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 Java7 (OpenJDK 1.7.0) (judge verdict: Accepted)

import java.io.InputStreamReader;
import java.util.Scanner;
 
public class Main {
	public static void main(String[] args) {
		try(Scanner scan = new Scanner(new InputStreamReader(System.in))){
			int a = scan.nextInt();
			int b = scan.nextInt();
			
			if(a > 0){
				System.out.println("Positive");
			}else if(b >= 0){
				System.out.println("Zero");
			}else{
				int x = b - (a - 1);
				if(x % 2 == 0){
					System.out.println("Positive");
				}else{
					System.out.println("Negative");
				}
			}
		}
	}
}