Re: Lights out puzzle

[choroba]

Here's a quick Monday morning puzzle.

Quick?? I spent several hours on it, not being able to come with anything better then this:

<Reveal this spoiler or all in this thread>

It's a bit randomized, but usually runs under 2 seconds on my machine. Run it with a filename as an argument to check the solution saved in the file.
Update: Removed forgotten debugging line.
Update2: Readmore changed to spoiler.

[choroba]

Here are some comments on how it works:
The code clears all the lines except for the last one (clean) the simple way: if there is a light, click underneath. The last line (or, better to say, broken line, i.e. the last line plus the remaining half of the previous one) is then solved half-randomly. At the beginning, I cache how clicking on the top line influences the last line, but only for one click on the line (i.e. I only know what the last line will be after having one light lit). Therefore, I have to click randomly until I get a cached position that I can solve. This works well for size 14, but the time doubles for each +2 in size, so size 20 is already too slow. Caching more positions could be added easily (like clicking two times), but I am not sure how much time it would take to cache all possible combinations on the first line.
Because the order of clicks is not important, I keep a separate map of the board with 0 for the even clicks and 1 for the odd ones. This separate board is the output of the program.

[ambrus]

I changed the definition of the show and toggle methods like this:

sub show {
    my $board = shift;
    print "\e[H";
    for my $row (@$board) {
        return unless defined $row;
        print map $_ ? '*' : defined $_ ? '.' : '', @$row;
        print "\e[K\n";
    }
    print "\e[J";
    use Time::HiRes "sleep";
    sleep(6e-3);
} # show

sub toggle {
    my ($board, $x, $y) = @_;
    my $old = $board->[$y][$x];
    return unless defined $old;
    $board->[$y][$x] = $old eq 1 ? 0 : 1;
} # toggle

and now I can see the lights being chased down to the bottom of the board. Looks nice.

[choroba]

Yes, in fact, I did something similar for debugging :-)