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 (2.11.7) (judge verdict: Accepted)

object Main {
  def main(args: Array[String]): Unit = {
    val candidate_num = scala.io.StdIn.readInt
    val temperatures  = scala.io.StdIn.readLine.split(" ").map{_.toInt}
    val candidate     = scala.io.StdIn.readLine.split(" ").map{_.toInt}
    var diff_min      = 100000.0
    var dicision_num  = 0

    for(i <- 0 until candidate.length) {
      val diff = Math.abs(temperatures(1) - (temperatures(0) - 0.006*candidate(i)))
      if (diff_min > diff) {
        diff_min     = diff
        dicision_num = i + 1
      }
    }
    println(dicision_num)
  }
}