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 <bits/stdc++.h>
 
using namespace std;
 
typedef long long ll;

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    int a, b;
    cin >> a >> b;
    if (0 >= a && 0 <= b) {
        cout << "Zero\n";
        return 0;
    } 
    if (a > 0) {
        cout << "Positive\n";
        return 0;
    }
    int cnt = b - a + 1;
    if (cnt % 2 == 0) {
        cout << "Postivie\n";
        return 0;
    } else {
        cout << "Negative\n";
    }
    return 0;
}