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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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Most viewed questions in Algorithms

64 votes
8 answers
33
GATE CSE 2007 | Question: 44
In the following C function, let $n \geq m$. int gcd(n,m) { if (n%m == 0) return m; n = n%m; return gcd(m,n); } How many recursive calls are made by this function? $\Theta(\log_2n)$ $\Omega(n)$ $\Theta(\log_2\log_2n)$ $\Theta(\sqrt{n})$
In the following C function, let $n \geq m$.int gcd(n,m) { if (n%m == 0) return m; n = n%m; return gcd(m,n); }How many recursive calls are made by this function?$\Theta(\...
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7 votes
2 answers
36
time complexity
find TC : $T(n)= 2T(\sqrt{n}) + 1$
find TC : $T(n)= 2T(\sqrt{n}) + 1$
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39 votes
4 answers
37
GATE CSE 2006 | Question: 14, ISRO2011-14
Which one of the following in place sorting algorithms needs the minimum number of swaps? Quick sort Insertion sort Selection sort Heap sort
Which one of the following in place sorting algorithms needs the minimum number of swaps?Quick sortInsertion sortSelection sortHeap sort
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1 votes
1 answer
40
If the number of records to be sorted is small, then which sorting can is efficient?
If the number of records to be sorted is small, then ...... sorting can be efficient. A. Merge B. Heap C. Insertion D. Bubble
If the number of records to be sorted is small, then ...... sorting can be efficient.A. MergeB. HeapC. InsertionD. Bubble
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4 votes
4 answers
41
time complexity
int fun(int n) { int count = 0; for (int i = n; i > 0; i /= 2) for (int j = 0; j < i; j++) count += 1; return count; } what is the time complexity
int fun(int n) { int count = 0; for (int i = n; i 0; i /= 2) for (int j = 0; j < i; j++) count += 1; return count; } what is the time complexity
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34 votes
4 answers
43
GATE CSE 2013 | Question: 19
What is the time complexity of Bellman-Ford single-source shortest path algorithm on a complete graph of n vertices? $\theta(n^2)$ $\theta(n^2\log n)$ $\theta(n^3)$ $\theta(n^3\log n)$
What is the time complexity of Bellman-Ford single-source shortest path algorithm on a complete graph of n vertices?$\theta(n^2)$ $\theta(n^2\log n)$ $\theta(n^3)...
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79 votes
10 answers
48
GATE CSE 2000 | Question: 2.17
Consider the following functions $f(n) = 3n^{\sqrt{n}}$ $g(n) = 2^{\sqrt{n}{\log_{2}n}}$ $h(n) = n!$ Which of the following is true? $h(n)$ is $O(f(n))$ $h(n)$ is $O(g(n))$ $g(n)$ is not $O(f(n))$ $f(n)$ is $O(g(n))$
Consider the following functions$f(n) = 3n^{\sqrt{n}}$$g(n) = 2^{\sqrt{n}{\log_{2}n}}$$h(n) = n!$Which of the following is true?$h(n)$ is $O(f(n))$$h(n)$ is $O(g(n))$$g(n...
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48 votes
2 answers
50
GATE CSE 1999 | Question: 1.14, ISRO2015-42
If one uses straight two-way merge sort algorithm to sort the following elements in ascending order: $20, \ 47, \ 15, \ 8, \ 9, \ 4, \ 40, \ 30, \ 12, \ 17$ ... $4, \ 8, \ 9, \ 15, \ 20, \ 47, \ 12, \ 17, \ 30, \ 40$
If one uses straight two-way merge sort algorithm to sort the following elements in ascending order: $20, \ 47, \ 15, \ 8, \ 9, \ 4, \ 40, \ 30, \ 12, \ 17$then the o...
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