Count And Say

Count And Say


如果给定一个数字字符串,并保证其中只包含来自0123456789 的数字字符,请 "大声 "读出该字符串,说出每个数字在当前数字串中连续出现的次数,然后返回刚才大声读出的数字字符串。


虽然这个count-and-say sequence 问题最初看起来愚蠢而简单,但它需要一位不亚于已故伟大的数学家John Conway 本人的天才,不仅要注意到当这个操作被反复迭代以产生一个无限的数字串序列时,巨大的复杂性就会从表面之下迸发出来,而且还要将整个混乱的过程捕捉到一个符号多项式方程中,正如他本人在这段视频中解释的那样。

您还可以查看与此相关的无限长但完全可以自我描述的结构Kolakoski sequence ,在这个结构中,只有每个连续数字块的长度被写入结果字符串,而不是实际的数字。


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