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>
#define rep(i, n) for (ll i = 0; i < n; i++)
using ll = long long;
using namespace std;
const int INF = 1e9;

int main() {

    int A, B;
    cin >> A >> B;

    if (A == 0 && B == 0 || A * B < 0)
        cout << "Zero";
    else {
        if (A < 0) {
            if ((B - A + 1) % 2 == 0)
                cout << "Positive";
            else
                cout << "Negative";
        } else
            cout << "Positive";
    }

    cout << endl;

    return 0;
}