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Old 2022-11-29, 20:39   #12
oreotheory
 
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May 2022
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You're not sorting the numbers, just adding them to the end of the sequence one by one. So first you have 1,2; 1,2,3; 1,2,3,5; etc. so at each point it has to work. Lexicographically earliest infinite sequence of distinct terms means in dictionary order (so 1,2 is earlier than 1,3) and it has to be a sequence that can go on forever. Plus no terms are repeated.
With the unidirectional version, clockwise, it should start something like 1,2,4,7,3,9... Counterclockwise, I've only worked out 1,2,5,3... so far
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