Section 5: Advanced Dynamic Programming Solutions CS 124 Spring 2021 1 Problem 1: Optimal Taxation You are the king of a kingdom that’s set up like a tree, and you want to collect some taxes. You know that each city has a “tax potential” ti that you can collect. However, you don’t want to tax […]
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CS 124 Homework 4: Spring 2021 Your name: Collaborators: No. of late days used on previous psets: No. of late days used after including this pset: Homework is due Wednesday 2021-03-10 at 11:59pm ET. You are allowed up to twelve (college)/forty (extension school) late days through the semester, but the number of late days you
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Verified software: theories, tools, experiments Vision of a Grand Challenge project Tony Hoare and Jay Misra July 2005 Microsoft Research Ltd. and the University of Texas at Austin. Summary. The ideal of correct software has long been the goal of research in Computer Science. We now have a good theoretical understanding of how to describe
CS124 Lecture 9 Spring 2010 9.1 The String reconstruction problem The greedy approach doesn’t always work, as we have seen. It lacks flexibility; if at some point, it makes a wrong choice, it becomes stuck. For example, consider the problem of string reconstruction. Suppose that all the blank spaces and punctuation marks inadvertently have been
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Formal Methods of Software Design, Eric Hehner, segment 26 page 1 out of 4 [talking head] This lecture is about data transformation. That means replacing some variables by other variables. Suppose we have specified a data structure and its operations as a program theory. That means we have users variables and implementers variables. Our choice
CS 124 Section 0 Biased Coins, Math Review, Sorting/Searching Lavanya Singh 2021 Goals • CALCULATIONS • Sums and Series • Probability and Counting • PROOFS • Induction • Contradiction • BIG-O • SORTING/SEARCHING • Binary Search • Mergesort 1 Calculations 1 Sums and Series Here are some important sums: • ∑n1 i=n(n+1)/2 • ∑n1 i2
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CSE475 HW3, Monday, 03/15/2021, Due: Thursday, 03/25/2021¶ Linear Regression and Gradient Descent¶ Instruction¶ 1. Please submit your Jupyter Notebook file (the. ipynb file) containing your code and the outputs produced by your code (note that .ipynb file can contain both the code and the outputs) to Canvas. Please name your file CSE475-HW3-LastName-FirstName.ipynb. 2. If you
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CS124 Lecture 7 In today’s lecture we will be looking a bit more closely at the Greedy approach to designing algorithms. As we will see, sometimes it works, and sometimes even when it doesn’t, it can provide a useful result. Horn Formulae A simple application of the greedy paradigm solves an important special case of
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CS124 Lecture 6 Spring 2011 Disjoint set (Union-Find) For Kruskal’s algorithm for the minimum spanning tree problem, we found that we needed a data structure for maintaining a collection of disjoint sets. That is, we need a data structure that can handle the following operations: • MAKESET(x) – create a new set containing the single
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CS124 Lecture 4 Spring 2011 Breadth-First Search A searching technique with different properties than DFS is Breadth-First Search (BFS). While DFS used an implicit stack, BFS uses an explicit queue structure in determining the order in which vertices are searched. Also, generally one does not restart BFS, because BFS only makes sense in the context
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