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Searching, Sorting, Hashing, Asymptotic worst case time and Space complexity, Algorithm design techniques: Greedy, Dynamic programming, and Divide‐and‐conquer, Graph search, Minimum spanning trees, Shortest paths.

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}& \textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{2020}&\textbf{2019}&\textbf{2018}&\textbf{2017-1}&\textbf{2017-2}&\textbf{2016-1}&\textbf{2016-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} & 2 &3&2&3&2&0&2&2&3&3&0&2.2&3
\\\hline\textbf{2 Marks Count} & 2 &3&4&4&2&4&2&3&2&3&2&2.9&4
\\\hline\textbf{Total Marks} & 6 &9&10&11&6&8&6&8&7&9&\bf{6}&\bf{8}&\bf{11}\\\hline
\end{array}}}$$

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Highest voted questions in Algorithms

47 votes
7 answers
94
GATE CSE 2004 | Question: 84
The recurrence equation $ T(1) = 1$ $T(n) = 2T(n-1) + n, n \geq 2$ evaluates to $2^{n+1} - n - 2$ $2^n - n$ $2^{n+1} - 2n - 2$ $2^n + n $
The recurrence equation$ T(1) = 1$$T(n) = 2T(n-1) + n, n \geq 2$evaluates to$2^{n+1} - n - 2$$2^n - n$$2^{n+1} - 2n - 2$$2^n + n $
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47 votes
7 answers
95
GATE CSE 2002 | Question: 2.11
The running time of the following algorithm Procedure $A(n)$ If $n \leqslant 2$ return ($1$) else return $(A( \lceil \sqrt{n} \rceil))$; is best described by $O(n)$ $O(\log n)$ $O(\log \log n)$ $O(1)$
The running time of the following algorithmProcedure $A(n)$If $n \leqslant 2$ return ($1$) else return $(A( \lceil \sqrt{n} \rceil))$;is best described by$O(n)$$O(\log ...
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44 votes
4 answers
110
GATE CSE 2006 | Question: 52
The median of $n$ elements can be found in $O(n)$ time. Which one of the following is correct about the complexity of quick sort, in which median is selected as pivot? $\Theta (n)$ $\Theta (n \log n)$ $\Theta (n^{2})$ $\Theta (n^{3})$
The median of $n$ elements can be found in $O(n)$ time. Which one of the following is correct about the complexity of quick sort, in which median is selected as pivot?$\T...
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