fn main() {
    let doors = vec![false; 100]
        .iter_mut()
        .enumerate()
        .map(|(door, door_state)| {
            (1..100)
                .into_iter()
                .filter(|pass| (door + 1) % pass == 0)
                .map(|_| {
                    *door_state = !*door_state;
                    *door_state
                })
                .last()
                .unwrap()
        })
        .collect::<Vec<_>>();

    println!("{:?}", doors);
}