Search⌘ K
AI Features

Solution: Regular Expression Matching

Explore how to solve the regular expression matching problem by applying dynamic programming techniques. Understand managing special characters like '.' and '*', using recursion with memoization to optimize the solution and avoid redundant computations. This lesson guides you through identifying subproblems, developing an efficient recursive approach, and ensuring match accuracy over the entire string and pattern.

Statement

You are given an input string, s, and a pattern string, p. Your task is to implement regular expression matching between s and p, where the pattern may include the special characters '.' and '*':

  • '.' matches any single character.

  • '*' matches zero or more occurrences of the preceding character.

The match must cover the entire input string, not just part of it.

Constraints:

  • 11 \leq s.length 20\leq 20

  • 11 \leq p.length 20\leq 20

  • s contains only lowercase English letters.

  • p contains only lowercase English letters, '.', and '*'.

  • It is guaranteed that for each appearance of the character '*', there will be a previous valid character to match.

Solution

One of the first ideas that comes to mind to solve ...