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 5.4.1) (judge verdict: Accepted)

#include<stdio.h>

int main() {

	int a, b, i = 0;

	scanf("%d", &a);
	scanf("%d", &b);

	if (a > 0) {
		if (b < 0) {
			printf("Zero");
		}
		else {//aもbもどちらも正の数
			printf("Positive");
		}
	}
	else if (a < 0) {
		if (b > 0) {
			printf("Zero");
		}
		else if ((a - b) % 2 == 0) {
			printf("Negative");
		}
		else {
			printf("Positive");
		}
	}

	return 0;
}