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# (.NET Core 3.1.201) (judge verdict: Accepted)

using System;

class Program
{
  static void Main(string[] args)
  {
    int N = int.Parse(Console.ReadLine());
    string[] s = Console.ReadLine().Split(' ');
    int T = int.Parse(s[0]);
    int A = int.Parse(s[1]);
    int[] H = new int[N];
    string[] s2 = Console.ReadLine().Split(' ');
    for (int i = 0; i < N; i++)
    {
      H[i] = int.Parse(s2[i]);
    }
    int cc = 1000000000;
    int res = 0;
    for (int i = 0; i < N; i++)
    {
      int d = 1000 * T - H[i] * 6;
      if (cc > Math.Abs(d - A * 1000))
      {
        res = i + 1;
        cc = Math.Abs(d - A * 1000);
      }
    }
    Console.WriteLine(res);
  }
}