dsanurag520's blog

By dsanurag520, history, 2 months ago, In English

I am fairly new to codeforces. I wrote a recursive dp using python but I got a run time error on the 9th test case when the input is big. I am not able to figure out the error

For context, problem : problem my solution : solution

I even set recursion limit to 100000, but it doesnt seem to get rid of the error. Any help would be appreciated!

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2 months ago, # |
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learn c++

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2 months ago, # |
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Here is one previous such question: https://mirror.codeforces.com/blog/entry/80158

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    2 months ago, # ^ |
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    How do I add @cache decorator after I have added the @bootstrap decorator? It doesnt seem to work.

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      2 months ago, # ^ |
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      No idea about bootstrap. Note however that the issue is solvable without it.

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        2 months ago, # ^ |
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        yeah I realised I can solve the problem without using dp However I did try memoization and python gave me TLE (using bootstrap) — python The same solution written in c++ passed — c++

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          2 months ago, # ^ |
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          Looks like the number of states for memoization is $$$n \cdot 2 \cdot 2 \cdot 2$$$, where $$$n$$$ is up to $$$10^5$$$. Well, that's $$$800\,000$$$ states, which are not fast to put into a map, even with a compiled language, as you can see.

          Note: the hash you use in the C++ submission is bad. It literally gives the same result for quadruples of inputs:

          • $$$(x, 0, 0, 0)$$$, $$$(x, 0, 1, 1)$$$, $$$(x, 1, 0, 1)$$$, $$$(x, 1, 1, 0)$$$ have the same hash,
          • $$$(x, 0, 0, 1)$$$, $$$(x, 0, 1, 0)$$$, $$$(x, 1, 0, 0)$$$, $$$(x, 1, 1, 1)$$$ have the same hash.

          Consider using some other hash, or an ordered map.

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          7 weeks ago, # ^ |
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          I tested running your code with @bootstrap in GYM. It takes 2.6 s / 2.0 s. So your solution is just slightly too slow.

          Btw there is a simple trick here to get around recursion (and bootstrap) in its entirety. By switching

          print(dp(0,False,False,False))
          

          to

          for i in range(days)[::-1]:
              dp(i,False,False,False)
          print(dp(0,False,False,False))
          

          you have essentially a bottom-up DP solution. Note that any recursive call done will be stored in the cache. Using this trick, your code gets AC in 1.2 s / 2.0 s 247814957.