deletions | additions       diff --git a/d) Quicksort average complexity.tex b/d) Quicksort average complexity.tex  index 059a673..eae6887 100644  --- a/d) Quicksort average complexity.tex  +++ b/d) Quicksort average complexity.tex 
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\[  C(n+1) = (1 + \frac{1}{n+1})C(n) + 2 - \frac{1}{n+1}\\  \Updownarrow\\  C(n+1) - (1 + \frac{1}{n+1})C(n) = 2 - \frac{1}{n+1} \frac{1}{n+1}\\  \Updownarrow\\  \frac{C(n+1)}{\prod_{k=0}^{n-1}\left[1+\frac{1}{k+1}\right]} - \frac{(1 + \frac{1}{n+1})C(n)}{\prod_{k=0}^{n-1}\left[1+\frac{1}{k+1}\right]} = \frac{2 - \frac{1}{n+1}}{\prod_{k=0}^{n-1}\left[1+\frac{1}{k+1}\right]}\\  \]