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: Time Limit Exceeded)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace abc113
{
    class abc113b
    {
        static void Main(string[] args)
        {
            var N = int.Parse(Console.ReadLine());
            var buf = Console.ReadLine().Split();
            var T = double.Parse(buf[0]);
            var A = double.Parse(buf[1]);
            var H = Console.ReadLine().Split().ToList().ConvertAll(double.Parse);

            var diffMax = 110.0;
            var candidate = 0;
            for (var i = 1; i <= N; ++N)
            {
                var averageTempDiff = T - H[i - 1] * 0.006;
                if (averageTempDiff < diffMax)
                {
                    diffMax = averageTempDiff;
                    candidate = i;
                }
            }
            Console.WriteLine(candidate);
        }
    }
}