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 Rust (1.42.0) (judge verdict: Runtime Error)

use proconio::{input, fastout};

#[fastout]
fn main() {
    input! {
        a: i64,
        b: i64,
    };


    println!("{}",
        match (a..=b).collect::<Vec<i64>>().iter().product::<i64>() {
            0 => "Zero",
            n if n < 0 => "Negative",
            _ => "Positive",
        }
    );
}