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: Accepted)

#include <bits/stdc++.h>

using namespace std;

//#define _FILES
#define PB push_back
#define MP make_pair
#define X first
#define Y second

int main()
{
    ios_base::sync_with_stdio(false);

    #ifdef _FILES
        freopen("","r",stdin);
        freopen("","w",stdout);
    #endif // _FILES
    int a, b;
    cin >> a >> b;
    if (a > 0)
    {
        cout << "Positive" << endl;
        return 0;
    }

    if (b >= 0)
    {
        cout << "Zero" << endl;
        return 0;
    }

    if ((b - a) & 1)
    {
        cout << "Positive" << endl;
    }
    else
    {
        cout << "Negative" << endl;
    }
    return 0;
}