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Problem: Find the Winner of the Circular Game

Explore how to use a queue to simulate a circular elimination game where friends are removed sequentially until one winner remains. Learn the implementation details and analyze the algorithm's time and space complexity.

Statement

A group of n friends is seated in a circle, numbered from 11 to n in clockwise order. Specifically, moving clockwise from friend i leads to friend i + 1 for 11 \leq i << n, and moving clockwise from friend n wraps back to friend 11.

The game proceeds as follows:

  1. Begin at friend 1 ...