Why memoization needs more states than tabulation?

Правка en3, от Its_Saikat_19, 2024-02-25 14:04:27

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/task/1636/

tabulation solution (accepted) : https://cses.fi/paste/d2e2d0644e0a8603822f62/

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.

Теги dp problem, memoization

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