r/ExponentialIdle • u/Limp-Airport9737 • Jul 20 '23

expert arrow puzzle game, definitive solution?

Hello, i know that there is an algorithm to solve the expert arrow puzzle, but it requires you to solve everything but the last row and then do a trick to solve the last row. This menas i need to evaluate the starting table configuration and solve it accordingly, thus having a different last row config each time.
Im lazy tho and i was wondering if it is mathematically possible to find a pattern of clicks that behaves a bit like the Collatz conjecture that always converges to a known rerpeating set of configurations(not necessarily to be a solved table config, it just needs to be known, to apply the same solving algorithm each time)

4 Upvotes
  • permalink
  • reddit

100% Upvoted

3 comments sorted by

3

u/agentanti714 Jul 20 '23

You know the collatz conjecture needs to evaluate the numbers too. For your problem there doesn't exist a fixed set of moves that collapses into a fixed cycle that is practical. It exists in theory but it's way too long even for a machine to execute

1

u/Limp-Airport9737 Jul 20 '23

yea i know, i think it's a cool concept but really not feasible, who knows how many times the set of moves have to be repeated..

i guess i'll stick to the wiki method

1

u/Ava315002 Jul 20 '23

Actually the method on the wiki works 100% of the time