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 35.3, Problem 1E
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Is there a hash table that can handle linked lists that are at least m in size? What are some of the goals that should be accomplished by employing a hash function? Provide an example.
Does a hash table of size m contain exactly m linked lists? To me, a hash function serves no apparent use. Do not just make a claim without backing it up with an example.
Exists a hash table that can accommodate linked lists of length m? What objectives are there while using the hash function? Give an example.
Chapter 35 Solutions
Introduction to Algorithms
Ch. 35.1 - Prob. 1ECh. 35.1 - Prob. 2ECh. 35.1 - Prob. 3ECh. 35.1 - Prob. 4ECh. 35.1 - Prob. 5ECh. 35.2 - Prob. 1ECh. 35.2 - Prob. 2ECh. 35.2 - Prob. 3ECh. 35.2 - Prob. 4ECh. 35.2 - Prob. 5E
Ch. 35.3 - Prob. 1ECh. 35.3 - Prob. 2ECh. 35.3 - Prob. 3ECh. 35.3 - Prob. 4ECh. 35.3 - Prob. 5ECh. 35.4 - Prob. 1ECh. 35.4 - Prob. 2ECh. 35.4 - Prob. 3ECh. 35.4 - Prob. 4ECh. 35.5 - Prob. 1ECh. 35.5 - Prob. 2ECh. 35.5 - Prob. 3ECh. 35.5 - Prob. 4ECh. 35.5 - Prob. 5ECh. 35 - Prob. 1PCh. 35 - Prob. 2PCh. 35 - Prob. 3PCh. 35 - Prob. 4PCh. 35 - Prob. 5PCh. 35 - Prob. 6PCh. 35 - Prob. 7P
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- Consider an extensible hash table that uses 4-bit hash keys and stores two recordsper bucket. Simulate the insertion, into an initially empty hash table, of records with(hash values of) keys 1111, 1110, 1101,..., 0001, 0000, in that order. Simulate all 16insertions, indicating what happens after each insertion. Start with i=0 bit.arrow_forwardDoes anybody know of a hash table that can handle linked lists that are m in length? What are some goals that may be accomplished by utilizing the hash function? Provide an example.arrow_forwardImplement a hash table for a given set of keys using the chaining method ofhandling overflows. Maintain the chains in the ascending order of the keys. Design amenu-driven front-end interface, to perform the insert, delete and search operationson the hash tablearrow_forward
- Is there always the same number of linked lists in a hash table of size m? I've been trying to get my head around the purpose of hash functions without success. Justify your thesis with an example.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_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
- In a hash table of size m, how many linked lists exactly are there? I'm not sure what a hash function is used for. Give an example to support your claim.arrow_forward1. Consider an open hash (that is, one that deals with collisions by using a linked list) with a million entries. The hash algorithm takes 200ns to run, each comparison of objects takes 10ns, and everything else involved in the lookup takes trivial time. How large does the hash table need to be to use less time on chained comparisons than on the initial hash lookup? (Remember that you always have to compare once.)arrow_forwardIs a hash table with m linked lists constant? Hash functions baffle me. Provide an example.arrow_forward
- Create a strategy to delete all nodes with the same key from a linked list.arrow_forwardSuppose you have a hash table with seven entries (indexed 0 through 6). This table uses open addressing with the hash function that maps each letter to its alphabet code (a = A = 0, etc.) modulo 7. Rehashing is accomplished using linear-probing with a jump of 1. Describe the state of the table after each of the letters D, a, d, H, a, and h are added to the table.arrow_forwardDoes a hash table of size m always have the same number of linked lists? I just can't get my head around the function of a hash function. Provide an instance to demonstrate your point.arrow_forward
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