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Dynamic Programming, chapter is an introduction to dynamic programming, and the technique will be used many times later in the book when designing algorithms. Section . discusses the basic elements of dynamic programming in the context of a coin change problem. In this problem we are given a set of coin values, and our

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Algorithm Design Topics,cess data. Typically, we can replace a for loop with bit operations, which may remarkably improve the running time of the algorithm. Section . presents the amortized analysis technique, which can be used to estimate the time needed for a sequence of operations in an algorithm. Using the technique, w

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Tree Algorithms,This chapter presents a selection of such algorithms. Section?. introduces basic concepts and algorithms related to trees. A central problem is finding the diameter of a tree, i.e., the maximum distance between two nodes. We will learn two linear time algorithms for solving the problem. Section?. fo

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Geometry,ng special cases and tricky implementations. Section?. introduces the C++ complex number class which has useful tools for geometric problems. After this, we will learn to use cross products to solve various problems, such as testing whether two line segments intersect and calculating the distance fr

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