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)

#define _overload3(_1,_2,_3,name,...) name
#define _rep(i,n) repi(i,0,n)
#define repi(i,a,b) for(int i=int(a);i<int(b);++i)
#define rep(...) _overload3(__VA_ARGS__,repi,_rep,)(__VA_ARGS__)
#include "bits/stdc++.h"
using namespace std;
typedef long long ll;

int main(int argc, char* argv[]){
    int a, b;
    cin >> a >> b;
    if(0<a && 0<b){
        cout << "Positive" << endl;
        return 0;
    }
    if((a<0 && 0<b) || (b<0 && 0<a)){
        cout << "Zero" << endl;
        return 0;
    }
    if(a%2 && b%2){
        cout << "Negative" << endl;
    } else {
        cout << "Positive" << endl;
    }
}