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 Perl6 (rakudo-star 2016.01) (judge verdict: Accepted)

use v6;

my ($a, $b) = get().chomp.split(' ');
if (0 < $a) {
	say 'Positive';
} elsif ($b < 0) {
	my $n = $b - $a;
	if ($n % 2 == 0) {
		say 'Negative';
	} else {
		say 'Positive';
	}
} else {
	say 'Zero';
}


exit;