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.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.StringTokenizer;

public class Main {
	public static void main(String[] args) throws Exception{
		BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
		PrintWriter out = new PrintWriter(System.out);

		StringTokenizer st;
		int a,b;
		for (String line; (line = in.readLine())!=null;) {
			st = new StringTokenizer(line);

			a = Integer.parseInt(st.nextToken());
			b = Integer.parseInt(st.nextToken());

			if((a<0&&b>0)||(a==0||b==0)){
				out.println("Zero");
			}else if((a>0&&b>0)||(Math.abs(Math.abs(b)+Math.abs(a))%2!=0)){
				out.println("Positive");
			}else{
				out.println("Negative");
			}

		}

		out.close();
		in.close();
	}
}