Algorithms_1.pdf - Data structures and Algorithms Algorithms Definition • What is an Algorithm • Informally an algorithm is any well-defined

# Algorithms_1.pdf - Data structures and Algorithms...

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Data structures and Algorithms Algorithms

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Definition What is an Algorithm Informally an algorithm is any well-defined computational procedure that takes some value or set of values as input and produces some value or set of values as output. An algorithm is thus a sequence of computational steps that transform the input into the output. You can also view an algorithm as a tool for solving a well-specified computational problem.
Definition An algorithm is a set of well-defined steps required to accomplish some task. Algorithms also usually involve taking a system from one state to another, possibly transitioning through a series of intermediate states along the way.

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Algorithms Look at the problem : we need to sort a sequence of numbers into non deceasing order. Input: A sequence of n numbers (a1, a2, …….an) Output: A permutation (reordering ) {a 1 1, a 1 2, a 1 3…… a 1 n} of the input sequence such that a 1 1<= a 1 2 <= a 1 3……<= a 1 n For example given the input sequence {31, 41, 59, 26, 41 58} a sorting algorithm returns as output the sequence {26, 31, 41, 58, 59}
Algorithms An algorithm is said to be correct if for every input instance it halts with the correct output An algorithm can be specified in English as a computer program or even as a hardware design The only requirement is that the specification must provide a precise description of the computational procedure to be followed .

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