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;

class Program
{
  static void Main(string[] args)
  {
    int N = int.Parse(Console.ReadLine());
    string[] conditions = Console.ReadLine().Split(' ');
    string[] elevations = Console.ReadLine().Split(' ');
    int T = int.Parse(conditions[0]);
    int A = int.Parse(conditions[1]);
    double min = 1 << 30;
    int ans = -1;
    for (int i = 0; i < N; ++i)
    {
      int h = int.Parse(elevations[i]);
      double temp = Math.Abs(A - (T - h * 0.006));
      if (min > temp)
      {
        ans = i + 1;
        min = temp;
      }
    }

    Console.WriteLine(ans);
  }
}