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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.

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

Most answered questions in Algorithms

35 votes
9 answers
32
73 votes
9 answers
35
When $n = 2^{2k}$ for some $k \geqslant 0$, the recurrence relation$T(n) = √(2) T(n/2) + √n$, $T(1) = 1$evaluates to :$√(n) (\log n + 1)$$√(n) \log n$$√(n) \log...
113 votes
9 answers
38
The number of elements that can be sorted in $\Theta(\log n)$ time using heap sort is$\Theta(1)$$\Theta(\sqrt{\log} n)$$\Theta(\frac{\log n}{\log \log n})$$\Theta(\log n)...
10 votes
8 answers
42
Which of the following data structure is useful in traversing a given graph by breadth first search?StackQueueListNone of the above
19 votes
8 answers
47
56 votes
8 answers
49
The average number of key comparisons required for a successful search for sequential search on $n$ items is$\frac{n}{2}$$\frac{n-1}{2}$$\frac{n+1}{2}$None of the above