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Prim’s Algorithm
The following problem arises naturally in many practical situations: given n points, connect them in the cheapest…
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Greedy Technique
Let us revisit the change-making problem faced, at least subconsciously, by millions of cashiers all over the…
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The Knapsack Problem and Memory Functions
We start this section with designing a dynamic programming algorithm for the knapsack problem: given n items…
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Warshall’s and Floyd’s Algorithms
In this section, we look at two well-known algorithms: Warshall’s algorithm for computing the transitive…
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Greedy approach vs Dynamic programming
A Greedy algorithm is an algorithmic paradigm that builds up a solution piece by piece, always choosing…
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Knapsack Problem
Here is another well-known problem in algorithmics. Given n items of known weights w1, w2, . . .…
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Exhaustive Search
Exhaustive Search: 1. Traveling Salesman Problem 2. Knapsack Problem 3. Assignment Problem 4. Exercises Many…
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Closest-Pair and Convex-Hull Problems by Brute Force
In this section, we consider a straightforward approach to two well-known prob-lems dealing with a…
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Closest Pair of Points using Divide and Conquer algorithm
We are given an array of n points in the plane, and the problem is…
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Algorithm Visualization
In addition to the mathematical and empirical analyses of algorithms, there is yet a third…