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  1. What is an algorithm? At its most basic, an algorithm is a method for solving a computational problem. Along with an algorithm comes a specification that says what the algorithm’s …

  2. We keep the material in algorithmic con- text, describing data structures, algorithm design paradigms, reduction, and problem-solving models. We cover classic methods that have been …

  3. Think of an algorithm as being a little box that can solve a certain class of computational problems. Into the box goes a description of a particular problem in that class, and then, after …

  4. Today, the mathematical analysis of algorithms occupies a central position in computer science; reasoning about algorithms independently of the speci c devices on which they run can yield in …

  5. We will compare our algorithm against theoretical lower bounds. An online algorithm is one in which we receive a sequence of inputs, where we must decide on the best possible outcome …

  6. • An algorithm may run faster on certain data sets than on others, • Finding theaverage case can be very difficult, so typically algorithms are measured by the worst-case time complexity.

  7. 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 …