I think all you need is a binary counter, like this:
$vars = 4; # number of bits
for my $i (0 .. (1<<$vars)-1) {
printf "%0${vars}b\n", $i;
}
Well, you might want to spread the cell entries a little, so you'll have fun figuring that out. :)
As for the header: you can cheat. All you have to do is sort the names in order of value, and print them out first. Above the table the code here creates.
And $vars in the above code must be the same as your number of variables. More beginners' fun.
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