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Need Help in resolving TLE in DP with memo and iterative.
By Codeforcer, history, 4 years ago, In English

Why do some solutions containing dp with memoization result in TLE but the same iterative version always passes? I have had this doubt for quite a while.

For example this problem : https://mirror.codeforces.com/contest/628/problem/D

DP+Memo->TLE

Checking the editorial they have done the same thing just iterative.

So my questions are this :

->What should be a good practice to write dp memoized or iterative?

->Can every memoized dp problem be converted to iterative ?

->What exactly goes wrong with memoized versions getting TLE'd ?

->How to resolve such TLE's ?

Thanks!

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4 years ago, # |
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state of your dp is kind of $$$O(n^2)$$$ and for each state you are running a loop which is $$$O(n)$$$ and hence total time complexity would be $$$O(n^3)$$$ which will result in TLE. Editorial solution is $$$O(n^2)$$$. So you might optimize your recursive dp or it might not be possible to do so in recursive. Also using recursive/iterative depends on the problem and the observations you have made.

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4 years ago, # |
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You're passing string x by value, it creates a copy everytime

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    4 years ago, # ^ |
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    this is definitely it.

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    4 years ago, # ^ |
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    Wow I thought it was ok to just pass strings and arrays like that..that definitely worked and also ended up a bit faster then the iterative version lol...thanks to you!

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      4 years ago, # ^ |
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      it's ok to pass arrays. it just sends the pointer

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    4 years ago, # ^ |
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    Also I read somewhere that the order in which matrices are multiplied matters a lot when accessing memory, so how to decide which dimensions to put first in dp ?

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