The wordle craze revolves around a word guessing game by Josh Wardle. It involves a mastermind-style puzzle game similar to Jotto, where the player makes guesses at a five letter secret word, and is given clues for each guess.
In wordle, clues are given for each letter of the answer. If the guess has a matching letter in the correct place, that letter in the guess is marked green. Otherwise if the guess has a matching letter or letters in another place, the first of those letters is marked yellow. For example, if the guess is 'geese' and the secret word is 'sheep', then the clue will be '-YGY-'
There is also a 'hard' mode in the settings, where guesses must fit with all the previous clues. Many people will naturally play this way.
The player is allowed up to six guesses to find the secret word.
The game allows most possible five letter words as guesses. In the original version, it uses a list of 12972 words for possible guesses, with a subset of the better known ones (and excluding plurals) of 2315 words for the answer list. This subset means the answer will never be an obscure word, and so makes it more accessible.
Since the answers are in a known order, you could argue that the best first guess is the answer of the day, but the fun of that wears off after the first time. It is of course more enjoyable to play the game as intended. And for the most enjoyment, write a computer program to solve wordle! At least, for some definition of the word 'enjoy' (which incidentally, spoilers, will be the secret word on day 500).
At each guess, the optimal is the one which will best reduce down the number of possible answers. But of course, some clues will narrow down the answers more than others, so it isn't always clear what is going to be 'optimal'.
Which strategy will give the best chance of an early win? Which strategy will minimize the number of guesses in the worst case? Which strategy will minimize the average number of guesses?
I've experimented with these, evaluating strategies across all the answers, under the assumption that each answer is equally likely (ie, that we don't know which day we are playing, so the outcome is not predictable).
Suppose we use all of the allowed words, even the obscure ones, and optimize for the average number of guesses. This means evaluating the best guess across all the possible scenarios. It turns out that the best starting word is 'salet', and the average is 3.421 guesses. Other starting words giving an average of less than 3.43 guesses are 'reast', 'trace', 'crate', slate', 'crane', and 'carle'.
If we narrow down our allowed guesses to just the 2315 possible answers, it is slower, but only a little. The strategy starting with 'slate' has an average of just 3.444 guesses, and there are some 90 other starting words which give an average of less than 3.5 guesses, such as 'trace', 'crate', 'crane', 'least', and so on. The least productive starting words are 'jazzy', 'mamma', 'fuzzy', and 'jiffy', but even with these, it is still possible to get to an answer in just over an average of 4 guesses.
If we play hard mode, with the additional constraint that we only allow answers as guesses, it begins to look more like how a human would play this game. Here the starting words are less clear, because it can be a disadvantage to know many letters too soon. The best is now 'plate' with an average of 3.554 guesses, followed by 'tripe', 'scale', 'train', and 'place'.
If we want to go for the quick win, then clearly we want a hole-in-one. But any word in the answer list can achieve that, it doesn't really matter which one. If we want to maximize the chance of a two word guess, then 'trace' is the best starting word, giving nearly a 6.5% chance of a two-word win in hard mode. And 'crate', 'slate', 'parse', 'stale', 'crane', 'heart', 'react', 'least', and 'cater' are notable, all giving at least a 6% chance of that impressive two-word win (and still the chance of a single word win).
Another question to explore; is there a single combination of words which could be played (in any order), and which would always reduce the possible answers down to one word? For example, guessing the four words 'farce', 'sight', 'downy', and 'plumb' will clue to a unique answer 94.4% of the time, while guessing the five words 'bawdy', 'rivet', 'slunk', 'champ', and 'forgo' will clue to a unique answer 98.7% of the time.
Alex Selby (sonorouschocolate) explores complete strategies using all the allowed words in both normal and hard mode, and also provides code to prove these. I have independently cross-checked many of these results.
Grant Sanderson (3Blue1Brown) explores entropy minimization, under the assumption of a modified game where all words are possible answers, but common ones are more likely. It is an elegant solution, since it requires less knowledge of the particular selection of answers. He does not exhaustively prove the best possible strategy, but uses calculation of the best reduction in entropy over the next two guesses to get a good approximation.
My own code uses a depth first search of all possible choices over all possible outcomes, pruning any solutions which will be worse than those found so far. An example strategy for hard mode using only the answer words (showing the guess number and clue, and the next word to be chosen) would be:
plate 1-----:churn 2-----:bosom 3-----:dizzy 4YG--G:giddy 4YG---:vivid 4-G--G:jiffy 4-GGGG:fizzy 3-G-Y-:goody 4-GGGG:woody 4-GG-G:woozy 4GGG-G:goofy 3-G---:foggy 4-G-GG:dodgy 4-G--G:dowdy 3GG-Y-:booby 4GGG-G:boozy 3-YY--:kiosk 3-GG-Y:mossy 3-GY--:soggy 3-G-YY:moody 3G----:biddy 3-YY-Y:smoky 3GG---:bobby 3-Y-Y-:ovoid 3--G-Y:missy 3--G--:sissy 3--Y--:skiff 3---G-:widow 3GGG--:bossy 3---GG:idiom 2----Y:doing 3--GGG:vying 4--GGG:swing 3--YY-:minim 4-GG--:kinky 3YY-Y-:synod 3-YYY-:inbox 3-YYYY:bingo 3Y-YY-:windy 3-Y-Y-:snowy 3GYYYY:dingo 3GG-G-:downy 3--GY-:sniff 3-YGGG:owing 3--YG-:ninny 3-G-YY:bongo 3-GGGG:going 3G-YYY:dingy 3-GGY-:noisy 3G-GGG:dying 2---Y-:groom 3-YY--:rowdy 4YGYGG:wordy 3-GGG-:brood 4GGGG-:brook 3YY-G-:vigor 4-GGGG:rigor 3-G---:brisk 4-GGGG:frisk 3-YGYY:roomy 3-GG--:dross 3-Y-G-:visor 3YYYY-:forgo 3YY---:rigid 3GGG--:gross 3GG--Y:grimy 3-Y---:risky 3-GGGG:broom 2--Y--:dummy 3-G--G:fuzzy 4-G--G:buggy 4GG--G:fussy 3-GGGG:mummy 4-GGGG:gummy 3-GG--:jumbo 4-GGGG:gumbo 3-GY--:buxom 3YGY-G:muddy 3GG--G:dusky 3YG--G:buddy 3-GY-G:musky 2---YY:bring 3GGGG-:brink 4GGGG-:briny 3-GGGG:wring 3-G-GG:wrong 3-GYG-:irony 3-G-G-:frond 3-Y-Y-:donor 3-GGGY:grind 3-YYY-:minor 3-GGG-:drink 2--Y-Y:using 3Y--G-:funny 4-GGGG:bunny 3G-GY-:unify 3Y-YYY:fungi 3YYYY-:minus 3G-YY-:undid 3YY-G-:sunny 3YYGGG:suing 3Y--Y-:funky 3YY-Y-:bonus 2--G-Y:swung 3--GG-:found 4-GGGG:mound 5-GGGG:bound 3G-GG-:sound 4G-GG-:skunk 3G-GY-:snuff 3-YGG-:wound 3--GGG:young 2--YY-:furor 3-GY--:rugby 4GG--G:ruddy 3GYGY-:forum 3-YG--:virus 3-GGGG:juror 3-GG--:murky 3-GYGG:rumor 2Y-Y--:quick 3-GYY-:music 3-Y-Y-:focus 3-GGG-:juicy 3-G-YY:mucky 3-G-Y-:mucus 3-YYY-:ficus 2---YG:groin 3-GG-G:frown 4-GGGG:drown 5-GGGG:brown 3-YYGG:robin 3-YY-G:moron 3GGG-G:grown 2---G-:dowry 3YYYG-:sword 3-G-GG:sorry 3-Y-GG:ivory 3---G-:smirk 3-GYGG:worry 3YY-G-:fjord 2-YY--:humid 3GG---:husky 4GGG-G:hussy 3GGG--:humus 3YG-Y-:sushi 3YG---:bushy 3YGY--:mushy 2G--Y-:crock 3GGG--:crowd 4GGG--:cross 3GG-GG:crick 3GGG-G:crook 2Y----:mimic 3----Y:scoff 3Y---Y:smock 3-G--Y:disco 2-G---:showy 3GGG--:shook 3YG-Y-:whisk 3-G-Y-:whiff 2----G:onion 3--YGG:bison 3YG--G:known 3Y--GG:swoon 2Y-YY-:scrub 3GGGG-:scrum 3GGYG-:scour 3-GYG-:occur 2-Y---:howdy 3Y-Y--:swish 3GG--G:hobby 3Y---G:fishy 2Y---Y:sonic 3-GGGG:ionic 3--YYY:icing 3-YY-Y:knock 2G----:civic 3G----:comfy 3G--GG:comic 2--GYY:round 3Y-GG-:wrung 3Y-GGY:drunk 2YYY-Y:hunch 3-GGGG:munch 4-GGGG:bunch 2G---Y:conic 3G-GGG:cynic 3GGG--:condo 2Y--Y-:frock 3-G-GG:brick 3-YYYY:rocky 2-Y-YY:horny 3GGYY-:honor 2--YG-:quirk 3-G-G-:furry 2GG---:chick 3GG-GG:chock 2YG---:shock 3-G-G-:which 2-YG--:bough 3-GGGG:dough 2-YGY-:brush 3-YG-G:rough 2-GYY-:shrub 3GGGG-:shrug 2-Y-G-:hydro 3YG-G-:myrrh 2YY--Y:winch 3-GGGG:finch 2-G--Y:whiny 3-GGGG:shiny 2GYG--:couch 3GGG-G:cough 2G--YY:corny 3GYYGG:crony 2G-YY-:curio 3GGG--:curvy 2--GY-:gruff 3-GG--:druid 2GY--Y:cinch 3G-GGG:conch 2-G--G:shown 2YY-Y-:birch 2G--YG:crown 2-G-YY:rhino 2-YG-Y:hound 2-G-G-:shirk 2YYG--:vouch 2-G-GG:shorn 2Y--G-:micro 2Y---G:scion 2G-YG-:curry 2G-Y--:cubic 2GYGY-:crush 2G-Y-G:cumin 2-GG--:shush 2YYY--:duchy 2Y--GG:scorn 2Y-G-Y:snuck 2--G--:squib 2--Y-G:union 2YGG--:shuck 2--GG-:gourd 2GGG-Y:chunk 2--GGG:mourn 2GGG--:chuck 2G-GY-:crumb 2Y-YYY:incur 2---GG:sworn 2-YY-Y:hunky 2-YYY-:humor 2-YYG-:hurry 2GG-G-:chord 2GG-Y-:choir 1----Y:drier 2---GG:newer 3---GG:cyber 4---GG:homer 5-G-GG:joker 5GG-GG:hover 5-Y-GG:offer 5Y--GG:usher 5-GYGG:mover 4--YGG:boxer 4-Y-GG:foyer 4--GGG:sober 4-YYGG:buyer 4G--GG:cover 3-Y-GG:cheer 4--YGG:ember 4-GGGG:sheer 4--GGG:queer 3--GGG:sower 4-GGGG:cower 5-GGGG:mower 3-GGGG:fewer 4-GGGG:sewer 3-G-GG:sever 4-GGGG:fever 3YY-GG:sneer 3GG-GG:never 3--YGG:wooer 3Y--GG:goner 3Y-YGG:owner 2---G-:semen 3---GG:woven 4-GGGG:coven 4GG-GG:woken 3---G-:covey 4-G-GG:gooey 3---GY:honey 4-GGGG:boney 3--GGG:hymen 4--GGG:women 3GG-GG:seven 3-Y-GG:queen 3GY-GG:sheen 3-Y-G-:cheek 3--YGY:money 3Y--GY:nosey 2---Y-:beech 3-Y---:enjoy 4GG-GG:envoy 3YY---:ebony 3--GYY:chess 3-GG--:geeky 3--GGY:check 3GG-GG:bench 3-G-GG:wench 3--G--:guess 3GGG--:beefy 3-YG--:enemy 3GG---:begun 3-G-Y-:gecko 3-G---:venom 2--YGG:finer 3-G-GG:miser 4-G-GG:giver 4-GGGG:wiser 3GG-GG:fixer 4GG-GG:fiber 3YYYGG:infer 3-GGGG:miner 3-YGGG:inner 3-GYGG:nicer 2-Y-Y-:serum 3-GG--:heron 4-GG--:jerky 3YGG--:verso 3-YY--:every 3YGYG-:rebus 3-GG-Y:mercy 3-YYY-:query 2-Y-GG:rover 3GG-GG:roger 4GG-GG:rower 3Y--GG:surer 3G--GG:refer 3YG-GG:corer 2Y--G-:unfed 3-G-GG:kneed 3GG-GG:unwed 3Y--GG:bused 3---GY:modem 3---GG:embed 2--GY-:feign 3-YGYY:eking 4G-GGG:eying 3-GGG-:weigh 3-GGGY:neigh 3-GGYY:being 2YG-G-:creed 3-GGGG:breed 4-GGGG:freed 5-GGGG:greed 2-Y-YY:ferry 3-GGGG:merry 4-GGGG:berry 3-GGY-:rerun 2Y--Y-:endow 3Y-Y-Y:weedy 3Y-Y--:seedy 3YYY--:needy 2--YY-:ennui 3YY--Y:begin 3Y---Y:sheik 2--YG-:given 3-G-GY:sinew 3-GYGG:vixen 2Y-YG-:index 3Y-GG-:video 3YYGG-:widen 2-YYY-:fiery 3YYYY-:serif 3-YYY-:resin 2G--Y-:demon 3GG---:debug 3GG-G-:decoy 2-Y-G-:shrew 3--YGG:renew 3G-GGG:screw 2Y--GG:udder 3G-GGG:under 3-GGGG:odder 2-G-Y-:fresh 3-GG--:wreck 3-GGG-:cress 2Y-YY-:fiend 3-YY-Y:medic 2-YYG-:risen 3YGYGG:siren 2YGGG-:fried 3-GGGG:cried 2-YYGG:river 3GG-GG:riser 2YY-Y-:nerdy 3-GYGG:reedy 2G--YG:demur 3GG--G:decor 2Y-YGG:wider 3-GGGG:cider 2G-YGG:diner 3GG-GG:diver 2GY-Y-:derby 3GGY-G:decry 2-GGG-:grief 3-GGGG:brief 2-G-G-:creek 3-GGG-:green 2Y-GG-:shied 2-GGGG:crier 2Y-GY-:edify 2G-YY-:denim 2-G-GG:freer 2G-GY-:deign 2YY-G-:rodeo 2-YGY-:reign 2YY-GG:ruder 2G--G-:dozen 2G-YG-:dicey 2G--GG:defer 2-G-YG:error 2GG-Y-:dress 2YYGY-:weird 2--GG-:chief 2--GGG:skier 2YYYGG:rider 2GG-GG:dryer 2YG-Y-:credo 2-Y-YG:recur 2---YG:femur 2GGGG-:dried 2YG-GG:order 1--Y--:manor 2-G---:basic 3-G---:gaudy 4-G-GG:daddy 4-G--G:jazzy 4-G--Y:kayak 4GG--G:gawky 3-GG--:sassy 4-GGGG:gassy 3GG---:baggy 4GG--G:bawdy 3-G--Y:wacky 4-GY-G:caddy 3-GYY-:daisy 3-GY-Y:saucy 3GGGG-:basis 3-GY--:savvy 3YG--Y:cabby 2-G--Y:hardy 3-GYY-:rabid 4GG-GY:radii 3-GY--:rabbi 3-GY-G:fairy 3-GYYG:dairy 3YGY--:rajah 3GGG-G:harry 3GGG--:harsh 3GGY-G:hairy 3-GG-G:carry 2GG---:mamma 3GG---:magic 3GG-GG:magma 3GGY--:maxim 3GGY-Y:madam 3GG--G:mafia 3GG--Y:macaw 3GGGG-:mammy 2-GG--:canny 3-GG-G:dandy 4-GGGG:handy 5-GGGG:sandy 3-GGGG:fanny 4-GGGG:nanny 3YGG-G:fancy 3GGG-G:candy 2-Y-YY:borax 3-GGG-:foray 3-YYG-:croak 3-YYY-:agora 3YGYY-:cobra 3GYYG-:broad 2-Y--G:cigar 3-Y-GG:briar 4-GGGG:friar 3YG-GG:vicar 3--GGG:sugar 3--GYG:augur 2-Y---:abyss 3G----:affix 3YY-Y-:scuba 3G-YYY:assay 3Y--Y-:squad 2-GY--:basin 3-GY-Y:sauna 3YG-GG:cabin 3-G--Y:fauna 2GGG--:manga 3GGGG-:mangy 3GGG-G:mania 3GGG--:manic 2-YYYY:acorn 3Y-GYG:groan 3Y-YYG:organ 3G-GGG:adorn 2YYYY-:nomad 3YYYY-:among 3YGGG-:woman 2-Y-GG:ardor 3GG-GG:arbor 3G--GG:abhor 2YY---:sigma 3YY-YY:amiss 3G--YY:sumac 2GG--Y:marsh 3GGG-G:march 3GGG--:marry 2-YY--:aging 3Y-GG-:china 3G-GY-:avian 2-Y--Y:array 3G-G--:acrid 3Y-G--:circa 2YY--Y:rumba 3YYYYG:umbra 3Y-Y-Y:scram 2-G-G-:bayou 3-G-G-:havoc 3-GYG-:savoy 2-Y-Y-:vodka 3-YG-Y:audio 3YYY-Y:avoid 2-G-GG:favor 3-G-GG:razor 3-GGGG:savor 2GG-Y-:macho 3GG--G:mambo 2-GY-Y:rainy 3YGGY-:cairn 2-GG-Y:randy 3GGG--:ranch 2GG-GG:major 3GG-GG:mayor 2YY-Y-:comma 3-G-GG:dogma 2YYY--:human 3--GYG:admin 2-GYG-:wagon 3-G-GG:bacon 2-YY-Y:angry 3YY-Y-:urban 2-G-YY:radio 3YG--G:cargo 2-GYGY:baron 3-GYGG:rayon 2-YYGY:arson 2-YG--:ninja 2-YGYG:sonar 2-YGY-:gonad 2-Y-GY:arrow 2-YGG-:annoy 2-G--G:radar 2-G-Y-:cacao 2YY-GG:armor 2-GY-G:nadir 2YY-G-:axiom 2YY-YY:aroma 2-GGY-:banjo 2YG---:gamma 2GGYG-:mason 2YG--Y:karma 2GY-Y-:mocha 2GGGY-:mango 2-GGG-:canon 2GG-YY:macro 2-Y-G-:cocoa 2-YYY-:agony 2-YYG-:axion 1----G:drone 2-Y--G:serve 3--Y-G:fibre 4---YG:rhyme 3-GG-G:eerie 4-GG-G:merge 3-GGGG:verve 3GYG-G:scree 3YGGYG:verse 3-YY-G:where 3Y-G-G:curse 3--GGG:curve 3YGY-G:reuse 3-GGYG:verge 3G-Y-G:shire 3G-G-G:surge 3-GYYG:revue 2---YG:since 3-GGGG:wince 4-GGGG:mince 3--GGG:fence 4-GGGG:hence 3-GG-G:hinge 4-GGGG:binge 3G-G-G:sense 3-YG-G:genie 3--G-G:venue 3-YY-G:knife 3GGG-G:singe 3-GYGG:niece 3Y-Y-G:ensue 3-GYYG:niche 2----G:segue 3Y--GG:issue 3GYY-G:siege 3YGY-G:geese 3--GGG:fugue 3-G--G:femme 3-Y--G:emcee 3GG--G:seize 3GY--G:sieve 3---GG:imbue 3-Y-GG:queue 3---YG:juice 3----G:chime 3Y-YYG:guise 2--G-G:moose 3--G-G:choke 4--GGG:evoke 3--GGG:chose 4-GGGG:whose 3-GGGG:goose 3Y-GYG:smoke 3--GYG:shove 3Y-G-G:biome 3-GG-G:booze 2-YY-G:forge 3-GG-G:worse 4-GGGG:horse 3-GY-G:rouse 3-GGGG:gorge 3-GYYG:rogue 3GGG-G:force 3-GYGG:rouge 3-YY-G:ombre 2Y---G:budge 3--GGG:wedge 4--GGG:midge 4-GGGG:hedge 3-GGGG:fudge 4-GGGG:judge 3-GYYG:guide 3--Y-G:chide 2--Y-G:mouse 3-GGGG:house 3-GY-G:vogue 3-Y-GG:obese 3-G--G:voice 3GG--G:movie 3-GG-G:gouge 2-G--G:grime 3-G-GG:creme 3-GGGG:crime 3-GG-G:bribe 2-Y-YG:genre 3--YYG:nurse 3-GYYG:nerve 3--GYG:rinse 2---GG:swine 3G--GG:scene 3G-GGG:shine 3-YGGG:whine 2-YG-G:chore 3Y-GGG:score 3-GGGG:shore 3--GGG:swore 2Y--YG:undue 3-GY-G:snide 3YYG-G:nudge 2--GGG:scone 3G-GGG:shone 3--GGG:ozone 2-GG-G:grove 3-GG-G:broke 4-GG-G:froze 2--YYG:ounce 3Y-Y-G:noise 2YG--G:bride 3-G-GG:crude 2-G-GG:brine 3-GGGG:urine 2--GYG:gnome 3-YG-G:noose 2G--YG:dunce 3G-G-G:dense 2GGG-G:drove 2G---G:deuce 2YY--G:ridge 2GG--G:drive 2YGG-G:erode 2G-G-G:diode 2-GGGG:crone 2Y-Y-G:oxide 2G-Y-G:dodge 2GY--G:dirge 2YYY-G:horde 2--YGG:ovine 2-YYGG:borne 2-YGYG:snore 1---Y-:snout 2----Y:hitch 3-GGGG:ditch 4-GGGG:witch 3-GY--:timid 3YYYG-:thick 3YYYY-:itchy 3YYY-G:thigh 3YYY--:third 3-YYG-:trick 2--Y-Y:motor 3-GY--:toxic 4GG---:toddy 3--YGY:throw 4GGGG-:throb 3-GGGG:rotor 3-GY-Y:torch 3GGG--:motif 3-GG--:botch 2----G:drift 3--Y-G:might 4-GGGG:wight 5-GGGG:tight 3--G-G:twixt 3-YY-G:right 3--YYG:fight 3G-Y-G:digit 2--YYY:outgo 3YYYG-:tough 3YGG--:tutor 3YGY--:tumor 3GGG-G:outdo 3YYY--:touch 3-GY-G:turbo 2Y---G:first 3--YGG:tryst 3-Y-GG:twist 3-G-GG:midst 3-G-YG:visit 3-YYGG:wrist 2G-G-Y:stork 3GGGG-:story 4GGGG-:storm 3GGG--:stood 4GGG--:stoic 3GGG-G:stock 2---YY:thumb 3YYY--:dutch 4-GGGG:hutch 3G-G--:truck 3YYY-Y:butch 2Y-Y-G:moist 3-GGGG:hoist 4-GGGG:joist 5-GGGG:foist 3-G-GG:worst 2G---G:shift 3G-G-G:skirt 3GYY-G:sight 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