Theory NO. 2: Josephus Problem


Problem: If you’ll eliminate every second person from the circle of n people going clockwise, which one stays alive? (As first the second person dies)

Aswer: if n=2^{n}+l then the person with number 2l +1 stays alive. Equivalently it’s a one-bit-shift-left of number n written binary

I will not write here the whole solution, thus it can be found in a great book “Concrete Mathematics. A foundation for Computer Science”


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