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: Time Limit Exceeded)

/*+lmake
 * STD = c++14
 * DEFINE += WAAUTOMATON
 */
#include <bits/stdc++.h>
using namespace std;
using LL=long long;
using ULL=unsigned long long;
#ifdef WAAUTOMATON
     #define debug(args...)            {dbg,args; cerr<<endl;}
#else
    #define debug(args...)              // Just strip off all debug tokens
#endif

struct debugger
{
    template<typename T> debugger& operator , (const T& v)
    {    
        cerr<<v<<" ";    
        return *this;    
    }
} dbg;

void solve(long long a, long long b){
	long double x=1;
	for(int i=a; i<=b; ++i) {
		x*=i;
	}	
	if (abs(x)<=1e-7) {
		puts("Zero");
	} else if (x<0) {
		puts("Negative");
	} else {
		puts("Positive");
	}
}

int main(){	
#ifdef WAAUTOMATON
	//freopen("in.txt","r",stdin);
#endif
	long long b;
	long long a;
	scanf("%lld",&a);
	scanf("%lld",&b);
	solve(a, b);
	return 0;
}