LIS is a classic DP problem asked by Google, Amazon, and Microsoft. Your interviewer tests whether you can define state as "ending at position i." The optimization shows advanced problem-solving. Not every interviewer expects it, but knowing it sets you apart. Related problems: Longest Increasing Path in Matrix, Russian Doll Envelopes.
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$ curl repovive.com/roadmaps/maang-interview-prep/dynamic-programming/lis-why-this-problem
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