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 27.6, Problem 27.6.1CP
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.
Linear Probing:
- Linear probing is one of the variations of open addressing.
- When an entry is inserted into a hash table, a collision occurs. At the time of collision, linear probing will start finding the next available location sequentially.
- Linear probing will look at the consecutive cells which begin at index k.
- Starting from the initial index, linear probing will add an increment of 1 to k to define a search sequence.
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Given values below:
66 47 87 900 126 140 145 500 177 285 393 395 467 566 620 735
Store the values into a hash table with ten buckets, each containing three slots. If a bucket is full, use the next (sequential) bucket that contains a free slot. And Store the values into a hash table that uses the hash function key % 10 to determine into which of ten chains (separate chaining) to put the value?
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.
Suppose 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?
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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- Insert into a hash table with a maximum size of 10, the following keywords- apple, grape, orange, pineapple Hash function use Division . methodIf there is a collision handling with Linear Probing Create the final result hash tablearrow_forwardUsing separate chaining and the hash function ‘key mod 7’, insert the following sequence of keys in the hash table 52, 600, 45, 42, 92, 63, 36arrow_forwardPlease type your solution below for the question b. Suppose the hash table in B1 is updated, but B2 is emptyarrow_forward
- Is there any benefit to using a hash index table?arrow_forwardYou should consider the following when creating an open hash table with good functionality:arrow_forwardInsert the following data into a hash table implemented using linear openaddressing. Assume that the buckets have three slots each. Make use of the hashfunction h(X) = X mod 9.{17, 09, 34, 56, 11, 71, 86, 55, 22, 10, 4, 39, 49, 52, 82, 13, 40, 31, 35, 28, 44}arrow_forward
- What should the loading factor be (on ANY HASH TABLE) if you want to have an average of 1.4 comparisons per successful search if LINEAR PROBING?arrow_forwardLet H be the hash-table where collisions are handled by separate chaining and where re-hashingis used each time the load factor (number of items in the table divided by the size of the table)exceeds 1⁄2. It is assumed that initial size of H is 2 and that re-hashing doubles the size of thetable. After inserting 10 items with different keys, what is the size of hash table H?arrow_forwardCreate a hash table of size 8 using modular division method. Use hash function h(k) = 2k + 3 where k is the key value. Apply quadratic probing method in resolving collision. Insert the following keys in the hash table: 3, 2, 9, 6, 11, 13. Show the final hash table.arrow_forward
- Given n data (n=15) as 19, 39, 94, 97, 89, 72, 78, 80, 12, 18, 31, 25, 77, 48, and 99. Using hash function (key = data mod P), where P is the smallest prime number which is bigger than n, create hash table H1 using chaining strategy for collision and compute the average comparison times in searching process.arrow_forwardHow does the hash function work?arrow_forwardDoes a hash table exist that can accommodate linked lists of size m? What objectives should be met while using a hash function? Give an example.arrow_forward
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