Preface The origin of diff algorithms The diff algorithm is a method used to compare differences between two text files. It helps developers and other tech professionals compare and modify text files. The diff algorithm was originally published by Gene Myers in 1986. The basic idea is to find the shortest edit script between two files to convert one file into the other. Application context of diff algorithms Diff algorithms are mainly used in areas like code version control systems, file comparison tools, and database version control. With the rapid development of software engineering, the scale and complexity of code is increasing. The application of diff algorithms is becoming more and more important. Different diff algorithms have their own advantages and disadvantages in different application scenarios. Therefore, more differential algorithms need to be developed to meet the requirements of different scenarios. Traditional diff algorithms Longest Common Subsequence (LCS) algorithm The Longest Common Subsequence (LCS) algorithm is a classic algorithm for comparing the similarity between two sequences. It is also a type of diff algorithm. This algorithm compares the same parts of two text sequences and marks the different parts. The basic principle of the LCS algorithm is to find the longest common subsequence between two sequences and find differences within it. Here is a sample Python implementation of the LCS algorithm: def LCS(X, Y): m = len(X) n = len(Y) # Initialization L = [[0] * (n+1) for i in range(m+1)] for i in range(m+1): for j in range(n+1): if i == 0 or j == 0: L[i][j] = 0…