sub range_overlaps {
    my ($start_probe, $end_probe, @skip) = @_;
    my $start_idx = last_index { $_ <= $start_probe } @skip;
    my $end_idx   = last_index { $_ <= $end_probe   } @skip;
    return $start_idx != $end_idx || ($start_idx % 2 == 0);
}