Podcast
Questions and Answers
What does the word 'Algorithm' mean?
What does the word 'Algorithm' mean?
Which of the following is NOT a characteristic of an algorithm?
Which of the following is NOT a characteristic of an algorithm?
What is the primary difference between an algorithm and a program?
What is the primary difference between an algorithm and a program?
What is the main focus of computational complexity theory?
What is the main focus of computational complexity theory?
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What does time complexity of an algorithm measure?
What does time complexity of an algorithm measure?
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Which of the following is a characteristic of a program?
Which of the following is a characteristic of a program?
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What is the purpose of algorithm analysis?
What is the purpose of algorithm analysis?
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What is the main difference between an algorithm and a program in terms of hardware and software?
What is the main difference between an algorithm and a program in terms of hardware and software?
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What is the primary goal of algorithm analysis?
What is the primary goal of algorithm analysis?
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Which of the following is a characteristic of a well-defined algorithm?
Which of the following is a characteristic of a well-defined algorithm?
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What is the primary difference between a program and an algorithm?
What is the primary difference between a program and an algorithm?
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What is measured by the time complexity of an algorithm?
What is measured by the time complexity of an algorithm?
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Why is it important for an algorithm to be language-independent?
Why is it important for an algorithm to be language-independent?
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What is the primary focus of computational complexity theory?
What is the primary focus of computational complexity theory?
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Why is it important for an algorithm to have well-defined inputs and outputs?
Why is it important for an algorithm to have well-defined inputs and outputs?
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What is the main objective of designing an algorithm?
What is the main objective of designing an algorithm?
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Study Notes
What is Algorithm?
- An algorithm is a process or set of rules to be followed in calculations or other problem-solving operations.
- It refers to a set of rules/instructions that step-by-step define how a work is to be executed to get the expected results.
Characteristics of an Algorithm
- Clear and Unambiguous: Algorithm should be clear and unambiguous.
- Well-Defined Inputs: Algorithm should have well-defined inputs.
- Well-Defined Outputs: Algorithm must clearly define what output will be yielded and it should be well-defined.
- Finite-ness: Algorithm must end.
- Feasible: Algorithm must be simple, generic, and practical, executable with available resources.
- Language Independent: Algorithm designed must be language-independent, implementable in any language with the same output.
Difference between a Program and Algorithm
- Algorithm is done on design phase, while a program is done on implementation phase.
- Algorithm is written by a knowledge worker, while a program is developed by a programmer.
- Algorithm can use any language, whereas a program is created using a programming language.
- Algorithm can use any hardware and software, whereas a program needs a specific hardware and software.
- Algorithm is analyzed, while a program is tested.
Algorithm Analysis
- An important part of computational complexity theory, providing theoretical estimation for the required resources of an algorithm to solve a specific computational problem.
- Complexity theory measures the amount of computing resources (time and space) consumed by an algorithm.
Time and Space Complexity
- Time complexity of an algorithm quantifies the amount of time taken to run as a function of the length of the input.
- Space complexity of an algorithm quantifies the amount of space or memory taken to run as a function of the length of the input.
Calculating Time Complexity
- Break down the algorithm FUNCTION into individual operations.
- Calculate the Big O of each operation.
- Add up the Big O of each operation together.
- Remove the constants.
- Find the highest order term.
Divide and Conquer
- Divide the problem into smaller sub-problems.
- Solve each sub-problem independently.
- Merge the solution of all sub-problems to obtain the solution of the original problem.
What is Algorithm?
- An algorithm is a process or set of rules to be followed in calculations or other problem-solving operations.
- It refers to a set of rules/instructions that step-by-step define how a work is to be executed to get the expected results.
Characteristics of an Algorithm
- Clear and Unambiguous: Algorithm should be clear and unambiguous.
- Well-Defined Inputs: Algorithm should have well-defined inputs.
- Well-Defined Outputs: Algorithm must clearly define what output will be yielded and it should be well-defined.
- Finite-ness: Algorithm must end.
- Feasible: Algorithm must be simple, generic, and practical, executable with available resources.
- Language Independent: Algorithm designed must be language-independent, implementable in any language with the same output.
Difference between a Program and Algorithm
- Algorithm is done on design phase, while a program is done on implementation phase.
- Algorithm is written by a knowledge worker, while a program is developed by a programmer.
- Algorithm can use any language, whereas a program is created using a programming language.
- Algorithm can use any hardware and software, whereas a program needs a specific hardware and software.
- Algorithm is analyzed, while a program is tested.
Algorithm Analysis
- An important part of computational complexity theory, providing theoretical estimation for the required resources of an algorithm to solve a specific computational problem.
- Complexity theory measures the amount of computing resources (time and space) consumed by an algorithm.
Time and Space Complexity
- Time complexity of an algorithm quantifies the amount of time taken to run as a function of the length of the input.
- Space complexity of an algorithm quantifies the amount of space or memory taken to run as a function of the length of the input.
Calculating Time Complexity
- Break down the algorithm FUNCTION into individual operations.
- Calculate the Big O of each operation.
- Add up the Big O of each operation together.
- Remove the constants.
- Find the highest order term.
Divide and Conquer
- Divide the problem into smaller sub-problems.
- Solve each sub-problem independently.
- Merge the solution of all sub-problems to obtain the solution of the original problem.
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Description
Learn about the definition and characteristics of an algorithm, including clarity, well-defined inputs, and finiteness.
