First off, let's look at the constraints on the problem. You want to store a word list for a game in a data structure that efficiently supports the "anagram" problem. That is, given a "rack" of n letters, what are all the n-or-fewer-letter words in the word list that can be made from that rack. the word list will be about 400K words, and so is probably about one to ten megs of string data when uncompressed.
A trie is the classic data structure used to solve this problem because it combines both memory efficiency with search efficiency. With a word list of about 400K words of reasonable length you should be able to keep the trie in memory. (As opposed to going with a b-tree sort of solution where you keep most of the tree on disk because it is too big to fit in memory all at once.)
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A trie is basically nothing more than a 26-ary tree (assuming you're using the Roman alphabet) where every node has a letter and one additional bit on each node that says whether it is the end of the word.
To store your trie on disk -- frankly, I would just store the word list as a plain text file and rebuild the trie when you need to. It shouldn't take more than 30 seconds or so, and then you can re-use the trie in memory. If you do want to store the trie in some format that is more like a trie, it shouldn't be hard to come up with a serialization format.
What you do instead is you build a trie data structure out of the dictionary (or, if you're really buff, you build a dawg -- a directed acyclic word graph -- which is a sort of compressed trie.)
Once you have a trie/dawg it becomes very inexpensive to test every word in the dictionary against a given rack, because you can "prune out" whole huge branches of the dictionary that the rack cannot possibly match.
Let's look at a small example. Suppose you have the dictionary "OP, OPS, OPT, OPTS, POT, POTS, SOP, SOPS, STOP, STOPS" From that you build this trie: (Nodes with a $ are those that are marked as "word can end here".
First you say "can I go down the O branch?" Yes, you can. So now the problem is matching "PS" against the O branch. Can you go down the P subbranch? Yes. Does it have an end-of-word marker? Yes, so OP is a match. Now the problem is matching "S" against the OP branch. Can you go down the T branch? No. Can you go down the S branch? Yes. Now you have the empty rack and you have to match it against the OPS branch. Does it have an end-of-word marker? Yes! So OPS matches also. Now backtrack up to the root.
You see how this data structure makes it very efficient? Once you have determined that you do not have the letters on the rack to make the beginning of a word, you don't have to investigate any dictionary words that start with that beginning. If you have PO but no T, you don't have to investigate POTSHERD or POTATO or POTASH or POTLATCH or POTABLE; all those expensive and fruitless searches go away very quickly.
This is the basic algorithm that professional Scrabble AI programs use, though of course they also have to deal with things like board position, rack management and so on, which complicate the algorithms somewhat. This simple version of the algorithm will be plenty fast enough to generate all the possible words on a rack.
You can optimize the memory usage by building a DAWG out of the trie. Notice how there is a lot of repetition because in English, lots of words end the same, just as lots of words begin the same. The trie does a great job of sharing nodes at the beginning but a lousy job of sharing them at the end. You can notice for example that the "S$ with no children" pattern is extremely common, and turn the trie into:
Create a table with a column for the word, plus 26 columns (one for each letter)Run a stored proc/backend process that counts the occurences of each letter in a word, and puts them into the appropriate column.
We found 257 words by unscrambling SENEROLOS, but we aren't displaying them all. For this randomly chosen word,we only loaded the words with the most letters. If you would like to see all unscrambled words, click here tounscramble SENEROLOS. We will display a list of all of the unscrambled words.
Please don't consider this word scramble solver a CHEAT; Our unscrambler will HELP you learn how tounscramble letters & make words in Scrabble, Words With Friends, Text Twist, and any word scramble game!
Above are the words made by unscrambling S E N E R O L O S (EELNOORSS).Our unscramble word finder was able to unscramble these letters using various methods to generate 257 words! Having a unscramble tool like ours under your belt will help you in ALL word scramble games!
You need to unscramble words, huh? It doesn't matter which word scramble game you are playing; Scrabble, Words With Friends, Text Twist, or the Daily Word Jumble, the same basic rules apply. You have to unscramble the words to win the game.Word scramble games are an excellent way to pass the time. Young kids, young adults, mature adults, and grandparents all love these types of crossword puzzle style games.There is no age restriction! A Word puzzle game is an easy way to boost your vocabulary and increase your intelligence by challenging yourself daily.
If you are ever wondering, "How can I find words with these letters in them?" then a word unscramble tool is just what you need.Our word finder unscrambles letters to make words & saves you the frustration of being stuck on a word or level in an otherwise fun word game.
You can unscramble long words (up to 20 letters), choose the starting, ending letters, and containing letters. Customizing your search makes it easier to place your tiles when playing scrabble and words with friends. It also helps with the daily jumble.
Unscrambling letters to make words is a little different than unscrambling a word. A set of letters may or may not have an exact anagram made from unscrambling all the letters. Unscrambling a wordalways gets you an exact anagram. I am referring to an exact anagram as a word that uses ALL letters of the scrambled letters.
Take these two sets of letters: aetch and abcfaadt. The first one is a scrambled word... it unscrambles to CHEAT. The second one is scrambled letters.The best you can do is unscramble the letters to make words, such as tab, fact, cab, and so on.
See the difference? It is only a minor difference, and it is very subtle.However, our word scramble solver does unscramble words and unscramble letters just as quickly, and of course, it works in scrabble and words with friends.
Our Word scramble solver is purposely simple to use. Our goal is to help you unscramble words, unscramble letters, and solve anagrams. You can also unscramble long words, up to 20 letters. Our word unscramble tool will help you in countlessword scramble games where words should be unscrambled, such as Scrabble , Words With Friends, Jumble, Text Twist, Wordscapes, Word Cookies, Word Chums & more. We don't consider this a cheat, everyone needs a little help now and then, and oursite is designed just for that, help!
We make unscrambling multiple words easy as well. With our multiple word unscrambler toolyou can unscramble multiple words, phrases, and sentences.Enter all letters in the search box and pick out the words that make sense.
Also see our multiple word anagram solver.
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Ā Use the single word Ā Anagram Solver tool above to find every anagram possible made by unscrambling some OR all your letters in the word entered.
This solver will return every possible word from your intial target word. In addition you can use a "?" for an unknown letter, and it will include all results assuming the ? could be any letter in the alphabet. You can access this without moving to the advanced options. In the advanced options dropdown, you will notice the ability to add extra letters to the solver. For instance, say you want your result to begin with the letter "P" - in this case, you can enter the letter P in the additional letters section and the results will contain those.
Our Scrabble Helper can be used for many word based puzzle games such as Scrabble Grams, Words with Friends, Draw With Friends, 4 Pics 1 Word, Wordfeud and Scrabble Go. Our Wordle Solver will help you find today's word.
Alfred recognised that the issue with most word games at the time, and the reason they weren't as popular as card games, is that there was usually no way to keep score. So, players weren't able to know who was winning, and thus quickly got bored.
As such, he analysed existing word games and came up with his own unique version, which he first named LEXIKO, then later Criss Cross Words. Using the front page of the New York Times, or so it's said, he came up with word combinations that he felt should score highly on his new game.
Combining his love of classic word games with the best attributes of card games and crossword puzzles, Alfred worked hard to create a unique game board with hundreds of word options and an innovative scoring system to make it competitive and intellectually stimulating for players of all abilities.
His creation was the basis for the popular game we know and love, but initially it was rebuffed by major gaming manufacturers, who didn't see the appeal of a word game like this and weren't eager to invest.
Today, Scrabble is as well-known as classics like chess and the crossword puzzle, and the game has been played around the world. Over the years, it has risen to become one of the most popular word games in existence and has been launched online as well as in physical form. There are even clubs and organisations dedicated to providing Scrabble Help to word game players to enhance their word game skills.
It's enduring global popularity means that Scrabble is now a classic word game enthusiasts love, and it has inspired many other similar word games. Millions of related products, including multiple dictionaries and many word finders like ours have been developed as a result of this popular word game. 17dc91bb1f
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