Side note: If you know a better way to describe an anagram that doesn't use all the letters except for "words within the word" or some other lengthy phrase, please let me know. I considered asking over at [English Language & Usage](https://english.stackexchange.com/) but decided against it.

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**ORIGINAL IDEA:** I had an idea for a puzzle that would be a challenge to find the word with the most other words within it. You didn't have to use all the letters in the original word and you couldn't use any letter more than the number of times it appeared in the original word. For instance, `HELICOPTER` contains all the letters for `CLOTH` but not `HELLO` because that would require using the same `L` twice. Imagine that someone gave you refrigerator magnets with each magnet having a single letter on it. They spell a word with the magnets and you can then pick any number of the magnets they used and rearrange them to make a new word. To normalize the scoring, the points for each word would be $\frac{\text{Number of words made from the word}}{\text{Number of letters in the word}}$. The highest scoring word would have lots of words from few letters and, therefore, would be very **dense**.

**THE PROBLEM WITH THE ORIGINAL IDEA:** If you start with the largest words you can find, there are *so* many words you can make from them that their scores are probably the best you're going to get.

**NEW IDEA:** Try to find the **sparsest** word possible. The ideally sparse word would be very long but there would be very few words you could make from those same letters.

**Guidelines / Rules:**

1. The score for each word will be $\frac{\text{Number of letters in the word}}{\text{Number of words made from the word}}$
2. The word with the highest score wins.
3. All words must appear in [Litscape's Mammoth Uncensored](http://www.litscape.com/words_mammoth_uncensored/word_lists.html) word list.
4. All words made from your word must be found by the [Words Containing Only](http://www.litscape.com/word_tools_mammoth_uncensored/words_out_of_these_letters.php) tool on Litscape.
5. The Litscape tool can only handle words up to a length of 30 characters but I suspect this won't be an issue since the highest scoring word is likely to be shorter. I checked all the words in Litscape that were 30 characters or more and the highest sparseness score was `0.00807537`. For a comparison, `bob` has a score of `3.0`.
6. You are allowed to disparage my choice of dictionary tools. (Yes, SCOWL is very neat but there isn't a ready online tool I could find to find words in the word based on SCOWL's )

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**Bonus Round:** Can you find a word that is even more **dense** than `hippopotomonstrosesquipedaliophobic`? Its Density Score is `1,514.46`. I had to create my own tool for this check since Litscape couldn't process it so you are allowed to create your own as well. You still have to use [Litscape's Mammoth Uncensored](http://www.litscape.com/words_mammoth_uncensored/word_lists.html) word list, though.