deletions | additions       diff --git a/d) Quicksort average complexity.tex b/d) Quicksort average complexity.tex  index 8725ae0..55c3087 100644  --- a/d) Quicksort average complexity.tex  +++ b/d) Quicksort average complexity.tex 
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\Updownarrow\\  C(n) = (n+1)\left(C(0) + 3\sum_{m=2}^{n+1}\left[\frac{1}{m}\right] - \sum_{m=1}^{n}\left[\frac{1}{m}\right]\right)\\  \Updownarrow\\  C(n) = (n+1)\left(C(0) + 2\sum_{m=2}^{n+1}\left[\frac{1}{m}\right] + \frac{1}{n+1} - 1\right)\\  \Updownarrow\\  C(n) = (n+1)\left(C(0) + 2\left(\sum_{m=1}^{n}\left[\frac{1}{m}\right] + 1 - \frac{1}{n+1}\right) + \frac{1}{n+1} - 1\right)\\  \]