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Problem: Find the Winner of the Circular Game

Explore how to solve the circular game winner problem by simulating friend eliminations with a queue implemented as a deque. Learn to efficiently rotate and remove elements to identify the last remaining friend, understanding 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 ...