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The look-and-say sequence is a mathematical sequence of integers that grows indefinitely and has some special properties. The web page explains the rule, the growth, the cosmological decay, the variations and the popularization of the sequence.
The Cuckoo's Egg is a 1989 book by Clifford Stoll, an astronomer who traced a hacker who broke into a computer at Lawrence Berkeley National Laboratory. The book describes how Stoll used various techniques and agencies to find the hacker, who was selling information to the KGB.
Run-length encoding (RLE) is a lossless data compression method that stores runs of the same data value as a count and a character. Learn about its history, applications, algorithm, variants and examples.
LeetCode is a website that offers coding and algorithmic problems for users to practice and prepare for technical interviews and coding competitions. It supports multiple programming languages, hosts weekly and biweekly contests, and provides mock interviews and online assessments.
A sequence is an ordered collection of objects that can repeat and have different lengths. Learn how to define, write and manipulate sequences using various notations and examples from mathematics and computer science.
Learn about the mathematical analysis of "collect all coupons and win" contests, also known as the cereal box problem. Find the expected number of trials, the limit distribution, and the generalizations of the problem.
Learn the definition, complexity, and algorithm of the longest common subsequence (LCS) problem, which is the basis of data comparison programs and revision control systems. See examples, properties, and dynamic programming solution for two sequences.
The statement is not trivial, as the sequence is a sequence of numbers, each of which can have many digits, and it speaks about what new digits can appear in numbers as the sequence develops. The digits 1, 2 and 3 can (and unless starting with 22, all eventually must) appear as the number of digits of a group at the previous stage, e.g. 3 -> 13 ...