Suppose we use a hash function h to hash n distinct keys into an array T of length m. Assuming simple uniform hashing, what is the expected number of collisions? More precisely, what is the expected cardinality of ffk; lg W k ¤ l and h.k/ D h.l/g?

A hash-map has been constructed with double-hashing by applying h;(k;) = [h(k;) + jd(k;)] mod N. The primary hashing function is given as h(k;) hashing function as d;(k;) = k;divN where div is integer division. The maximum number of cells probed is N = 13. How many cells will be probed by the call of findElement(38) = k;modN and the secondary Note: The first row contains the indices and the second row contains the elements. 1 2 4 5 6. 7 8 10 11 12 27 14 available 6. 35 25 51

Give the contents of a linear-probing hash table that results when you insert thekeys E A S Y Q U T I O N in that order into an initially empty table of initial size M= 4 that is expanded with doubling whenever half full. Use the hash function 11 k % Mto transform the kth letter of the alphabet into a table index.

). This problem is about the chaining method we discussed in the class. Problem 3 (, Consider a hash table of size N = 11. Suppose that you insert the following sequence of keys to an initially empty hash table. Show, step by step, the content of the hash table. Sequence of keys to be inserted: