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Puzzle 15.  DOUBLET

Doublet is a game Lewis Carroll, author of Alice in Wonderland, invented.  The object of the game DOUBLET is to change a word into another word by successively changing only one letter at the time to form an intermediate valid word.   For example, the following process changes the word HIT to OUT:

H I T
H A T
O A T
O U T

Using similar process, change the words

 

 

B U S H

TO

G O R

E

 

 

G O R

E

TO

B U S H

 

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Bits and Beyond...

Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we have reason to believe that it is a mystery into which the human mind will never penetrate.

                         Leonhard Euler