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)

use std::io;

fn next_vec() -> Vec<i64> {
    let mut buf = String::new();
    io::stdin().read_line(&mut buf).unwrap();
    buf.split_whitespace().map(|n| n.parse().unwrap()).collect()
}

fn main() {
    let v = next_vec();
    let a = v[0];
    let b = v[1];

    let ans = if a <= 0 && b >= 0 {
        "Zero"
    } else if a > 0 {
        "Positive"
    } else if (b - a) % 2 == 0 {
        "Negative"
    } else {
        "Positive"
    };

    println!("{}",ans);
}