What is memoization in dynamic programming?
Memoization is an optimization technique used in dynamic programming to store the results of expensive function calls and reuse them when the same inputs occur again.
Can you give me an example of how memoization works?
Sure! For instance, in calculating Fibonacci numbers, instead of recalculating Fibonacci(n) multiple times, we store the results of Fibonacci(n-1) and Fibonacci(n-2) after computing them the first time.
How does memoization improve performance?
Memoization reduces the time complexity from exponential to linear in many cases by avoiding redundant calculations, thus speeding up the algorithm.
Are there any downsides to using memoization?
Yes, memoization can increase space complexity due to the storage of results, and it may not be suitable for problems with a large number of unique inputs.
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