Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 11.2, Problem 3E
Program Plan Intro
To determine the running time of successful searches, unsuccessful searches, insertions and deletions when each list I the table is well sorted.
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Records with equal keys are kept in the same order via stable sorting algorithms (i.e. values).
In other words, a sorting technique is stable if R occurs before S in the original list and R appears before S in the sorted list whenever R and S have the same key.
Is the counting-sort algorithm stable?
How can productivity be improved when a hash table is used in place of a linear list?
What might be the problem?
the creation of it using a hashtable
Comparing the usage of a hash table to a linear list, how may efficiency be improved? What may be the problem?the creation of it using a hashtable
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- In your essay, please identify at least two advantages and at least two disadvantages of bypassing the skip list.arrow_forwardThe average-case performance when looking up a single search key ... a) is better with a Linked List than with a Hash Table. b) is better with a Hash Table than with an Array. c) is better with a Binary Search Tree than with a Hash Table. d) is the same with a Linked List, an Array, and a Hash Table.arrow_forwardWhich implementation of the size and isEmpty methods would you choose if you had the choice of having a million-element list? (Think about the problem with the University of Michigan's alumni database.) How would you select between making a million different lists? Consider the difficulty of monitoring dependents for a million income tax returns.)arrow_forward
- What do you mean by Linked List? Discuss insertion and deletion algorithm in details.arrow_forwardWhen compared to using a linear list, how may the usage of a hash table increase efficiency? What may be the problem, perhaps?the development of it made use of a hashtablearrow_forwardFrom a list of participants’ ids, find which id is missing from the list. The participant ids sorted in ascending order with a certain difference. Output explanation: the difference for each id is 12, from the list the missing number Is 120073 which is after 120061 and before 120085. Design an algorithm using C language! (PS: use divide and conquer algorithm)arrow_forward
- Add to LinearProbingHashST a delete()method that deletes a key-value pair by setting the value to null (but not removingthe key) and later removing the pair from the table in resize(). Your primary challenge is to decide when to call resize(). Note : You should overwrite the null value ifa subsequent put() operation associates a new value with the key. Make sure that yourprogram takes into account the number of such tombstone items, as well as the numberof empty positions, in making the decision whether to expand or contract the tablearrow_forward3 way mergingsort. What if you divided into thirds, sorted each third, and combined using a 3-way join instead of splitting in half at each step? What is the progression of this algorithm's total operating time?arrow_forwardAmong Selection Sort, Insertion Sort, Mergesort, Quicksort, and Heapsort, which algorithm would you choose for the situation below? Only pick one algorithm.The simplicity of implementation should also be considered AFTER the consideration of speed, the number of assignment operation and the extra space requirement. Use the chart below for your considerations. A) The list has several hundred records. The records are quite long, but the keys are very short. B) The list has about 25,000 records. It is desirable to complete the sort as quickly as possible on the average, but it is also critical that the sort be completed quickly in every single case. C) The list has about 45,000 records, but it starts off only slightly out of order.arrow_forward
- Can you explain the ordering of the sublist, how exactly did you find the sublists like for step 2: 6 9 5 7 12 2 3 1, 14 How did you know 6 would be first in the sublist?arrow_forwardcreate an algorithm that demonstrates how to find a key using a skip list (S) and an index (K). The search is carried out by the method using the functions next(p) and below(p).arrow_forwardThe add operation is the only way an element can be added to an ordered list. Nolocation is specified in the call because the elements themselves determine their order.Very much like the remove operation, the add operation requires a combination ofcomparisons and shifts: comparisons to find the correct location in the list and thenshifts to open a position for the new element. Looking at the two extremes, if theelement to be added to the list belongs at the front of the list, that will require onecomparison and then the other n – 1 elements in the list will need to be shifted. If theelement to be added belongs at the rear of the list, this will require n comparisons, andnone of the other elements in the list will need to be shifted. Like the remove operation, the add operation requires n comparisons and shifts each time it is executed, andthus the operation is O(n). implemente The add operationd?arrow_forward
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