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 [quote="Ghost Post"]Every room had a doorway to all the adjacent rooms, plus one to the outside. This billionaire wanted to be able to walk through every doorway exactly once- not missing any doorway, or going through any doorway twice. - Quoted exactly From the outside enter room D From room D enter door on adjoining wall to room E Exit room E through outside door Enter room C through outside door From room C enter door on adjoining wall to room E From room E enter door on adjoining wall to room B From room B enter door on adjoining wall to room D From room D enter door on adjoining wall to room A Exit room A through outside door Enter room B through outside door ~Each doorway passed through only once each ~Just one of the ways it could be done [/quote]
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CrystyB
Posted: Wed Jan 31, 2001 12:14 pm    Post subject: 1

That was the whole problem with the INITIAL gates: within any Euclidian geometry, if you have a graph with more that two nodes (vertex) with an odd number of arcs (doors in this case), you CAN'T pass through it like the problem wants.
Ghost Post
Posted: Fri Jan 26, 2001 9:58 am    Post subject: 0

Well it seems that I have forgotten two doors.
Ghost Post
Posted: Fri Jan 26, 2001 9:56 am    Post subject: -1

Every room had a doorway to all the adjacent rooms, plus one to the outside. This billionaire wanted to be able to walk through every doorway exactly once- not missing any doorway, or going through any doorway twice.
- Quoted exactly
From the outside enter room D
From room D enter door on adjoining wall to room E
Exit room E through outside door
Enter room C through outside door
From room C enter door on adjoining wall to room E
From room E enter door on adjoining wall to room B
From room B enter door on adjoining wall to room D
From room D enter door on adjoining wall to room A
Exit room A through outside door
Enter room B through outside door
~Each doorway passed through only once each
~Just one of the ways it could be done