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1 vote
1 answer
89 views

Generating function of recursive algorithm with random subcalls

I was presented with the following algorithm. As input the algorithm gets an array of length $n \geq 0$. If $n \geq 2$ then for each $k \in \{1, 2, ..., n\}$ the algorithm calls itself recursively ...
Mahler's user avatar
  • 15
1 vote
0 answers
52 views

Recurrence in exercise divides and conquers

I am new to this site, I hope to contribute. For now i have the following problem of recurrences in a subject of discrete mathematics: Consider the algorithm, called StoogeSort in honor of the ...
FredieF's user avatar
  • 11
1 vote
0 answers
241 views

How to state a recurrence that expresses the worst case for good pivots?

The Problem Consider the randomized quicksort algorithm which has expected worst case running time of $\theta(nlogn)$ . With probability $\frac12$ the pivot selected will be between $\frac{n}{4}$ and $...
committedandroider's user avatar