Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN: 9780133594140
Author: James Kurose, Keith Ross
Publisher: PEARSON
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- Problem 1: What is the 11-entry hash table that results from inserting the keys 19, 37, 20, 81, 30, 87, 18, 32, 27, 9, and 10? The hash function that you should use is h(i) = (5i + 3) mod 11. You can assume that collisions are handled using chaining. Problem 2: What is the result of the previous exercise but now assume that collisions are handled by using linear probing, instead of chaining.arrow_forward8. Insert the following keys one-by-one into an initially empty hash table of size 7. Use the hash function h(x) = x mod 7 Show the result for {10, 1, 18, 15, 26, 11, 19} (a) a separate chaining hash table (do not rehash if the load factor becomes too large). (b) a table with linear probing, i.e. using the probing function f(i) = i. For parts (c) and (d), it is possible that you will not be able to insert some of the keys into the table. If you find such a key, rehash the table into a new table of size 11. You need to modify the hash function h(x) accordingly to adjust for the new table size. You do not have to change g(x) for part (d). Do not rehash earlier for any of the tables (even if the load factor becomes too large). (c) a table with quadratic probing, i.e. using the probing function f(i) = i² (d) a table that uses double hashing with a secondary hash function, i.e. f(i) = i* g(x), where the secondary hash function is g(x) = 5 - (x mod 5).arrow_forwardConsider a hash table with open addressing with 11 slots. Using the hash function h(x) = x mod 11, insert the keys (52,44,56,61,64) into the table in the same order. Assume that keys 0,1,8,9 already in the table .Use Linear probing and Quadratic probing for collision resolution Show the results in the two separate tablesarrow_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_forwardhelparrow_forwardYou just have to post the answer, I'll do the explanation myself.arrow_forward
- extermal (overilow) chaining is used to resolve collisions. The hash function is suh DL. Consider a hash table with n buckets, where extermal (overilow) chaining is used t resolve collisions. The hash tunction is that the probability that a key value is hashed The hash table is to a particular bucket is initially empty and K distinct values a inserted in the table.arrow_forwardAnswer the following ture or false question 1. The 9-entry hash table that results from using the hash function, h(i) = (2i+7) mod 9, to hash the keys 12, 5, 13, 4, 10, 19, 8, 3, and 28, assuming collisions are handled by linear probing as follows: 0 1 2 3 4 5 6 7 8 10 19 3 28 12 8 13 4 5 Group of answer choices True False 2. Here is how the built-in sum function can be combined with Python’s comprehension syntax to compute the sum of all numbers in an n x n data set, represented as a list of lists: sum(sum(subset) for subset in data) Group of answer choices True False 3. Here is the comparison for asymptotic growth rate: (logn) < (n) < (nlogn) < (n^2) < (n^3) < (2^n) Group of answer choices True False 4. Here is the Python’s list comprehension syntax to produce the list of this 26 characters ['a', 'b', 'c', ..., 'z']: [chr(k) for k in range(97, 123)] Group of answer choices True Falsearrow_forwardGiven the hash function: h(i) = i % 13Show the array after inserting the following keys: 18, 41, 22, 44, 59, 32, 31, 73, in this order. Use linear probing to resolve collisions.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_forwardComputer Science A hash function h defined h(k)=k mod 7, and linear probing is used to insert the keys 44, 45, 79, 55, 91, 18, 63 into a table indexed from 0 to 6. What will be the location of key 18?arrow_forward
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