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There is an interview question as following:
There are 17 rooms line up from 1 to 17. There is a princess who start at a room, then every night she will move to the room next to the previous one (i.e, she has to move to the left or right room - she cannot say at the same room).
You are a beast who has to find the princess to be back a prince. Every night, you can open one and only one room to check if the princess is inside or not. You have 30 nights to find the princess, otherwise ... boom!
Below is the number of the room the beast (or the future prince) should follow to check during 30 nights:
2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2
Explaining why it is a good strategy might be an interesting task for the reader.
I wrote a small application to simulate this strategy at: http://www.codeskulptor.org/#user38_wKWpYR0yZ3_2.py
Probably you cannot run the simulation online, but you can get the Python code and try in your computer.
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