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Questions and Answers
Which of the following is NOT one of the criteria for the analysis of algorithms?
Which of the following is NOT one of the criteria for the analysis of algorithms?
- Input dimension
- Memory to use
- Execution time/Running time
- Number of instructions executed (correct)
Which of the following is true about the execution time of an algorithm?
Which of the following is true about the execution time of an algorithm?
- It is not a decisive criterion for efficiency.
- It depends on the dimension of the input. (correct)
- It is the same for all machines.
- It is measured in units of memory.
What does T(n) represent in the context of algorithm analysis?
What does T(n) represent in the context of algorithm analysis?
- The input dimension of an algorithm
- The number of instructions executed
- The execution time of an algorithm (correct)
- The memory used by an algorithm
Which of the following is contradictory when considering the criteria of analysis for algorithms?
Which of the following is contradictory when considering the criteria of analysis for algorithms?
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What does the efficiency of an algorithm depend on, according to the text?
What does the efficiency of an algorithm depend on, according to the text?
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Study Notes
Criteria for Algorithm Analysis
- Criteria typically include correctness, efficiency, and simplicity among others.
- A point that is NOT considered part of these criteria would be originality, as it doesn’t impact algorithm performance directly.
Execution Time of an Algorithm
- Execution time can be affected by multiple factors including the size of the input data.
- Generally, more complex algorithms tend to exhibit longer execution times.
T(n) in Algorithm Analysis
- T(n) denotes the time complexity of an algorithm as a function of the input size n.
- It helps in understanding how the execution time scales with different input sizes.
Contradictory Aspects in Algorithm Analysis
- An aspect considered contradictory might involve an algorithm being both efficient and easy to implement, yet exhibiting poor performance with large datasets.
- Efficiency might sometimes conflict with ease of understanding or implementation.
Efficiency Factors of an Algorithm
- The efficiency of an algorithm often depends on the algorithm’s complexity, which can be described through Big O notation.
- Other factors include hardware capabilities, programming language, and implementation skills.
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