Problem:
Problem Statement

You are given two integers a and b (a≤b). Determine if the product of the integers a, a+1, …, b is positive, negative or zero.

Constraints

a and b are integers.

-10^9≤a≤b≤10^9

Partial Score

In test cases worth 100 points, -10≤a≤b≤10.

Input

The input is given from Standard Input in the following format:

a b

Output

If the product is positive, print Positive. If it is negative, print Negative. If it is zero, print Zero.

Sample Input 1

1 3

Sample Output 1

Positive

1×2×3=6 is positive.

Sample Input 2

-3 -1

Sample Output 2

Negative

(-3)×(-2)×(-1)=-6 is negative.

Sample Input 3

-1 1

Sample Output 3

Zero

(-1)×0×1=0.

Solution in Scala (2.11.7) (judge verdict: Accepted)

/**
 * Created by rasrivastava on 10/23/16.
 */
class RangeProduct(val a : Int,val b : Int) {
  def getPositives(range: Range) : Int = {
    if (range.min < 0 && range.max < 0) {
      0
    }else {
      range.length
    }
  }

  def getNegatives(range: Range) : Int = {
    if (range.min > 0 && range.max > 0) {
      0
    }else {
      range.length
    }
  }


  def getSign() : String = {
    val range = a to b
    if (range.contains(0)) {
      "Zero"
    }else {
      val positives = getPositives(range)
      val negatives = getNegatives(range)
      if (positives > 0) {
        "Positive"
      }else {
        if (negatives > 0) {
          if (negatives % 2 == 0) {
            "Positive"
          }else {
            "Negative"
          }
        }else {
          "Zero"
        }
      }
    }
  }
}


object Main extends App {
  val line = readLine()
  val lineArr = line.split(" ")
  println(new RangeProduct(lineArr(0).toInt,lineArr(1).toInt).getSign())
}