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)

import scala.io.{StdIn => in}

object Main extends App {
  val Array(a, b) = in.readLine.split(" ").map(_.toInt)

  val ans = (a, b) match {
    case (a, b) if a > 0 && b > 0 => "Positive"
    case (a, b) if a <= 0 && 0 <= b => "Zero"
    case (a, b) if (a.abs - b.abs + 1) % 2 == 0 => "Positive"
    case (a, b) if (a.abs - b.abs + 1) % 2 == 1 => "Negative"
  }

  println(ans)
}