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A noob wants to know

I've dedicated my time to super mario lately, so eventually I ended up watching some speedruns. So I thought to myself, how could one calculate the perfect set of minimal ingame movement. I considered comparing the time needed to pass to a certain point, for example if there are two paths to take. If i wanted to write a Programm to measure and calculate those values for me, how would I proceed? What knowledge would I have to earn?