Computer scientists have tackled the library sorting problem, involving efficient book organization to minimize time. A groundbreaking algorithm introduced a random, non-smooth approach, significantly reducing the previous upper bound insertion time to (log n) times (log log n)3 – very close to the theoretical limit. This innovative method uses a limited degree of history to predict future trends, allowing for strategic random decisions. This departure from traditional smooth algorithms has impressed experts with its potential applications in various fields. While the goal of achieving log n insertion time is within reach, the unexpected nature of future advancements remains a fascinating aspect of this research.
https://www.quantamagazine.org/new-book-sorting-algorithm-almost-reaches-perfection-20250124/