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 C++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <iostream>
using namespace std;
int main(){
	int a,b;
	cin >> a >> b;
	if(a*b < 0){
		cout << "Zero" <<endl;
	}else if(a == b){
		if(a > 0) cout << "Positive" <<endl;
		else if(a == 0) cout << "Zero" << endl;
		else cout << "Negative" << endl;
	}else if(a > 0){
		cout << "Positive" << endl;
	}else if((b-a)%2 == 1){
		cout << "Positive" << endl;
	}else{
		cout << "Negative" <<endl;
	}
	return 0;
}