NEED HELP IN BASIC GRAPH QUESTION - FIRESC

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Hello guys.
I have recently begun learning about graph theory concepts and I want to know how I could improve my solution because my current solution gives TLE.

How can I improve my memory and time requirements?
Here is the link: CodeChef: Practical coding for everyone
Question: FIRESC Problem - CodeChef

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https://www.codechef.com/viewsolution/24471542
This is my solution

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how can we store the adjacency list in a vector?

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I made up some changes in your code:

  1. Taking adjacency list by reference, not creating a new one each time, that makes the code O(nm) (that’s why the TLE).
  2. After step 1, it got WA because of overflow of captains%MOD * num%MOD since both captains and num can be up to 10^5 and 10^{10} doesn’t fit in a signed 32-bit integer.

Accepted solution: CodeChef: Practical coding for everyone

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So TLE can also happen when memory exceeds limit?

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The TLE is caused because the program creates a complete new memory allocation for the adjacency list each time the DFS is called (which is O(|E| + |V|) each time, making the whole program to run in O(|V|(|V|+|E|))). When used by reference, no new memory is needed so it doesn’t spend execution time in replicating the adjacency list :smile:

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thanks a lot. I learned 2 new things today :smiley:

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