Why memoization needs more states than tabulation?

Revision en2, by Its_Saikat_19, 2024-02-22 12:47:57

Is there any case where memoization approach requires more states than tabulation?

I have heard that tabulation and memoization only differs by some memory efficiency and time efficiency.

But now I am facing a problem where the tabulation solution only needs a state, "amount". I tried to implement it using memoization but there I must keep track of the "index", otherwise it gives wrong answer.

problem link: https://cses.fi/problemset/result/8535002/

tabulation solution (accepted) : https://cses.fi/problemset/result/8535217/

And it is clear that memoization not only needs extra state here but also is impossible with the given constraints. Because it needs a 2D dp array with n * x size, so I do not have any submission link for memoization.

Tags dp problem, memoization

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en4 English Its_Saikat_19 2024-02-25 14:09:54 321
en3 English Its_Saikat_19 2024-02-25 14:04:27 54
en2 English Its_Saikat_19 2024-02-22 12:47:57 196
en1 English Its_Saikat_19 2024-02-22 12:39:52 618 Initial revision (published)