Introduction to Design & Analysis of Algorithms Quiz
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Questions and Answers

What is the problem-solving process in the context of algorithm design and analysis?

The problem-solving process includes problem specification, designing an algorithm, implementing the algorithm, compiling the program, and obtaining the executable solution.

What are the characteristics that algorithms must possess?

Algorithms must be correct, meaning they produce appropriate outputs for each input, and efficient, running as quickly as possible and using as little memory as possible.

Can you provide an example of a simple algorithm?

A simple algorithm is finding the smallest number among a sequence of numbers. The algorithm iterates over the sequence and compares each element to find the smallest one.

What is the purpose of an algorithm?

<p>The purpose of an algorithm is to solve a well-specified computational problem by providing a sequence of instructions that describe how to perform the task or process.</p> Signup and view all the answers

What is the performance of an algorithm dependent on?

<p>The performance of an algorithm is dependent on the input size, typically denoted as 'n'. The time and memory usage of the algorithm can be measured as a function of 'n'.</p> Signup and view all the answers

Match the following steps with their correct order in the problem-solving process:

<p>Problem specification = First Design Algorithm = Second Implementation = Third Program Compilation = Fourth Executable (solution) = Fifth</p> Signup and view all the answers

Match the following elements with their definitions in the context of algorithms:

<p>Input = Data that is provided to the algorithm Output = Result produced by the algorithm Efficient = Algorithm runs as quickly as possible and uses as little memory as possible Correct = Algorithm produces an appropriate output for each input</p> Signup and view all the answers

Match the following steps with their correct order in the process of finding the maximum of 10 numbers:

<p>Start = First Let count = 1 = Second Read a number, say x = Third Let max = x = Fourth Check if count is equal to 10 = Fifth</p> Signup and view all the answers

Match the following elements with their definitions in the context of a simple algorithm to find the smallest number:

<p>T = An array of n elements min = Variable storing the smallest number n = Size of the array Output min = Result produced by the algorithm</p> Signup and view all the answers

Match the following elements with their definitions in the context of algorithms:

<p>Algorithm = A sequence of instructions describing how to do a task C++ Program = Implementation of an algorithm Performance = Function of n, indicating how well the algorithm performs Input = Data that is provided to the algorithm</p> Signup and view all the answers

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