Introduction to Algorithms
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 11.4, Problem 1E
Program Plan Intro

To illustrate the insertion of keys using linear probing, quadratic probing and double hashing.

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Consider inserting the keys 10, 22, 31, 4, 15, 28, 17, 88, 59 into a hash table of length m = 11 using open addressing with the auxiliary hash function h'(k) = k. Illustrate the result of inserting these keys using linear probing, using quadratic probing with c1 = 1 and c2 = 3, and using double hashing with h1(k) = k and h2(k) = 1 + (k mod(m − 1)).
Given an empty hash table of size 7 that uses open addressing, the following sequence of keys is to be inserted: 15 17 8 23 3 5 Insert these keys using each of the following approaches. h(x) = x % 7; linear probing 0   1   2   3   4   5   6     2. h(x) = x % 7; quadratic probing 0   1   2   3   4   5   6     3.h(x) = x % 7; double hashing with stepSize = 5 - (x % 5); 0   1   2   3   4   5   6
In Python, implement a hashing table data structure of size 20, which can cope with collisions. Thus, you must implement the closed collision system in its three modes: Linear scanQuadratic scanDouble hashing scan. For halt use halt(k)= (k mod (m - 1)) + 1, where m is the size of the table. The data to be managed are students from a certain university who have a 5-digit registration number and it is unique. In addition, the student has a name, age and address. Create a .txt file with 10 students (one for each line) and have them loaded into your program. Build a menu of options where you can: - Find a student and print his data if found and position in the table. Otherwise print a "Not Found" message.
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