Cracker Barrel peg game, part 2

Hey, remember that post a few days ago about the Cracker Barrel peg game? Right at the end, I mentioned that there would be a part two, all about how to bend the puzzle at least a bit to your advantage. Basically, rather than finding the first solution to the peg game, we’re going to find all of them. From there, we can determine which moves are easier to win from, which are harder, and which are downright impossible. Let’s do it!

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Amicable chains

Mathematicians are an odd bunch. Names for just about everyhing. There are amicable numbers and perfect number, sociable number and betrothed numbers. There are sublime number, frugal number, and quasiperfect number. Heck, there are powerful number, smooth number, and even sphenic numbers. Rather a lot to deal with all told… So let’s just focus on two of them: perfect numbers and amicable numbers.

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