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 27.4.5CP
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.
Quadratic Probing:
- Quadratic probing is one other variation of open addressing.
- It is introduced to avoid the clustering problem in linear probing.
- Quadratic probing will look at the cells at indices (k + j2) % n, for j ≥ 0, i.e., k, (k + 1) % n, (k + 4) % n, (k + 9) % n, ..., and so on.
- Starting from the initial index, quadratic probing will add an increment of 2 to k to define a search sequence.
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A linear probing hash table of length 10 uses the hash function h(x) = x mod 10 + 1. mod is the reminder operator. For example the h(42) = 42 mod 10 + 1 = 2 + 1 = 3 so we insert 42 in the position 3 in the array.
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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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- Take a look at a straightforward hash function like "key mod 8" and a series of keys like 75, 89, 42, 58, 94, 38, 32, and 21. What would the finished sequence look like if you use a linear probe to insert those keys into an 8-by-8 array?arrow_forwardUsing a hash table size of 11, modulo hash method and linear probing, what does the hash table look like (show me the 11 entries) after you add the following keys: 21, 54, 60, 43, 27, 44, 55, 66, 77. write your answer using - to represent an entry with no value Write your answer with a single space between the keys. example: 21 54 60 43 - - 27 44 55 66 77 for the 11 entriesarrow_forwardImplement a commonly used hash table in a program that handles collision using linear probing. Using (K mod 13) as the hash function, store the following elements in the table: {1, 5, 21, 26, 39, 14, 15, 16, 17, 18, 19, 20, 111, 145, 146}.arrow_forward
- 2-A linear probing hash table of length 10 uses the hash function h(x) = x mod 10 + 1. mod is the reminder opertatro. For example the h(42) = 42 mod 10 + 1 = 2 + 1 = 3 so we insert 42 in t he position 3 in the array. After inserting 6 integer keys into an initially empty hash table, the array of keys is 1 2 3 4 5 7 8 9. 42 23 34 52 46 33 a- insert the key 35 b- insert the key 12 c- insert the key 10arrow_forwardGiven a hash table of size 9 with hash function x%9. Write the element order of the linear probe hash table when these keys are inserted in the given order. 1,20,11,28,25,9,18 Answer is just a sequence of elements in the same format. Use hypen - to indicate empty space. For example a table like below must be written as in the following: 11 28 9,28,-,11,1,-,- Cevap: Kalan Süre 1:37:31arrow_forwardSuppose you have a hash table of size N = 256, and you are using double hashing. The keys in your hash are 4-digit integers (0000 through 9999) and your hash function is h(k) = (k²)%N The second hash function (used for probing) is h₂(k) = (sum-of-digits (k) * 8)%N What are the first 4 values in the search sequence (starting with the home position) for a record with key k-2025?arrow_forward
- How would the table look like if we used separate chaining (open hashing)arrow_forwardConsider a hash table of size 100 named marks Table that uses linear probing and a hash function of key % 5. What would be the hash table index (0-based) of key 46? marks Table.insert(47); marks Table.insert(41); marks Table.insert(42); marks Table.insert(44); marks Table.insert(46);arrow_forwardWhat is the average-case runtime required for a successful operation in a hash table using chaining where there are m buckets and n items in the hash table? Select one: a. O( n/m ) b. O(n) The answer depends on both n and m c. O( 1) d. O(m)arrow_forward
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