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Questions and Answers
According to the text, what are the two criteria of analysis for algorithms?
According to the text, what are the two criteria of analysis for algorithms?
- Running time and Efficiency
- Input dimension and Number of instructions
- Execution time and Memory usage (correct)
- Dimension of the input and Execution time
What is the classification of algorithms based on their determinism?
What is the classification of algorithms based on their determinism?
- Deterministic classification
- Memory classification
- Non-deterministic classification (correct)
- Efficiency classification
What is the main factor that determines the execution time of an algorithm?
What is the main factor that determines the execution time of an algorithm?
- Number of instructions executed
- Memory to use
- Dimension of the input (correct)
- Efficiency of the algorithm
What does T(n) represent in the context of algorithm analysis?
What does T(n) represent in the context of algorithm analysis?
What are the three criteria of analysis mentioned in the text?
What are the three criteria of analysis mentioned in the text?
Flashcards
Algorithm Analysis Criteria
Algorithm Analysis Criteria
Execution time and memory usage are key.
Algorithm Determinism
Algorithm Determinism
Algorithms are classified as either deterministic or non-deterministic.
Input Dimension
Input Dimension
The size or amount of data the algorithm processes.
What is T(n)?
What is T(n)?
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Criteria of Analysis
Criteria of Analysis
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Study Notes
Algorithm Analysis Criteria
- Two criteria of analysis for algorithms:
- Correctness: ensuring the algorithm produces the correct output
- Efficiency: measuring the algorithm's performance and resource usage
Classification of Algorithms
- Based on their determinism, algorithms can be classified into two categories:
- Deterministic algorithms: always produce the same output for a given input
- Non-deterministic algorithms: may produce different outputs for the same input
Execution Time of an Algorithm
- The main factor that determines the execution time of an algorithm is the number of operations performed
- Execution time is directly proportional to the number of operations
Time Complexity (T(n))
- T(n) represents the time complexity of an algorithm, which is the number of operations performed as a function of the input size 'n'
- T(n) is used to measure the efficiency of an algorithm
Criteria of Analysis
- Three criteria of analysis mentioned in the text:
- Correctness
- Efficiency
- Scalability
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