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 PHP7 (7.0.15) (judge verdict: Time Limit Exceeded)

<?php
$input = array_map('intval', explode(' ', fgets(STDIN)));
$a = $input[0];
$b = $input[1];
$cnt = 1;

for ($i=$a; $i<($b+1); $i++) {
    $cnt *= $i;
}
if ($cnt>0){
    print 'Positive';
} elseif ($cnt<0) {
    print 'Negative';
} else {
    print 'Zero';
}