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What do we mean by algorithm? What are the characteristics of a good and relevant algorithm?
An algorithm is "a step-by-step procedure for finishing some task'' An algorithm can be specified in many ways. For example, it can be written down in English (or French, or any other language). However, we are interested in algorithms which have been specifically specified using an appropriate mathematical formalism--such as a programming language.
Each and Every algorithm should have the following five characteristics:
1.Input characteristics: The algorithm should be taking zero or more input.
2. Output characteristics: The algorithm should be producing one or more outputs.
3. Definiteness characteristics: All the steps of algorithm should be defined unambiguously.
4. Effectiveness characteristics: A person should be able to calculate the values involved in the process of the algorithm using paper and pencil.
5. Termination characteristics: An algorithm must terminate after a finite number of steps which means it should not be infinite.
Example: (Single rotation into AVL tree, while a new node is inserted into the AVL tree (LL Rotation)) Figure: LL Rotation The rectangles marked A, B & C are trees
Think of a program you have used that is unacceptably slow. Identify the specific operations that make the program slow. Identify other basic operations that the program performs q
1) Why space complexity is comparatively more critical than time complexity? 2) Determine the space complexity of Euclid Algorithm?
Sorting Algorithm A sorting algorithm is an algorithm which puts elements of a list in a certain order. The most-used orders are numerical order and lexicographical order. Eff
Data records are stored in some particular sequence e.g., order of arrival value of key field etc. Records of sequential file cannot be randomly accessed i.e., to access the n th
The Linked list is a chain of structures wherein each structure contains data in addition to pointer, which stores the address (link) of the next logical structure in the list.
This algorithm inputs 5 values and outputs how many input numbers were positive and how many were negative. Data to be used: N = 1, -5, 2, -8, -7
Column Major Representation In memory the second method of representing two-dimensional array is the column major representation. Under this illustration, the first column of
traverse the graph as BFS
Explain th term input and output- Pseudocode Input and output indicated by the use of terms input number, print total, output total, print "result is" x and so on.
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