Grokking Dynamic Programming Patterns for Coding Interviews
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John Snow
TOP-DOWN MEMORIZE (FIBONACCI)

John Snow

Aug 3, 2025

in the top-down memorize approach you have an example to cache overlapping problems which processed in the calculateFibonacci method.

Could you clarify why you initiated a memoize array with length is n + 1 instead of n?

Thank you for your support!

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Characteristics of Dynamic Programming

Overlapping Subproblems

Optimal Substructure Property

Top-down with Memoization

Bottom-up with Tabulation