Years ago I invented a word game. It involves the letters of a word and rearrangements. The rule is: you start with a word, say like abc. Then you rearrange by the rule abc -> bca -> cab All must be words. Example: tea -> eat -> ate I could find only three such three-letter words, and one is a stretch. The first is "tea," the second is "spa," and the third is "one." Therein lies the stretch: eon -> one -> neo. "Neo" is kind of a word. I never could find a four letter word, abcd, wherein abcd ->bcda -> cdab -> dabc are all words. Can you? Well, if you wish to stretch real words a bit, try "haha" -> "ahah" and so on. You know both words, the second is one of those a-hah moments. I can find four-letter words where there are four rearrangements of the letters, each making words. Example: team -> meat -> mate -> tame There are others. This is not truly a problem. ...
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