Solving the subsets problem with dynamic programming

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In this video I demonstrate dynamic programming by using it to solve a math problem: how many subsets of {1,…,2000} have a sum divisible by 5?

Along the way we'll talk about phrasing a problem as a recurrence and using optimization techniques like memoization or solving the subproblem first to get an efficient runtime for the algorithm.

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Nice video
Does python have tail-recursion optimization with trampolining ? If not, the space complexity of the naive algorithm should include the maximum stack size which is O(n) since it will recur to a max depth of n. (Since you had to increase the max recursion depth by hand in the memoization algorithm, I assume TRO is not in effect here)

davidstigant

I believe there is not enough algorithmic cohesion so solve the subsets so they can be used in SD effectively

SuperMarsovec

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