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)

#include <bits/stdc++.h>

#define rep(i, n, s) for(int (i) = 0; (i) < (n); (i) += (s))

using namespace std;

template <class T>
void printv(vector<T> v)
{
  cout << '[';
  for (auto vec: v)
  {
    cout << vec << ' ';
  }
  cout << ']' << endl;
}

int main()
{
  long long a, b;
  cin >> a >> b;

  if (a < 0 && b < 0)
    cout << "Negative" << endl;
  else if (a <= 0 || b <= 0)
    cout << "Zero" << endl;
  else 
    cout << "Positive" << endl;
}