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: Runtime Error)

package atcoder;

import java.util.Scanner;

public class Main {
	public static void main(String[] args) throws java.io.IOException {
		// TODO 自動生成されたメソッド・スタブ
		Scanner in = new Scanner(System.in);
		int a = in.nextInt();
		int b = in.nextInt();
		int initiala = a;
		int c = 0;
		int result = 0;
		for (;a <= b; a++) {
			if (a == initiala) {
				c = a * (a + 1);
			} else {
				c = c * a;
			}
			result = c;
			if (result == 0) {
				break;
			}
		}
		if(result > 0){
			System.out.println("Positive");
		} else if(result < 0){
			System.out.println("Negative");
		} else if (result == 0) {
			System.out.println("Zero");
		}
	}
}