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This document defines and describes various types of algorithms. It begins by explaining that an algorithm is a step-by-step procedure for solving problems or processing data, and that they are used in mathematics and computer science. It then categorizes algorithms into different types, including recursive, divide and conquer, dynamic programming, greedy, branch and bound, brute force, and randomized algorithms. Examples are provided to illustrate each type of algorithm.
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32 algorithm-types
The document describes several types of algorithms. It discusses simple recursive algorithms, backtracking algorithms, divide and conquer algorithms, dynamic programming algorithms, greedy algorithms, branch and bound algorithms, brute force algorithms, and randomized algorithms. Examples are provided for each type of algorithm to illustrate how it works. The purpose is to highlight the different approaches that can be used to solve algorithmic problems.
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1) Simple recursive algorithms solve base cases directly and recursively solve simpler subproblems.
2) Backtracking algorithms use depth-first search to test solutions and make choices recursively.
3) Divide and conquer algorithms divide problems into smaller subproblems, solve them recursively, and combine the solutions.
4) Dynamic programming algorithms store and reuse solutions to overlapping subproblems in a bottom-up manner.
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The document describes several types of algorithms. It discusses simple recursive algorithms, backtracking algorithms, divide and conquer algorithms, dynamic programming algorithms, greedy algorithms, branch and bound algorithms, brute force algorithms, and randomized algorithms. Examples are provided for each type of algorithm to illustrate how it works. The purpose is to highlight the different approaches that can be used to solve algorithmic problems.
35 algorithm-types
The document discusses various types of algorithms:
1) Simple recursive algorithms solve base cases directly and recursively solve simpler subproblems.
2) Backtracking algorithms use depth-first search to test solutions and make choices recursively.
3) Divide and conquer algorithms divide problems into smaller subproblems, solve them recursively, and combine the solutions.
4) Dynamic programming algorithms store and reuse solutions to overlapping subproblems in a bottom-up manner.
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The document discusses various algorithm strategies and structures. It provides examples of backtracking algorithms including finding a path through a maze and coloring a map with four colors or less. Backtracking algorithms involve making a series of choices recursively and abandoning a choice (backtracking) if it leads to a dead end rather than a solution.
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35 algorithm-types
This document discusses different types of algorithms. It provides examples of:
- Simple recursive algorithms that solve base cases and recursively call simpler subproblems.
- Backtracking algorithms that use depth-first search and backtrack when choices lead to dead ends.
- Divide and conquer algorithms that divide problems into subproblems, solve the subproblems recursively, and combine the solutions.
- Dynamic programming algorithms that store and reuse solutions to overlapping subproblems to optimize problems.
- Greedy algorithms that make locally optimal choices at each step to hopefully find a global optimum.
- Branch and bound algorithms that construct a search tree and prune suboptimal branches.
- Brute force algorithms that exhaustively check all possibilities until finding a solution
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"A short and knowledgeable concept about Algorithm "
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- 2. Nabia Rahman Farjana Sarmin Name of Group Members MD. Osman Goni Sumayea Musarat
- 3. An algorithm is a procedure or formula for solving a problem. Derives from the mathematician, Mohammed ibn-Musa al-Khwarizmi. Al-Khwarizmi's work is the likely source for the word algebra as well.
- 4. In mathematics and computer science, an algorithm is a step-by-step procedure for calculations. Algorithms are used for calculation, data processing, and automated reasoning. A program is one type of algorithm All programs are algorithms Not all algorithms are programs!
- 5. Using a similar problem-solving approach can be grouped together The purpose is not to be able to classify an algorithm as one type or another, but to highlight the various ways in which a problem can be attacked.
- 6. • Simple recursive algorithms • Backtracking algorithms • Divide and conquer algorithms • Dynamic programming algorithms • Greedy algorithms • Branch and bound algorithms • Brute force algorithms • Randomized algorithms
- 7. A simple recursive algorithm: Solves the base cases directly Recurs with a simpler sub problem Does some extra work to convert the solution to the simpler sub problem into a solution to the given problem I call these “simple” because several of the other algorithm types are inherently recursive
- 9. Given a list, find a specific element in the list We will see two types Linear search Binary search
- 12. Given a list, put it into some order We will see Three types Bubble sort Selection sort Quick sort
- 16. In computer science, divide and conquer is an important algorithm design paradigm based on multi-branched recursion. It works by recursively breaking down a problem into two or more sub-problems.
- 17. It is a method for solving complex problems by breaking them down into simpler sub problems.
- 18. It is a general algorithm for finding optimal solutions of various optimization problems. A branch-and-bound algorithm consists of a systematic calculation of all candidate solutions.
- 19. A brute force algorithm simply tries all possibilities until a satisfactory solution is found - Such an algorithm can be: Optimizing - Example: Finding the best path for a travelling salesman Satisfying - Example: Finding a travelling salesman path that is within 10% of optimal
- 20. A randomized algorithm uses a random number at least once during the computation to make a decision Example: In Quicksort, using a random number to choose a pivot Example: Trying to factor a large prime by choosing random numbers as possible divisors