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Question 2. There are only two buttons inside an elevator in a building with 50 floors....

Question 2.

There are only two buttons inside an elevator in a building with 50 floors. The elevator goes 11 floors up if the first button is pressed and 6 floors down if the second button is pressed. Using dynamic programming methods to answer the following questions. Is it possible to get from floor 27 to floor 29? (5 points) What is the minimum number of buttons one has to press to do so? (10 points) What is the shortest time one needs to get from floor 27 to floor 29 (time is proportional to the number of floors that are passed on the way)? (10 points)

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