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 Scala (2.13.1) (judge verdict: Accepted)

object Main extends App {
  val inputs: Seq[String] = scala.io.Source.stdin.getLines().toList
  val n    = inputs(0).toInt
  val ta   = inputs(1).split(" ").map(_.toInt)
  val t    = ta(0)
  val a    = ta(1)
  val hSeq = inputs(2).split(" ").map(_.toInt)

  println(solve(n, t, a, hSeq))

  def solve(n: Int, t: Int, a: Int, hSeq: Seq[Int]): Int = {
    val c = 0.006D
    val absSeq = hSeq.map { i =>
      val averageC = t - (i * c)
      Math.abs(a - averageC)
    }

    absSeq.indexOf(absSeq.min) + 1
  }
}