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1$\begingroup$ Hey ! I have a question : did you already ask this puzzle with a picture/diagram/visual help ? If yes, did it help them ? Like they found quickier than without ? Other question : why 2001 ? :D $\endgroup$– NeytCommented May 28, 2020 at 9:53
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1$\begingroup$ You should probably specify a bit on the N/S hallways, and explicitly make them all the exact same length (instead of "about half an hour to walk"). Because I was stymied with the thought: what if the escape hallway was 20 feet shorter than the rest and had a ladder leading upward to freedom. Which makes solving the problem optimally pretty much impossible. $\endgroup$– KevinCommented May 28, 2020 at 15:06
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3$\begingroup$ @Neyt Nope, I haven't posed this puzzle to anyone before. The number is 2,001 because that's a number that works :) $\endgroup$– Tanner SwettCommented May 28, 2020 at 15:53
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1$\begingroup$ @Kevin Hmmmm, I don't quite understand your scenario and how it makes the problem more difficult. Maybe you could explain it in more detail in a chat room? $\endgroup$– Tanner SwettCommented May 28, 2020 at 15:55
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1$\begingroup$ Not sure how to open a chat room (or if I have the reputation for it.) I'll just put it this way: what happens when corridors #X and #X+2 connect to a room at the long end of the hallway, and corridor #X+1 stops short of reaching that room - instead, ending with a ladder that leads to freedom. The corridor lengths need to be defined explicitly equal instead of with "eh, about ABC long" to prevent that possibility. $\endgroup$– KevinCommented May 29, 2020 at 13:08
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