my_digital_garden/content/CP/PL - Aula 2.md

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20 de Setembro 2023 - #CP
> [!note]
> As resoluções dos exercícios aqui contidos podem conter erros. Se detetares um problema (e se o souberes resolver) por favor contacta-nos.
> [!note]
> These resolutions are using the file ***mmult.c*** available and developed by the professors.
## Ex. 1
a)
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> [!help]- What is the complexity of the MM (i.e., in big O notation, where N is the problem size and NxN is the matrix size)?
>[!hint]- Big O Notation Cheat Sheet
>- Constant: O(1)
- Linear time: O(n)
- Logarithmic time: O(n log n)
- Quadratic time: O(n^2)
- Exponential time: O(2^n)
- Factorial time: O(n!)
>[!help]- What increase in execution time is expected when the N doubles?
>[!help]- Which component of the performance equation is affected (e.g., \#I, CPI or Tcc)?
>
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