Playing every game of Wordle simultaneously

Summary

If you’ve fallen far enough down the Wordle rabbit hole you may have heard of Quordle, a version of Wordle where you solve four words at once. If you’re looking for more of a challenge, Britannica has you covered with Octordle, where you solve eight words at once. And of course any Wordler worth their salt should be able to handle sixteen words, like in Sedecordle. And no, it doesn’t stop there: Sexaginta-quattuordle isn’t real, it can’t hurt yo– One logical extreme of this trend would be to take the list of 2315 valid secret words to create duomilia-trecenti-quindecordle, where each day the puzzle is a different permutation of those 2315 words. Despite how chaotic the user interface would need to be, this variant wouldn’t be much of a challenge. Since the same guess is applied to all 2315 words every turn, entering each of the 2315 secret words in any order will always solve it with a perfect score of 2315 guesses. But what if you could enter different guesses for each of the 2315 secrets each turn? I call this Hyper Wordle since it can be viewed as an exponentially larger version of normal Wordle: Normal Wordle Hyper Wordle Secrets are chosen from the \(2315\) possible 5-letter secret words. 2315 secrets are chosen from the \(2315!\) possible permutations of 5-letter secret words. Each turn a guess is chosen from \(12972\) possible 5-letter words. Each turn 2315 guesses are chosen from \(12972^{2315}\) possible tuples of 5-letter words. Feedback is given in the form of \(5\) colored squares. Feedback is given in the form of \(5 \times 2315 = 11575\) colored squares. Your score is the number of 5-letter guesses needed to identify the secret. Your score is the total number of 5-letter guesses needed to identify each word in the secret permutation. Believe it or not, this is a real Wordle variant I ran into back in 2022 as part of a competition to see who could write the best Wordle solving program. Originally, the competition tested programs against a sample of 1000...