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 11.3, Problem 1E
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To determine the usage of hash value to find the key which is a long character string.
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Can m-size linked lists be stored in a hash table? Why do we need to use a hash function, exactly? Give us a sample.
Can m-sized linked lists be stored in a hash table? Why do we need hash functions, exactly? Give us a specific instance.
How is a hash table more efficient than a linear list? What is the problem?
The implementation of a hashtable
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- We use Linked Lists to store all of our hash map data due to the sloppy manner in which the map was originally constructed. This substantially reduces the efficacy of a hash map.arrow_forwardTo what extent does a hash table improve upon the efficiency of a traditional list? Where does this issue likely lie? Using a hash table in your code.arrow_forwardDoes a hash table exist that can handle linked lists of length m? What goals do you hope to achieve by using the hash function? Give an instance.arrow_forward
- Implement 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_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_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_forward
- Exists a hash table containing m linked lists? What use does a hash function serve? Give an instance.arrow_forwardA hash table is an efficient data structure to store and access data via keys. In this problem, you need to find the longest subarray of distinct elements. For example, given an array A = <milk, water, 6724, water, soda, beer, apple, grape, wine>, the longest subarray is <milk, water, 6724, soda, beer, apple, grape, wine> Hint: you need to keep track and update the positions of the elements. a) Explain how many unique subarrays are there from a given array b) Describe your ideas on how to solve the problem, especially how hash tables can be used to keep track of the important information c) Write the most efficient algorithm (pseudo code) to solve this problem with complexity analysis. You can assume that a good hash function is given.arrow_forwardWhat advantages does a hash table have over a linear list? What presumably is the issue?putting a hashtable in placearrow_forward
- The hash coding method described in the text links all the entries having the same hash code together on a linked list. An alternative method is to have only a single n- slot table, with each table slot having room for one key and its value (or pointers to them). If the hashing algorithm generates a slot that is already full, a second hashing algorithm is used to try again. If that one is also full, another is used, and so on, until an empty is found. If the fraction of the slots that are full is R, how many probes will be needed, on the average, to enter a new symbol?arrow_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_forward
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