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 11.5, Problem 1E
Program Plan Intro

To show that the probability of no collision is p(n,m)en(n1)/2m using open hashing and uniform hashing techniques.

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Consider a linear hash table that uses 4-bit hash keys and stores two records per bucket. The capacity threshold is 75%; that is, we create a new bucket whenever the number of records is more than 3/2 the current number of buckets. Simulate the insertion, into an initially empty hash table, of records with (hash values of) keys 1111, 1110, 1101,..., 0001, 0000, in that order. Which of the following keys never appears alone in a bucket at any time during the insertion sequence? a) 1110 b) 1011 c) 0100 d) 1001
Hey, Given is a hash table with an initial size of 1000 and a hash function that ensures ahashing, where the keys are chosen randomly under the uniformity assumption.me are chosen. After how many insertions do you have to expect a collision probability of more than 80%?of more than 80%?To keep the number of collisions low during hashing, one can reduce the size of the has-hash table after a certain number of insertions. After which number n of inserted elements must the table be increased for the first time, if no collision occurred in the previous n - 1 elements and the probability of a collision in the n-th insertion should be less than 20%?
Suppose that the following keys are inserted into an initially empty linear-probing hash table, but not necessarily in the order given, key hash A 1 D N 1 4 and it result in the following hash table: 1 3 4 6 M A D L Assuming that the initial size of the hash table was 7 and that it did not grow or shrink, Choose the possible sequence of keys that could have been inserted. O A, N, M, D, X, L, S O , M, N, A, X, D, L O X, D, L, S, M, N, A O A, N, M, D, X, L, S
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