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Design and Analysis of Algorithms in C

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prathwik0/design-and-analysis-algorithms-in-c

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No.TitleAlgorithmsTime ComplexitySpace Complexity
Euclid's algorithmEuclid's algorithm adf$asdf$asdfasdf$asdf$ asdfEuclid's algorithm
Consecutive IntegerEuclid's algorithm

List of programs

No.TitleAlgorithmsTime ComplexitySpace Complexity
1GCDEuclid's algorithm$ O(log(\min(a,b))) $O(1)
No.TitleAlgorithmsTime ComplexitySpace Complexity
Consecutive Integer$O(\min(a,b))$$O(1)$
Middle School Method$O(n)$$O(maxFactors)$
2Prime NumbersSieve of Eratosthenes$O(n\log\log n)$$O(n)$
3FactorialIterative Version
No.TitleAlgorithmsTime ComplexitySpace Complexity
Recursive Version$O(n!)$
4FibonacciIterative Version
Recursive Version$O(2^n)$
5Tower of HanoiTower of Hanoi$O(2^n)$$O(n)$
6MatricesMatrix Multiplication$O(n^3)$$O(n^2)$
No.TitleAlgorithmsTime ComplexitySpace Complexity
7Searching AlgorithmsLinear Search$\Omega(1)\ \Theta(n)\ O(n)$$O(1)$
Binary Search$\Omega(1)\ \Theta(\log n)\ O(\log n)$$O(1)$
8Sorting AlgorithmsBubble Sort$\Omega(n)\ \Theta(n^2)\ O(n^2)$$O(1)$
Selection Sort$\Omega(n^2)\ \Theta(n^2)\ O(n^2)$$O(1)$
Insertion Sort$\Omega(n)\ \Theta(n^2)\ O(n^2)$$O(1)$
No.TitleAlgorithmsTime ComplexitySpace Complexity
Merge Sort$\Omega(n\log n)\ \Theta(n\log n)\ O(n\log n)$$O(n)$
Quick Sort$\Omega(n\log n)\ \Theta(n\log n)\ O(n^2)$$O(1)$
9Graph AlgorithmsDepth First Search
Breadth First Search
10String MatchingBrute Force
Horspool Algorithm

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