -1;
            for (int i = 0; i < N; i++)
            {
                var temp = T - h[i] * 0.006;
                var diff = Math.Abs(A - temp);
                if (diff < min)
                {
                    min = diff;
                    index = i;
                }
            }
            return index + 1;
        }

        IEnumerable<long> GetYakusu(long num)
        {
            long amari;
            var sqrt = (long)Math.Sqrt(num);
            for (long l = 1; l <= sqrt; l++)
            {
                var d = Math.DivRem(num, l, out amari);
                if (amari == 0)
                {
                    yield return l;
                    yield return d;
                }
            }
        }

        private readonly ConsoleReader consoleReader;
        public Program() : this(new ConsoleReader()) { }
        public Program(ConsoleReader consoleReader) { this.consoleReader = consoleReader; }
        static void Main() => Console.WriteLine(new Program().Calc());
        public static string MultiLine<T>(IEnumerable<T> source) => string.Join("\n", source);
    }

    public class ConsoleReader { public virtual string String() => Console.ReadLine(); public int Int32() => int.Parse(String()); public long Int64() => long.Parse(String()); public ulong UInt64() => ulong.Parse(String()); public double Double() => double.Parse(String()); public string[] Split() => String().Split().ToArray(); public int[] SplitInt32() => String().Split().Select(int.Parse).ToArray(); public long[] SplitInt64() => String().Split().Select(long.Parse).ToArray(); public ulong[] SplitUInt64() => String().Split().Select(ulong.Parse).ToArray(); public double[] SplitDouble() => String().Split().Select(double.Parse).ToArray(); public IEnumerable<string> Repeat(int count) { for (int i = 0; i < count; i++) yield return String(); } public IEnumerable<int> RepeatInt32(int count) { for (int i = 0; i < count; i++) yield return Int32(); } public IEnumerable<long> RepeatInt64(int count) { for (int i = 0; i < count; i++) yield return Int64(); } public IEnumerable<string[]> RepeatSplit(int count) { for (int i = 0; i < count; i++) yield return Split(); } public IEnumerable<int[]> RepeatSplitInt32(int count) { for (int i = 0; i < count; i++) yield return SplitInt32(); } }
}