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 (Clang 3.8.0) (judge verdict: Wrong Answer)

#include <iostream>
#include <vector>
#include <map>
#include <set>
#include <algorithm>
#include <fstream>
#include <string>
#include <math.h>
#include <cstdlib>
#include <istream>
#include <sstream>
#include <cctype>
#include <iomanip>
//cout << fixed << setprecision(20) << *** << endl;
#define rep(i,N) for(int i=0;i<(int)N;++i)
typedef long long ll;
using namespace std;
int main()
{
	ll A,B;
	cin>>A>>B;
	if(A<=0&&B>=0){
		cout<<"Zero"<<endl;
		return 0;
	}
	if(A>0&&B>0){
		cout<<"Positive"<<endl;
	}
	else{
		if((abs(B)-abs(A+1)+1)%2==1){
			cout<<"Positive"<<endl;
		}
		else{
			cout<<"Negative"<<endl;
		}
	}

}