deletions | additions       diff --git a/solving the sum.tex b/solving the sum.tex  index dd68865..298851a 100644  --- a/solving the sum.tex  +++ b/solving the sum.tex 
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\begin{equation}  \begin{split}  T(n) &= a + \sum_{p = 2}^{\sqrt{n}}\left[b + \sum_{m = 1}^{\frac{n}{p}} p}^{\frac{n}{p}}  c\right]\\ &= a + \sum_{p = 2}^{\sqrt{n}}b + \sum_{p = 2}^{\sqrt{n}}\left[c\sum_{m = p}^{\frac{n}{p}} 1\right]\\  &= a + b\sum_{p = 2}^{\sqrt{n}}1 + c\sum_{p = 2}^{\sqrt{n}}\left[\sum_{m = p}^{\frac{n}{p}}\right]\\  &= a + b(\sqrt{n} - 1) + c\sum_{p=2}^{\sqrt{n}}\left[\frac{n}{p}-p+1\right]\\