How A* is so optimal? - Learning How AI works in Harvard's EAD

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A* is a type of search algorithm that works based in the Heuristic function and the cost to get the current node (𝒉(𝒏)+𝒈(𝒏)).
with this little bit of math our AI can not just make an informed decision on what should be our next node but also if the path it's taken is the optimal one, even if the Heuristic function is lower.

Harvard's EAD (the one I am learning from):
https://learning.edx.org/course/course-v1:HarvardX+CS50AI+1T2020/home

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