NWERC 2015 Presentation of solutions
... E – Elementary Math Problem Given n pairs of numbers, put +, - or * between them such that no two results are the same. Solution 1 Make bipartite graph with n nodes on one side, and a node for every possible answer on the other side ...
... E – Elementary Math Problem Given n pairs of numbers, put +, - or * between them such that no two results are the same. Solution 1 Make bipartite graph with n nodes on one side, and a node for every possible answer on the other side ...
Geometry
... ACTM State Exam 2011 – Geometry In each of the following select the best answer and mark the corresponding letter on the answer sheet. You should complete the first 25 questions before attempting the Tie Breaker problems since they will only be used to break ties for 1st, 2nd, and/or 3rd place. Plea ...
... ACTM State Exam 2011 – Geometry In each of the following select the best answer and mark the corresponding letter on the answer sheet. You should complete the first 25 questions before attempting the Tie Breaker problems since they will only be used to break ties for 1st, 2nd, and/or 3rd place. Plea ...
... UC. One of the most obvious advantages of the LR method is its quantitative measure of the solution quality since the cost of the dual function is a lower bound on the cost of the primal problem 29. It is seen that LR methods give better solutions than the metaheuristic approaches mentioned above ...
Knapsack problem
The knapsack problem or rucksack problem is a problem in combinatorial optimization: Given a set of items, each with a mass and a value, determine the number of each item to include in a collection so that the total weight is less than or equal to a given limit and the total value is as large as possible. It derives its name from the problem faced by someone who is constrained by a fixed-size knapsack and must fill it with the most valuable items.The problem often arises in resource allocation where there are financial constraints and is studied in fields such as combinatorics, computer science, complexity theory, cryptography and applied mathematics.The knapsack problem has been studied for more than a century, with early works dating as far back as 1897. It is not known how the name ""knapsack problem"" originated, though the problem was referred to as such in the early works of mathematician Tobias Dantzig (1884–1956), suggesting that the name could have existed in folklore before a mathematical problem had been fully defined.