I need help getting started with a writing assignment on ADTs, abstract data types. Suggested requirements are listed below : Your manual includes one section for each ADT. Each ADT section should include subsections as follows - an introduction that describes the ADT in plain English - a formal definition of the ADT (The operations, their parameters, and their results) - applications of the ADT, with discussion of which implementation is most desirable for each. One application not discussed in class (or in the book) should be provided for each ADT, with sources cited appropriately. - implementation descriptions of at least two distinct implementations (for instance, linked list and array). If more than two implementations routinely exist, inclusion of more is desirable. - a comparison of the implementations' strong and weak points (from an ADT user's perspective, i.e., performance tradeoffs). The introduction should include definitions of data type, abstract data type, and data structure, being quite clear about the differences.
I need help getting started with a writing assignment on ADTs, abstract data types. Suggested requirements are listed below :
Your manual includes one section for each ADT. Each ADT section should include
subsections as follows
- an introduction that describes the ADT in plain English
- a formal definition of the ADT (The operations, their parameters, and their
results)
- applications of the ADT, with discussion of which implementation is most
desirable for each. One application not discussed in class (or in the book) should
be provided for each ADT, with sources cited appropriately.
- implementation descriptions of at least two distinct implementations (for
instance, linked list and array). If more than two implementations routinely exist,
inclusion of more is desirable.
- a comparison of the implementations' strong and weak points (from an ADT
user's perspective, i.e., performance tradeoffs).
The introduction should include definitions of data
type, abstract data type, and data structure, being quite clear about the differences.
An Abstract Data Type (ADT) is a high-level description of a collection of data and the operations that can be performed on that data. It defines the behavior of data and the operations without specifying their implementation details. An ADT provides a clear and abstract interface to users and allows for different implementations to be used under the hood. It provides a way to define the data structure and operations on it in a general way, independent of the underlying representation. Common ADTs include Array, Stack, Queue, Linked List, Tree, and Hash table are defined as follows:
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Stack: It is a last-in, first-out (LIFO) data structure that allows for the insertion and removal of elements at the top of the stack.
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Queue: It is a first-in, first-out (FIFO) data structure that allows for the insertion of elements at the back and the removal of elements from the front.
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Linked List: It is a linear data structure that consists of a series of nodes, where each node contains an element and a reference to the next node.
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Tree: It is a hierarchical data structure that consists of nodes connected by edges. Each node in a tree has a parent (except the root node) and zero or more children.
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Array: It is an abstract data type that represents a collection of elements, each identified by an index or a key. Each element can be of a different type or the same type. The elements are stored in contiguous memory locations and can be accessed by their index.
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Hash Table: It is a data structure that stores elements in an array and uses a hash function to map elements to array indices. The hash function must ensure that each element is mapped to a unique array index.
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