Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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With Hash tables we have chaining and open addressing. What are the
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- Consider the following hash table: [None, None, None, 36, 81, None, 17, None, 30, None, None] What would the probe sequence be when inserting 61 into the hash table if the double probing with a hash function of key % 11 and the second hash function of 7- (key % 7) was used to revolve collisions? Note: Write the expected result as a Python list of indices. IMPORTANT: The penalty scheme for this question is 50, 100%. Answer: Checkarrow_forwardHashing (4’). For the input 30, 20, 56, 75, 31, 25 and hash function h(K) = K mod 12a. (1’) Construct the open hash table.b. (1’) Find the average number of key comparisons in a successful search in this table.c. (1’) Construct the closed hash table.d. (1’) Find the average number of key comparisons in a successful search in this table.arrow_forwardThe following is a prioritised list of considerations that might impact a hash table's Big-O performance:arrow_forward
- Does a hash table of size m consistently contain the same number of linked lists? I am unable to identify the purpose of a hash function, no matter how hard I attempt. To demonstrate your thesis, provide an example.arrow_forwardIs there a set limit on the number of linked lists that may be included in a hash table of size m? I've been trying to get my head around the purpose of a hash function, but I just can't seem to get it. Provide an example that helps to demonstrate how your theory is correct.arrow_forwardIs it consistent to say that a hash table of size m always contains the same number of linked lists? I've been trying to understand the purpose of a hash function for ages. Give an illustration of your point with an example.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_forwardUsing quadratic probing, what would be the answer for the following questions if you insert the following keys in sequence: 10, 17, 24, 31, 21, 19. (N = 7) While doing the insertions keep track of the number of collisions for each key and get the final configuration of the structure. Use the following quadratic hashing function: ((x mod 7) + j²) mod 7. What is the final configuration of the hash table? Use the indices from 0 to 6 to report where each key will be mapped. If the position has no value use the word empty. For example, if the final configuration is 10,17,24,31,21,19 (starting from index 0), your answer in the box should be 10,17,24,31,21,19,empty. Please don't use blank spaces or quotes to separate the values. Report the number of collisions for each key using the order of insertion. For example, if you answer as 0,1,3,1,0,1, this means that you found 0 collisions for key 3, 1 collision for key 10, 3 collisions for key 17, 1 collision for key 24, 0 collisions…arrow_forwardExplain the collision resolution techniques used in hash tables when dealing with key collisions in dictionaries.arrow_forward
- 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.arrow_forwardANSWER ALL QUESTIONSarrow_forwardInsert the following sequence of keys in the hash table.Keys = {4, 2, 1, 3, 5, 6, 8}Use linear probing technique for collision resolution: h(k, i) = [h(k) + i] mod mHash function, h(k) = 3k + 1Table size, M = 10 Draw the hash table, compute the index where the hashvalue will be inserted for each key, and show how you would use the technique when a collisionoccurs.arrow_forward
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