![]() ![]() It varies, but this usually includes infinite time, monkeys, typewriters, and presumably zookeepers (so the monkeys stay in their seats). This is the reason why the thought experiment proposes "infinite" of a few resources. Given the previous discussion, you may guess that it would take a few attempts. So, suppose we had a single monkey which would generate purely random strings of length 14326 over some period of time, at which point we'd compare it to King Lear and give the monkey a thumbs up or (much more likely) a big ol' thumbs down. The punctuation symbols are also included. ![]() All sections of whitespace are replaced with only a single basic space character, and all letters are treated as uppercase. The first scene in the manuscript of King Lear used in this game is 14326 characters long (the entire play is 150746). Now let's use King Lear as a more specific example, because the numbers are big and that's just more fun. Fully random guesses are, generally, bad guesses. Similarly, in I̶n̶ finite Monkeys, you may notice that there are occasionally long stretches of time where no correct letter is hit, even with fast typing speeds. I knew the complexity would blow up very quickly, but the degree to which it exploded was a surprise - primarily because of the random element. ![]() So even for tiny guesses of five characters, the program would sometimes run for much longer than it should have, because every attempt is a purely random guess. This means that the "monkey approach" to password cracking is much worse on average than a brute-force attempt. Monkeys aren't so smart, because the idea behind the experiment is that their actions are (in an abstract sense) random, or rather, any previous action has no bearing on the next in any meaningful way. They already know the password isn't "BEANS"! If we equate what the monkey in this example is doing to something more realistic, like password-guessing, it becomes clear why. If a human were guessing a 5-character password, they'd be foolish to guess the word "BEANS" once, only to guess it again a little while later. When you get to N=5 and above, the simulation becomes very slow. okay! Now guess "UE", then "JHW" and so on. So on round 1, if the word was "A", it guesses "K". A monkey would guess random words of length N until it got the right one, then a round would start for N+1. The initial concept was to simulate a "true" version of the monkeys-on-typewriters experiment, with multiple rounds of guessing, and I wrote some test code for doing so (knowing that it wouldn't end well). While planning this game, I wanted to make the description and premise somewhat dorky. Because if you've been on pop-science YouTube, you'll know that even though it's better for proofs to treat the monkeys in this theorem like uniformly random string generators, it's much more fun to just calculate big numbers and talk about monkeys. Though I do some really basic statistics below, I avoided all the very technical stuff like the formal proof of the theorem. In I̶n̶ finite Monkeys, your monkeys will have to type the entire first scene of King Lear - the length of the text is part of the absurd premise I don't actually expect you to complete it all. This game is based on the Infinite Monkey Theorem, which posits that a monkey on a typewriter, if given infinite time, would be able to write any complex piece of literature, such as Shakespeare's King Lear. I highly recommend giving the write-up below a read while you wait for your monkeys to progress. ![]() Toggle the music and sound effects by clicking on the radio. Use the buttons on the top floor to hire more monkeys and motivate the existing ones to work faster by buying posters and banana trees. Monkeys will type letters at random until one hits the correct one, and each completed letter gets you $1. The goal of the game is to write the entire first scene of the first act of Shakespeare's King Lear, one random letter at a time. ![]()
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