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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 {{k, l} : k ≠ l and h(k) = h(l)}?
Data Structures and Algorithm Design
Provides learners with an understanding of how data structures are used in algorithms and enables them to design and implement data structures
"Compression algorithms are often used in forensics. Suppose you are involved in a case and have been asked by the lawyer to explain, in general terms.
Consider the following graph representing the state space and operators of a navigation problem: What is the minimum number of nodes expanded and the storage needed for BFS and DFS?
If this message is encrypted with DES by using a random 56-bit key, determine encrypted message's entropy?
Let A[1, n] be an array of real numbers. Create an algorithm to perform any sequence of the following two operations: Add(i, x): add the value x to A[i].
Design an algorithm to produce a list of customers from the Glad Rags Clothing Company's customer master file. Each record on the customer master file contains the customer's number.
Devise an algorithm that generates an access control matrix A for any given history matrix H of the Chinese Wall model. A significant portion of the grade for this problem involves your justification of your algorithm.
Describe the algorithm in psuedo-code. You should give thought to what data structures(s) make sense for e client implementation. Determine computational complexity of your algorithm.
Determine correct public keys for other party, and assuming that Eve can intercept any messages.
Write a function, swapSubTrees, that swaps all of the left and right subtrees of a binary tree. write a method singleParent, that returns the number of nodes in a binary tree that have only one child.
You are given a DAG called G which is the prerequisite graph for a set of courses required for a degree. Each vertex corresponds to course. Provide a high-level description of algorithm which labels each vertex in G with minimum number of semesters..
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