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Questions and Answers
What is the primary characteristic of a recursive algorithm?
What is the primary characteristic of a recursive algorithm?
Breaking down a problem into smaller sub-problems, solving each recursively until the solution is found.
What is the main goal of a greedy algorithm?
What is the main goal of a greedy algorithm?
To make the optimal choice at each step, hoping to find a global optimum solution.
What is the primary advantage of dynamic programming algorithms?
What is the primary advantage of dynamic programming algorithms?
Solving each sub-problem only once and storing the solutions to avoid redundant computation.
What is the purpose of time complexity analysis in algorithm design?
What is the purpose of time complexity analysis in algorithm design?
What is the main difference between the divide and conquer algorithm design technique and the divide and conquer algorithm type?
What is the main difference between the divide and conquer algorithm design technique and the divide and conquer algorithm type?
What is the purpose of backtracking in algorithm design?
What is the purpose of backtracking in algorithm design?
What is the significance of Big O notation in algorithm analysis?
What is the significance of Big O notation in algorithm analysis?
What is the primary difference between a brute force algorithm and a dynamic programming algorithm?
What is the primary difference between a brute force algorithm and a dynamic programming algorithm?
What is the main application of graph algorithms?
What is the main application of graph algorithms?
What is the primary purpose of cryptography algorithms?
What is the primary purpose of cryptography algorithms?
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Study Notes
Algorithms
Definition
- A set of instructions to solve a specific problem or perform a particular task
- A well-defined procedure that takes some input and produces a corresponding output
Types of Algorithms
- Recursive Algorithms: break down a problem into smaller sub-problems, solving each recursively until the solution is found
- Dynamic Programming Algorithms: break down a problem into smaller sub-problems, solving each only once and storing the solutions to sub-problems to avoid redundant computation
- Greedy Algorithms: make the optimal choice at each step, hoping to find a global optimum solution
- Divide and Conquer Algorithms: break down a problem into smaller sub-problems, solving each recursively and combining the solutions to solve the original problem
Algorithm Design Techniques
- Brute Force: try all possible solutions and choose the best one
- Divide and Conquer: break down a problem into smaller sub-problems and solve each recursively
- Dynamic Programming: break down a problem into smaller sub-problems, solving each only once and storing the solutions to sub-problems
- Backtracking: try a solution and if it fails, backtrack and try another solution
Algorithm Analysis
- Time Complexity: the amount of time an algorithm takes to complete, usually measured in terms of the number of operations performed
- Space Complexity: the amount of memory an algorithm uses, usually measured in terms of the number of bytes required
- Big O Notation: a way of expressing the time or space complexity of an algorithm, usually in terms of the number of operations performed or the amount of memory used
Famous Algorithms
- Sorting Algorithms: Bubble Sort, Selection Sort, Insertion Sort, Merge Sort, Quick Sort
- Searching Algorithms: Linear Search, Binary Search
- Graph Algorithms: Breadth-First Search (BFS), Depth-First Search (DFS), Dijkstra's Algorithm
- Cryptography Algorithms: RSA, AES
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