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The Billion Pi Challenge

探讨如何在π的十亿位小数中高效查找特定数字序列的方法,采用空间换时间的策略建立滑动窗口索引来优化搜索速度。

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https://nullprogram.com/blog/2014/09/18/The Billion Pi Challenge:如何高效的在 pi 的十亿位小数中查找特定的数字序列?文中的假设:不要求完全精确(例如某个序列出现了一万次,可以只返回其中的一千次)文中的解法:- 空间换时间,用固定长度的滑动窗口建立索引(长度为n的序列 -> 出现位置的列表)- 为了优化速度,整个索引存储在内存中,且可以用不同的滑窗长度多次建立索引(3,6,8...);- 如果用户输入的序列长度和已有的索引长度不匹配,过短的填充(12345 -> 123450~123459),过长的先截取符合最长滑窗长度的前n位,缩小可能出现的位置数量,再回到原始的小数文件中逐个确认

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