How to solve different types of DP problems asked in coding interviews

How to solve different types of DP problems asked in coding interviews?
This article is for folks beginning on advanced algorithm study (post-college DSA);
or anyone who used to solve DP problems after DP problems without really it clicking in their head, who would see a solution and wonder "how the heck did they come with that solution..."
Dynamic Programming is one of the most asked problem types in coding interviews for the reasons:




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