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++ (GCC 9.2.1) (judge verdict: Wrong Answer)

#include <bits/stdc++.h>

#define rep(i,a,n) for (int i=a;i<=n;i++)
#define per(i,a,n) for (int i=n;i>=a;i--)
#define vi vector<int>
#define pii pair<int,int>
#define pb push_back
#define mp make_pair
#define eb emplace_back
#define all(x) (x).begin(),(x).end()
#define fi first
#define se second
#define sz(x) ((int)(x).size())
#define mod(x) ((x)%MOD)
#define o(X) (1<<(X))
#define oL(X) (1LL<<(X))
#define LL long long
#define ppt(x) __builtin_popcount(x)
using namespace std;
const int INF=0x3f3f3f3f,N=1e6+5,MOD=1e9+7;
const LL INF_LL=0x3f3f3f3f3f3f3f3fLL;

template<typename T>
inline int getplc(T x,int y) { return (x>>y)&1; }
template<typename T>
T square(T x) {return x*x;}

LL qpow(LL a,LL b=MOD-2,LL _MOD=MOD){
	LL res=1;
	for(;b;b>>=1,a=a*a%_MOD){
		if(b&1)res=res*a%_MOD;
	}
	return res;
}

template <typename T>
T Smax(T x) { return x; }
template<typename T, typename... Args>
T Smax(T a, Args... args) {
	return max(a, Smax(args...));
}
template <typename T>
T Smin(T x) { return x; }
template<typename T, typename... Args>
T Smin(T a, Args... args) {
	return min(a, Smin(args...));
}

template <typename T>
#define errorl(args...) {  \
	string _s = #args;   \
	replace(_s.begin(), _s.end(), ',', ' ');  \
    stringstream _ss(_s);  \
    istream_iterator<string> _it(_ss);  \
    errl(_it, args);  \
}
void errl(istream_iterator<string> it) {}
template<typename T, typename... Args>
void errl(istream_iterator<string> it, T a, Args... args) {
	cerr << *it << " = " << a << endl;
	errl(++it, args...);
}
#define error(args...) {  \
    string _s = #args;  \
    replace(_s.begin(), _s.end(), ',', ' ');  \
    stringstream _ss(_s);  \
    istream_iterator<string> _it(_ss);  \
    err(_it, args);  \
    cerr<<endl; \
}
void err(istream_iterator<string> it) {}
template<typename T, typename... Args>
void err(istream_iterator<string> it, T a, Args... args) {
	cerr << *it << "=" << a << " # ";
	err(++it, args...);
}

void Solve() {
	int l,r;
	cin>>l>>r;
	if(l<=0&&0<=r){
		cout<<"Zero\n";
	}
	else if(max(0,0-l)&1)cout<<"Negative\n";
	else cout<<"Positive\n";
}


int main() {
#ifndef ONLINE_JUDGE
	freopen("in.txt","r",stdin);
//  freopen("o1.txt","w",stdout);
#endif
	ios::sync_with_stdio(false);cin.tie(0),cout.tie(0);
	Solve();
	return 0;
}