Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
11th Edition
ISBN: 9780134670942
Author: Y. Daniel Liang
Publisher: PEARSON
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Chapter 27.4, Problem 27.4.6CP
Program Plan Intro
Open Addressing:
- Open addressing is a method of finding an open location in the hash table at the time of collision.
- There are several variations for open addressing such as linear probing, quadratic probing, and double hashing.
Double Hashing:
- One other open addressing method that can avoid the clustering problem is referred as double hashing.
- In order to avoid the clustering problem, double hashing method uses a secondary hash function on the keys to determine the increments.
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Show what occurs when the keys 5, 28, 19, 15, 20, 33, 12, 17, and 10 are inserted into a hash table with collisions addressed by chaining. If the table has nine slots, then the hash function should be h.k/D k mod nine.
If the sizeof hash table is 11, the hash function is H(key)=(2*key+1)MOD 11，open addressing, square probing. According to the keywords sequence (19,21,10,7,23,32,17,15,11,22), please insert these keywords in the hash table from 0-10 .
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Chapter 27 Solutions
Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
Ch. 27.2 - Prob. 27.2.1CPCh. 27.3 - Prob. 27.3.1CPCh. 27.3 - Prob. 27.3.2CPCh. 27.3 - Prob. 27.3.3CPCh. 27.3 - Prob. 27.3.4CPCh. 27.3 - Prob. 27.3.5CPCh. 27.3 - Prob. 27.3.6CPCh. 27.3 - If N is an integer power of the power of 2, is N /...Ch. 27.3 - Prob. 27.3.8CPCh. 27.3 - Prob. 27.3.9CP
Ch. 27.4 - Prob. 27.4.1CPCh. 27.4 - Prob. 27.4.2CPCh. 27.4 - Prob. 27.4.3CPCh. 27.4 - Prob. 27.4.4CPCh. 27.4 - Prob. 27.4.5CPCh. 27.4 - Prob. 27.4.6CPCh. 27.5 - Prob. 27.5.1CPCh. 27.6 - Prob. 27.6.1CPCh. 27.6 - Prob. 27.6.2CPCh. 27.6 - Prob. 27.6.3CPCh. 27.7 - Prob. 27.7.1CPCh. 27.7 - What are the integers resulted from 32 1, 32 2,...Ch. 27.7 - Prob. 27.7.3CPCh. 27.7 - Describe how the put(key, value) method is...Ch. 27.7 - Prob. 27.7.5CPCh. 27.7 - Show the output of the following code:...Ch. 27.7 - If x is a negative int value, will x (N 1) be...Ch. 27.8 - Prob. 27.8.1CPCh. 27.8 - Prob. 27.8.2CPCh. 27.8 - Can lines 100103 in Listing 27.4 be removed?Ch. 27.8 - Prob. 27.8.4CPCh. 27 - Prob. 27.1PECh. 27 - Prob. 27.2PECh. 27 - (Modify MyHashMap with duplicate keys) Modify...Ch. 27 - Prob. 27.6PECh. 27 - Prob. 27.7PECh. 27 - Prob. 27.8PECh. 27 - Prob. 27.10PECh. 27 - Prob. 27.11PECh. 27 - (setToList) Write the following method that...Ch. 27 - (The Date class) Design a class named Date that...Ch. 27 - (The Point class) Design a class named Point that...
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- Suppose that a computer has only the memory locations 0,1,2,...,19. Use the hashing functionh where h(x)=(x+5) mod 20 to determine the memory locations in which 57, 32, and 97 are stored.arrow_forwardGive the contents of the resulting hash table when you insert items with the keys L A G U N I V E R S in that order into an initially empty table of M = 5 lists, using separate chaining with unordered lists. Use the hash function 11k mod M to transform the kth letter of the alphabet into a table index. Example: hash(J) hash(10) = 110 % 5 = 0arrow_forward1. Give the contents of the resulting hash table when you insert items with the keys L A G U N I V E R S  in that order into an initially empty table of size M = 16 using linear probing. Use the hash function 11k mod M to transform the kth letter of the alphabet into a table index. Example: hash(J)     hash(10) = 110 % 16 = 14  Show the detailed solution for each key and plot the items in the hash table.arrow_forward
- A hash table uses hashing to transform an item's key into a table index so that iterations, retrievals and deletions can be performed in expected ___________ time. Select one: a. O(1) b. O(n)  c. O(false) d. O(logN)arrow_forwardGiven is the hash function h(k) = k mod 10. How many different insertion sequences of keys are there to generate the following hash table if closed hashing with linear probing is used? B0 = ∅ B1 = ∅ B2 = {32} B3 = {43} B4 = {54} B5 = {12} B6 = {76} B7 = {23} B8 = ∅ B9 = ∅arrow_forwardIs there a predetermined limit to the number of linked lists that may be included inside a hash table of size m? Hash functions continue to baffle me, and I have no idea how to interpret their intended use. Give an example to explain the point you're making.arrow_forward
- Let us consider an empty hash table with 10 positions indexed from 0 to 9. Please illustrate the content of the hash table after inserting the elements 79, 8, 39, 48, 3, and 60 using(1) Quadratic Probing (2) Double hashing with h(k) = k%10 and h’(k)= 7-k%7arrow_forwardAdd the following numbers in this order to an initially empty hash table with m = 11, h(x) = x % 11, and linear probing. 72, 5, 76, 60, 6arrow_forwardIn simple uniform hashing, each key is assumed to have equal probability to map to any of the hashes in a given table of size m. Given an open-address table of size 100 and 2 random keys, what is the probability that they hash to the same value? What is the probability that they hash to different values?  PLEASE give me a written paragraph answerarrow_forward
- Write a programme to obtain a and M values with M as little as possible so that the hash function (a * k)% M for translating the kth letter of the alphabet into a table index provides separate values (no collisions) for the keys S E A R C H X M P L. A perfect hash function is the end result.arrow_forwardSuppose you have a hash table with 1000 buckets and you want to insert 10,000 elements into the table. If the hash function distributes the elements uniformly, what is the expected number of collisions during the insertion process?arrow_forwardDoes a hash table of size m contain the same number of linked lists at all times? No matter how hard I attempt, I cannot identify the purpose of a hash function. Provide an example to illustrate your point.arrow_forward
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