Suppose running mergesort on a takes 54 seconds in the worst case to sort a list...
Suppose running mergesort on a takes 54 seconds in the worst
case to sort a list
of size 2^(18) . Taking the time complexity to be of the form
Cnlog(n) calculate C
and thus calculate the maximum time it would take to sort a list of
the size 2^20 .
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Suppose running mergesort on a takes 54 seconds in the worst
case to sort a list...
For a list of length n, insertion sort makes _key comparisons, in the worst case. None...
For a list of length n, insertion sort makes _key comparisons, in the worst case. None of these O(nlogzn) On O) O() Question 20 The time complexity of the quick sort is in the worst case and in the average case O), O) O(nlogon), O(nlogon) (12), O(nlog.) O(nlogon). 0() O(P), (n)
Insertion sort on small arrays in merge sort Although merge-sort runs in Θ(n log n) worst-case...
Insertion sort on small arrays in merge sort Although merge-sort runs in Θ(n log n) worst-case time and insertion sort runs in Θ(n 2 ) worst-case time, the constant factors in insertion sort can make it faster in practice for small problem sizes on many machines. Thus, it makes sense to coarsen the leaves of the recursion by using insertion sort within merge sort when subproblems become sufficiently small. Consider a modification to merge sort in which n/k sublists of...
When sorting n records, Merge sort has worst-case running time a. O(n log n) b. O(n)...
When sorting n records, Merge sort has worst-case running time a. O(n log n) b. O(n) c. O(log n) d. O(n^2)
Suppose that an algorithm takes 30 seconds for an input of 224 elements (with some particular,...
Suppose that an algorithm takes 30 seconds for an input of 224 elements (with some particular, but unspecified speed in instructions per second). Estimate how long the same algorithm, running on the same hardware, would take if the input contained 230 elements, and that the algorithm's complexity function is: Big theta not Big O a) Big theta(N) b) Big theta (log N) c) Big theta (N log N) d) Big theta(N^2) Assume that the low-order terms of the complexity functions...
2. Suggest a structured plan (algorithm) for the bubble sort and selection sort, and perform running...
2. Suggest a structured plan (algorithm) for the bubble sort and selection sort, and perform running time analysis for both best and worst case. 3. Consider the age data of 12 children who are supposed to undergo for vaccination in ascending order of their age. Suggest and apply a sorting technique which can efficiently handle this data. Show all the intermediate steps clearly. Child ID 01 02 03 04 05 06 07 08 09 10 11 12 2. Age 1...
When sorting n records, Merge Sort has worst-case running time O(log n) O O(n log n)...
When sorting n records, Merge Sort has worst-case running time O(log n) O O(n log n) O O(n) O(n^2)
Write a recurrence relation describing the worst case running time of each of the following algorithms,...
Write a recurrence relation describing the worst case running time of each of the following algorithms, and determine the asymptotic complexity of the function defined by the recurrence relation. Justify your solution by using substitution or a recursion tree. You may NOT use the Master Theorem. Simplify your answers, expressing them in a form such as O(nk) or (nklog n) whenever possible. If the algorithm takes exponential time, then just give an exponential lower bound using the 2 notation. function...
For [Select], there are three choices: worse than, the same as, better than Answer the following...
For [Select], there are three choices: worse than, the same as,
better than
Answer the following questions about the computational properties of divide-and-conquer sorting algorithms, based on tight big-Oh characterizations of the asymptotic growth rate of the functions for the running time or space size, depending on the question. Assume that the input sequence is given as a list, and the output sequence is also a list. Also assume a general implementation of the sorting algorithms, as opposed to an...
1. What is the worst case time complexity of insertion into a binary search tree with...
1. What is the worst case time complexity of insertion into a binary search tree with n elements? You should use the most accurate asymptotic notation for your answer. 2. A binary search tree is given in the following. Draw the resulting binary search tree (to the right of the given tree) after deleting the node with key value 8. 10 3. You have a sorted array B with n elements, where n is very large. Array C is obtained...
For a list of length n, insertion sort makes _key comparisons, in the worst case. None of these O(nlogzn) On O) O() Question 20 The time complexity of the quick sort is in the worst case and in the average case O), O) O(nlogon), O(nlogon) (12), O(nlog.) O(nlogon). 0() O(P), (n)
2. Suggest a structured plan (algorithm) for the bubble sort and selection sort, and perform running time analysis for both best and worst case. 3. Consider the age data of 12 children who are supposed to undergo for vaccination in ascending order of their age. Suggest and apply a sorting technique which can efficiently handle this data. Show all the intermediate steps clearly. Child ID 01 02 03 04 05 06 07 08 09 10 11 12 2. Age 1...
When sorting n records, Merge Sort has worst-case running time O(log n) O O(n log n) O O(n) O(n^2)
Write a recurrence relation describing the worst case running time of each of the following algorithms, and determine the asymptotic complexity of the function defined by the recurrence relation. Justify your solution by using substitution or a recursion tree. You may NOT use the Master Theorem. Simplify your answers, expressing them in a form such as O(nk) or (nklog n) whenever possible. If the algorithm takes exponential time, then just give an exponential lower bound using the 2 notation. function...
For [Select], there are three choices: worse than, the same as,
better than
Answer the following questions about the computational properties of divide-and-conquer sorting algorithms, based on tight big-Oh characterizations of the asymptotic growth rate of the functions for the running time or space size, depending on the question. Assume that the input sequence is given as a list, and the output sequence is also a list. Also assume a general implementation of the sorting algorithms, as opposed to an...
1. What is the worst case time complexity of insertion into a binary search tree with n elements? You should use the most accurate asymptotic notation for your answer. 2. A binary search tree is given in the following. Draw the resulting binary search tree (to the right of the given tree) after deleting the node with key value 8. 10 3. You have a sorted array B with n elements, where n is very large. Array C is obtained...
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