Long walk at a museum

Probability Level 3

This is the map of a modern art museum. Tran Quoc Dat, a brilliant tourist want to visit all the rooms of the museum. Can he make his path? If not, what is the maximum number of rooms can he visit?

Details and assumption:

  • Every room has 4 doors which lead to 4 directions

  • If your answer is Yes, type the answer as 0(zero)

  • He could walk in the museum only once


The answer is 22.

Minh Nguyễn Quang by Minh Nguyễn Quang , 25, Vietnam

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1 solution

I think you need to add a condition "he could walk in the museum once". :)

P.S. Sorry if I'm understanding wrong. I answered 22, by drawing attempts.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

That's my fault, thanks. And you must prove there are no path that go through 23 rooms, by coloring the map black and white. Drawing a 22-room path just like showing where the equality holds when you solve inequalities.

Minh Nguyễn Quang - 5 years, 1 month ago

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Thanks again!

Guntitat Sawadwuthikul - 5 years, 1 month ago

Admiring your talent in making new things base on old ones.

Tran Quoc Dat - 5 years, 1 month ago

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