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>
#include <cstring>
#include <cassert>
#include <vector>
#include <set>
#include <map>
#include <queue>
#include <algorithm>
using namespace std;
typedef long long ll;

int main(){
  int a, b;
  cin >> a >> b;
  if (a <= 0 && 0 <= b){
    cout << "Zero" << endl;
  } else if(0 < a || (b - a) % 2 == 1) {
    cout << "Positive" << endl;
  } else {
    cout << "Negative" << endl;
  }
  return 0;
}