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Mazdak Farrokhzad edited a) As few classrooms as possible.tex
almost 10 years ago
Commit id: 4239e41a204a78ad6ab866ccbb9cfdb525a92795
deletions | additions
diff --git a/a) As few classrooms as possible.tex b/a) As few classrooms as possible.tex
index 5df5632..5930341 100644
--- a/a) As few classrooms as possible.tex
+++ b/a) As few classrooms as possible.tex
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\begin{align*}
T(n) &= c_0 + n\log{n} + \sum_{i=1}^{n-1} \left[ c_1 + \log{i} + \sum_{j=1}^i \Big[ c_2 \Big] \right]
+ 1 \left[ c_1 + \sum_{i=1}^{n-1} \Big[ \log{i} \Big] + \log{1} \right]\\
&= c_0 +
\log{1} + n\log{n} + \sum_{i=1}^{n-1} \left[ c_1 + \log{i} + c_2i \right]
+ \left[ c_1 + \sum_{i=1}^{n-1} \Big[ \log{i} \Big]
+ \log{1} \right]\\
&= c_0 + n\log{n} + nc_1 + \sum_{i=1}^{n-1} \Big[ \log{i} + c_2i \Big]
+ \left[ \sum_{i=1}^{n-1} \Big[ \log{i} \Big] + \log{1} \right]\\
\end{align*}