This is a variation of Elite Etile.

Consider all possible valid English words having at least 3 letters and at most 13 letters that satisfy the following conditions:

• Each word ends with a letter that immediately follows the letter that the word begins with. (For example, if a word begins with c it must end in d), and:
  
• Reversing the letters we obtain another valid English word, and:
• None of the words can be proper nouns, acronyms or abbreviations, and:
• None of the words can be hyphenated like A-bomb, X-ray etc.

What is the longest word that satisfies all the given conditions? What are the respective first word and the last word appearing alphabetically? Does there exist any valid English word having more than 13 letters that satisfies all the conditions?

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Posted by Kai Provan on 2021-06-10 01:11:13