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 Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.util.Scanner;

public class Main {
  static long a, b;

  public static void main(String[] args){
    Scanner sc = new Scanner(System.in);

    a = sc.nextInt(); b = sc.nextInt();

    if(a <= 0 && 0 <= b){
      System.out.println("Zero");
      return;
    }

    if(a < 0 && b < 0){
      if((b - a) % 2L == 0L){
        System.out.println("Negative");
      }
      else{
        System.out.println("Positive");
      }
    }
    else{
      System.out.println("Positive");
    }
  }
}