3. Given a hash table with m=11 entries and the following hash function h1 and step function h2: h1 (key) = key mod m h2 (key) = {key mod (m-1)} + 1 Insert the keys {22, 1, 13, 11, 24, 33, 18, 42, 31} in the given order (from left to right) to the hash table using each of the following hash methods: a. Chaining with h1= h (k) = hl(k) b. Linear-Probing with h1 = h(k,i) = (h1(k)+i) mod m c. Double-Hashing with h1 as the hash function and h2 as the step function = h(k,i) = (h1 (k) + ih2(k)) mod m Hash Table Chaining Linear Probing Double Hashing 1 2 3 4 5

3. Given a hash table with m=11 entries and the following hash function h1 and step function h2: h1 (key) = key mod m h2 (key) = {key mod (m-1)} + 1 Insert the keys {22, 1, 13, 11, 24, 33, 18, 42, 31} in the given order (from left to right) to the hash table using each of the following hash methods: a. Chaining with h1= h (k) = hl(k) b. Linear-Probing with h1 = h(k,i) = (h1(k)+i) mod m c. Double-Hashing with h1 as the hash function and h2 as the step function = h(k,i) = (h1 (k) + ih2(k)) mod m Hash Table Chaining Linear Probing Double Hashing 1 2 3 4 5

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Similar questions

1. Draw the 11-entry hash table that results from using the hash function h(i)=(3i+5) mod 11, to hash the keys 12, 44, 13, 88, 23, 94, 11, 39, 20, 16, and 5, assuming collisions are handled by separate chaining. a) What is the result of the previous exercise, assuming collisions are handled by linear probing? b) Show the result of the first question, assuming collisions are handled by quadratic probing, up to the point where the method fails. c) What is the result of the first question, when collisions are handled by double hashing using the secondary (or auxiliary) hash function H'(k)=7-(k mod 7)?
Consider a OBHTin which the keys are student identifiers (strings of 6 digits). Assume the following number of buckets and hash function: m = 100; hash(id) = first two digits of id Starting with an empty hash table, show the effect of successively adding the following student identifiers: 000014, 990021, 990019, 970036, 000015, 970012, 970023. Use following function as second hash function hash(id) = last digit of id 2. Show the effect of deleting 000014 from the hash table
Answer 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 False
Consider a hash table of size 11 with hash function h(x) = x mod 11. Draw the tablethat results after inserting, in the given order, the following values: 26, 57, 40, 50,13, 33, and 72 for each of the three scenarios below: i. When collisions are handled by separate chaining. ii. When collisions are handled by double hashing using a second hash function ℎ’(?) = (? ??? 7) + 1. Hint, the overall (combined) hash function is ?(?) = ( ℎ(?) + ? × ℎ′(?) ) ??? 11, where i = 0, 1, 2, 3, … iii. When collisions are handled by quadratic probing with a quadratic probe function ℎ′(?,?) = (ℎ(?) + 0.5 ? + 0.5 ?2) ??? 11 where ? = 1, 2, 3,….
Given the array of size 17, and the hashing function h(x) = x%17, at which array location would data with key value 86 be stored? Assuming 35 and 69 have already been inserted in the array and the quadratic probing is used for collision. Question 10 options: 6 5 4 3
Given the array of size 13, and the hashing function h(x) = x%13, at which array location would data with key value 33 be stored? Assuming 45 and 71 have already been inserted in the array and the quadratic probing is used for collision. Question options: A. 7 B. 10 C. 9 D. 2 E. 11
Consider the following sequence of key-value pairs: (1, "A"), (2, "B"), (3, "C"), (4, "D"), (5, "E"), (6, "F"), (7, "G"), (8, "H"), (9, "I"), (10, "J"). Insert these key-value pairs into an empty hash table of size 5 using the hash function h(k) = k mod 5. Draw the resulting hash table after each insertion. Assume that collisions are handled using linear probing.
20 a) Given a hashing function hash(x) = ((x * x) + x) % 11, Insert the value 17 into each hash table using the rules specified below. Note that some of the boxes in each hash table are already full. If there’s a collision, start the probing at i = 0 and increment from there if you collide. b) After we insert our new data (that 17) into these hash tables, should we resize and rehash the values? Why or Why not? c) If this was a hash table using separate chaining instead of linear probing, would it be time to rehash after we insert 17?
Hey, Explain why using the following functions f1 and f2 as hash functions for a hash table of size m of integers is problematic. Here m is a prime number.1. f1(x)= xHere x denotes the cross sum of x. 2. f2(x)=⌊x/m⌋ mod m Thank you in advance!
B) Suppose a hash table has 11 locations, keys are placed in the table using the hash function f (x) = x mod 11, and linear chaining is used to resolve collisions Draw a picture of the result of storing the following keys in the table: 0, 12, 42, 18, 6, 22, 8, 105, 97
For a hash table of size 23, the hash function used is h1(key)=key%23. Initially the table contains a single key stored in the table at location 15. If double hashing is used, and h2(key) = 7 – key%7, where will the next 3 keys (key1=15, key2=84, key3=383) that hash to location 15 be stored? Question 12 options: 6, 19, 24 21, 22, 17 21, 14, 20 6, 13, 14
Consider a hash table (hash function and hashing scheme) and its maincharacteristics.Which of the following is FALSE ?O A hash function's output is deterministic.O Linear Probe Hashing is the most basic hash function.O A hash table provides on average O(1) operation complexity.O A hashing scheme handles key collisions after hashing.