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<iostream>
#include<cstdio>
using namespace std;

int d(int k)
{
    if(k<0)return -1;
    if(k==0)return 0;
    return 1;
}

int main()
{
    int a,b;cin>>a>>b;
    if(d(a)!=d(b)){cout<<"Zero\n";return 0;}
    if(d(a)==1){cout<<"Positive\n";return 0;}
    if(((b-a)%2)==0)cout<<"Negative\n";
    else cout<<"Positive\n";
}