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Many years ago I investigated [1] the problem of Rush Hour with minimal size cars. I called it Unit Rush Hour, as the cars are just 1x1, but restricted to either horizontal or vertical movement. Interestingly, the puzzles can also be viewed as a kind of maze with restricted movement. My web page has the hardest 4x4 and 5x5 instances in playable form. I found the hardest 6x6 puzzle to require a whopping 732 steps [2].

[1] http://tromp.github.io/orimaze.html

[2] http://tromp.github.io/rh.ps




The link to the "famous 15 puzzle" is dead fyi http://bd.thrijswijk.nl/15puzzle/15puzzen.htm


Thanks for pointing that out. Should be fixed now.


Nice! I like how the piece directions are indicated in the GIF.




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