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(){
    long long a, b; cin >> a >> b;
    long long ans = a;
    if(a == 0 || b == 0 || (a < 0 && b > 0)) {
        cout << "Zero" << endl;
        return 0;
    }
    for(int i = a + 1; i <= b; i++) {
        ans *= i;
    }
    if(ans > 0) { 
        cout << "Positive" << endl;
    } else if(ans == 0) {
        cout << "Zero" << endl;
    } else { 
        cout << "Negative" << endl;
    }
}