Podcast
Questions and Answers
What is the primary factor that determines the efficiency of a computer system?
What is the primary factor that determines the efficiency of a computer system?
- The amount of memory available
- The speed of the processor
- The type of programming language used
- The quality of the algorithm used (correct)
What is the time complexity of the sorting algorithm used on computer A?
What is the time complexity of the sorting algorithm used on computer A?
- n
- n lg n
- 2n
- n2 (correct)
How much faster is computer A than computer B in terms of raw computing power?
How much faster is computer A than computer B in terms of raw computing power?
- 500 times
- 1000 times (correct)
- 100 times
- 2000 times
What is the approximate time taken to sort an array of 10 million numbers on computer A?
What is the approximate time taken to sort an array of 10 million numbers on computer A?
What is the time complexity of the sorting algorithm used on computer B?
What is the time complexity of the sorting algorithm used on computer B?
What is the approximate time taken to sort an array of 10 million numbers on computer B?
What is the approximate time taken to sort an array of 10 million numbers on computer B?
What is the form of the linear function of n?
What is the form of the linear function of n?
Why do we focus on the worst-case running time?
Why do we focus on the worst-case running time?
What happens to the lower-order terms when analyzing the order of growth?
What happens to the lower-order terms when analyzing the order of growth?
What is the order of growth of the worst-case running time of insertion sort?
What is the order of growth of the worst-case running time of insertion sort?
What does the notation Θ(n2) represent?
What does the notation Θ(n2) represent?
When does the worst-case running time of an algorithm often occur?
When does the worst-case running time of an algorithm often occur?
What is the name of the method that involves guessing the form of the solution and then verifying it through induction?
What is the name of the method that involves guessing the form of the solution and then verifying it through induction?
What is the purpose of the inductive hypothesis in the substitution method?
What is the purpose of the inductive hypothesis in the substitution method?
What is the recurrence equation given in the text?
What is the recurrence equation given in the text?
What is the height of the recursion tree for the recurrence T(n) = 3T(n/4) + cn^2?
What is the height of the recursion tree for the recurrence T(n) = 3T(n/4) + cn^2?
What is the purpose of constructing a recursion tree?
What is the purpose of constructing a recursion tree?
What is the sub problem size at depth i in the recursion tree for the recurrence T(n) = 3T(n/4) + cn^2?
What is the sub problem size at depth i in the recursion tree for the recurrence T(n) = 3T(n/4) + cn^2?
Why do inefficient sorting algorithms like selection sort make redundant comparisons?
Why do inefficient sorting algorithms like selection sort make redundant comparisons?
What is the purpose of converting a sorting algorithm into a decision tree?
What is the purpose of converting a sorting algorithm into a decision tree?
What is the relationship between T(n) and the height of the decision tree?
What is the relationship between T(n) and the height of the decision tree?
What is the maximum number of different final actions that a sorting algorithm can take?
What is the maximum number of different final actions that a sorting algorithm can take?
What is the purpose of A(n) in the context of sorting algorithms?
What is the purpose of A(n) in the context of sorting algorithms?
How many possible actions must any sorting algorithm distinguish between?
How many possible actions must any sorting algorithm distinguish between?
What is the minimum number of different actions required by an algorithm to sort ndistinct numbers?
What is the minimum number of different actions required by an algorithm to sort ndistinct numbers?
What is the relationship between A(n) and n! in the context of sorting algorithms?
What is the relationship between A(n) and n! in the context of sorting algorithms?
What is the lower bound on the worst-case running time of a comparison-based sorting algorithm?
What is the lower bound on the worst-case running time of a comparison-based sorting algorithm?
What is the purpose of Stirling's approximation in the context of sorting algorithms?
What is the purpose of Stirling's approximation in the context of sorting algorithms?
What is the correct sorted order of the array a = {5, 3, 2, 9}?
What is the correct sorted order of the array a = {5, 3, 2, 9}?
What is the generalization of the lower bound on sorting algorithms?
What is the generalization of the lower bound on sorting algorithms?
