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The problem is named after Flavius Josephus, a Jewish historian and leader who lived in the 1st century. According to Josephus's firsthand account of the siege of Yodfat, he and his 40 soldiers were trapped in a cave by Roman soldiers. They chose suicide over capture, and settled on a serial method of committing suicide by drawing lots.
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 good example that highlights the pros and cons of using dynamic arrays vs. linked lists is by implementing a program that resolves the Josephus problem. The Josephus problem is an election method that works by having a group of people stand in a circle. Starting at a predetermined person, one may count around the circle n times.
Then it gives a proof that uses a different specific example ("we explicitly solve the problem when every second person will be killed"). But in no case does it actually give the answer. I believe the answer for the Josephus example of 41 participants and a step of three is that position 31 is the survivor and position 16 is the next-to-last.
The included problems are not arranged according to any specific order. [5] The book includes ideas that aimed to keep readers from boredom by adopting a wide variety of problems such as calculations of areas of rice fields, problems related to the construction of rivers and riverbanks, geometric progression, and the Josephus problem. The ...
In Connecticut’s 2nd Senate District, for example, Republicans decreased their loss margin by some 20 percentage points. But Democrats see promising signs in other areas. In Iowa’s 45th Senate District, where Clinton defeated Trump by about 16 percentage points, Democrat Jim Lykam defeated Mike Gonzales, the GOP candidate, by an almost 50 ...
Echoing France's Napoleon Bonaparte, U.S. President Donald Trump on Saturday took to social media to signal continued resistance to limits on his executive authority in the face of multiple legal ...
For example, Antiquities of the Jews could be written for Jews—"a few scholars from Laqueur onward have suggested that Josephus must have written primarily for fellow Jews (if also secondarily for Gentiles).