combinatorics - Draw a line through all doors - Puzzling Stack Exchange

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I saw the following problem on 4chan and couldn't solve it: It's very likely to be some kind of troll (no solution). I'm hoping to see some rigorous proofs that disprove the existence of such a l
combinatorics - Draw a line through all doors - Puzzling Stack Exchange
100 prisoners problem - Wikipedia
combinatorics - Draw a line through all doors - Puzzling Stack Exchange
soft question - How would you have answered Richard Feynman's
combinatorics - Draw a line through all doors - Puzzling Stack Exchange
Entropy, Free Full-Text
combinatorics - Draw a line through all doors - Puzzling Stack Exchange
Noncommuting conserved charges in quantum thermodynamics and
combinatorics - Draw a line through all doors - Puzzling Stack Exchange
Solutions to puzzles 501-750
combinatorics - Draw a line through all doors - Puzzling Stack Exchange
What is the toughest puzzle book? - Quora
combinatorics - Draw a line through all doors - Puzzling Stack Exchange
Games Dr Eric Silverman
combinatorics - Draw a line through all doors - Puzzling Stack Exchange
combinations - Find the number of routes - Mathematics Stack Exchange
combinatorics - Draw a line through all doors - Puzzling Stack Exchange
Graph Theory: An Extensive Overview Beyond the Fundamentals
combinatorics - Draw a line through all doors - Puzzling Stack Exchange
Contribution of Cotranslational Folding Defects to Membrane
combinatorics - Draw a line through all doors - Puzzling Stack Exchange
Combinatorial encoding of odors in the mosquito antennal lobe
combinatorics - Draw a line through all doors - Puzzling Stack Exchange
trigonometry - 2018 January Challenge: Prove inequality in
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