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 (1.15.1) (judge verdict: Accepted)

fn read() -> f64 {
    use std::io::*;
    let stdin = stdin();
    let s: String = stdin
        .bytes()
        .map(|c| c.unwrap() as char)
        .take_while(|c| !c.is_whitespace())
        .collect::<String>();
    s.parse::<f64>().ok().unwrap()
}
fn main() {
    let a = read();
    let b = read();

    if a > 0.0 && b > 0.0 {
        println!("Positive");
    } else if a <= 0.0 && b >= 0.0 {
        println!("Zero");
    } else if (a < 0.0 && b < 0.0) && (b - a) % 2.0 == 1.0 {
        println!("Positive");
    } else {
        println!("Negative");
    }
}