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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 problem for graphs is NP-complete if the edge lengths are assumed integers. The problem for points on the plane is NP-complete with the discretized Euclidean metric and rectilinear metric. The problem is known to be NP-hard with the (non-discretized) Euclidean metric. [3]: ND22, ND23
A variant of counting-out game, known as the Josephus problem, represents a famous theoretical problem in mathematics and computer science. Examples Several simple ...
Josephus problem Flavius Josephus ( / dʒ oʊ ˈ s iː f ə s / ; [ 4 ] Ancient Greek : Ἰώσηπος , Iṓsēpos ; c. AD 37 – c. 100 ), born Yosef ben Mattityahu [ a ] ( Hebrew : יוֹסֵף בֵּן מַתִּתְיָהוּ ), was a Roman–Jewish historian and military leader.
The principal source for the story of Theudas' revolt is Josephus, who wrote: . It came to pass, while Cuspius Fadus was procurator of Judea, that a certain charlatan, whose name was Theudas, persuaded a great part of the people to take their effects with them, and follow him to the Jordan river; for he told them he was a prophet, and that he would, by his own command, divide the river, and ...
This article says, “Josephus had an accomplice; the problem was then to find the places of the two last remaining survivors (whose conspiracy would ensure their survival). It is alleged that he placed himself and the other man in the 31st and 16th place respectively (for k = 3 below).”
One of Daytop’s founders, a Roman Catholic priest named William O’Brien, thought of addicts as needy infants — another sentiment borrowed from Synanon. “You don’t have a drug problem, you have a B-A-B-Y problem,” he explained in Addicts Who Survived: An Oral History of Narcotic Use In America, 1923-1965, published in 1989. “You ...
Continue removing the nth remaining numbers, where n is the next number in the list after the last surviving number. Next in this example is 9. One way that the application of the procedure differs from that of the Sieve of Eratosthenes is that for n being the number being multiplied on a specific pass, the first number eliminated on the pass is the n-th remaining number that has not yet been ...