The problem is named after Flavius Josephus, a Jewish historian and leader who lived in the 1st century. According to ...

Josephus was one of 41 Jews who were trapped in a cave. Instead of surrendering, this group decided to commit suicide. They all agreed that every second person among the living would kill themselves, ...

We are given the natural numbers $n$ and $k$. All natural numbers from $1$ to $n$ are written in a circle. First, count the $k$-th number starting from the first one ...

The Australian Shuffle consists of placing a deck of cards onto a table according to this rule: put the top card on the table, the next card on the bottom of the deck, and repeat until all the cards ...

ABSTRACT: The Australian Shuffle consists of placing a deck of cards onto a table according to this rule: put the top card on the table, the next card on the bottom of the deck, and repeat until all ...

Abstract: Image encryption is an efficient visual technology to protect private images. This paper develops an image encryption algorithm utilizing the principles of the Josephus problem and the ...