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>
using namespace std;
typedef unsigned long long u64;
typedef signed long long l64;

int main(void)
{
  cin.tie(0);
  ios::sync_with_stdio(false);
  l64 a, b;
  cin >> a >> b;
  if (a<=0 && 0<=b) {cout << "Zero" << endl; return 0;}
  if (a>0) {cout << "Positive" << endl; return 0;}
  if (b>0) b=0;
  cout << ((b-a)%2 != 0 ? "Positive" : "Negative") << endl;
  return 0;
}