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Q1) Data types or primitives allow computer languages to more easily store data that we use in common everyday life. Numbers and sentences are a prime example. Using the C# language as a guide, make a table using the following headings below and describe the data types available and their characteristics.
You should have a minimum of 6 data types defined.
Data Type Size (bits or bytes) Min Value Max Value Common/Real-world example usage
For each data type, the common/real-world example should include 4 possible uses.
Using common data types, modern computer languages such as C# including class libraries that include more complex structures:
Make a list of some of the common data structures provided by C#. You should have a minimum of 4 different data types.
Consider T be augmented red-black tree, where each node x has attribute x.size, which is number of internal nodes in subtree rooted at x. Given such augmented red-black tree T.
Write down algorithm, using pseudocode, to perform the following task, Given a string of numbers, recognize all of the substrings that form numbers that are divisible by 3.
Describe a sorting algorithm to be parsimonious if it never compares same pair of input values twice. (Supose that all the values being sorted are distinct.).
If you get ciphertext message YPHDCRPBEQTAA, decrypt to recover plaintext.
Explain the process of insertion into a heap-implemented priority queue, and informally explain its complexity and the process of removal from a heap-implemented priority queue, and informally explain its complexity.
Describe a FAIRCOIN algorithm that returns either 0 or 1 with equal probability, using ONEINTHREE as your only source of randomness.
Explain the following sorting techniques using appropriate algorithms- (i) selection sort (ii) bubble sort
Data Structures and Algorithm Design
Explain the FIFO structure of the queue Explain how you would implement the queue data structure in its simplest form. Illustrate your answer fully with the necessary sample code
Describe sorting algorithms and how they work
Assume you have one machine and a set of n jobs a1, a2, ..., an to process on that machine. Determine the schedule that obtains the maximum amount of profit. Compute the running time of your algorithm?
n vehicles occupy squares (1, 1) through ( n , 1) (i.e., the bottom row) of an n × n grid. The vehicles must be moved to the top row but in reverse order
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