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In computer science and mathematics, the Josephus problem (or Josephus permutation) is a theoretical problem related to a certain counting-out game. Such games are used to pick out a person from a group, e.g. eeny, meeny, miny, moe. A drawing for the Josephus problem sequence for 500 people and skipping value of 6.
The Hardest Logic Puzzle Ever is a logic puzzle so called by American philosopher and logician George Boolos and published in The Harvard Review of Philosophy in 1996. [1] [2] Boolos' article includes multiple ways of solving the problem.
In a given instance of the stable-roommates problem (SRP), each of 2n participants ranks the others in strict order of preference. A matching is a set of n disjoint pairs of participants. A matching M in an instance of SRP is stable if there are no two participants x and y , each of whom prefers the other to their partner in M .
In microeconomics, the utility maximization problem is the problem consumers face: "How should I spend my money in order to maximize my utility?" It is a type of optimal decision problem . It consists of choosing how much of each available good or service to consume, taking into account a constraint on total spending (income), the prices of the ...
A common algorithm design tactic is to divide a problem into sub-problems of the same type as the original, solve those sub-problems, and combine the results. This is often referred to as the divide-and-conquer method; when combined with a lookup table that stores the results of previously solved sub-problems (to avoid solving them repeatedly and incurring extra computation time), it can be ...
The secretary problem demonstrates a scenario involving optimal stopping theory [1] [2] that is studied extensively in the fields of applied probability, statistics, and decision theory. It is also known as the marriage problem, the sultan's dowry problem, the fussy suitor problem, the googol game, and the best choice problem.
Adequate speed was always a problem, because of the slow overland transportation system, and underfunding. Its network had 1,936 posthouses every 60 li along major routes, with fresh horses available every 10 li between them. [30] The Qing operated 1,785 posthouses throughout their lands. More efficient, however, was the system linking the ...
Woodstock was initiated through the efforts of Michael Lang, Artie Kornfeld, Joel Rosenman, and John P. Roberts. [18] [19] Roberts and Rosenman financed the project. [18]Lang had some experience as a promoter, having co-organized the Miami Pop Festival on the East Coast the previous year, where an estimated 25,000 people attended the two-day event.