Refdash Demystifying Interviews - Dynamic Programming
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We will dig into a few concrete dynamic programming problems and speak about the steps that you should take when solving them. The session will be a good opportunity for everyone to consolidate their understanding of dynamic programming.
PROBLEM STATEMENT:
Do you know what hippity hop is?
For those who don't know, here is a short video:
• Hippity Hop Race
Now in this problem, we're on this crazy jumping ball, trying to stop, while
avoiding spikes along the way.
Here are the rules:
1) You're given a flat runway with a bunch of spikes in it. The runway is
represented by a boolean array which indicates if at a particular (discrete)
spot there is clear of spikes. It is True for clear and False for not clear.
2) You're given a starting speed. A speed at any given point indicates how
much you will move in the X direction with the next jump.
3) Every time you land on a spot, you can adjust your speed by up to 1 unit
before the next jump.
4) You want to safely stop anywhere along the runway. However, if you land on a
spike, your crazy bouncing ball bursts and it's game over.
Find a path to a stopping point along with actions that we need to take at each
of the landing spots.
__ _| __ ___ ___ _| __ ___ _| ___ ___
True False True True True False True True False True True
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