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 PHP (5.6.30) (judge verdict: Accepted)

<?php
/*
    Problem URL : http://agc002.contest.atcoder.jp/tasks/agc002_a

    Score  :
    Result :
    Time   : ms
    Memory : KB
 */

fscanf(STDIN, "%d %d", $a, $b);
// echo $a . " " . $b . PHP_EOL;

if ($a <= 0 && $b >= 0) {
    echo "Zero\n";
}

if ($a > 0) {
    echo "Positive\n";
}

if ($b < 0) {
    // echo $b - $a . PHP_EOL;
    if (($b - $a) % 2 === 0)
    {
        echo "Negative\n";
    } else {
        echo "Positive\n";
    }
}