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Problem #1

As I promised, this is the first SFP

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In a remote island, the language used by the locals only uses seven letters:
A, B, C, D, E, F, G.

We say that two words are synonymous if we can transform one into the other according to the following rules:

Rule 1. You may change a letter into two letters in the following way:
A --> BC, B --> CD, C --> DE, D --> EF, E --> FG, F --> GA, G --> AB.

Rule 2. If a letter is between two equal letters, the two equal letters can be removed. For example, DFD --> F.

For example, BED is synonymous with BEEF by Rule 1; BABE is synonymous
with AE by Rule 2.

Show that all words in this language are synonymous.
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Good luck~

Comments

  1. kalau kau nak aku jawab mmg tak aaa kan. aku nak kasi kau soklan baru jee. muahahaahahaha!

    http://pages.intnet.mu/rasputin/trivia.htm

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