"Day 64: Counting Distinct Subsequences with DP"

Day 64: Distinct Subsequences (Dynamic Programming) I'm focused on challenging algorithms on Day 64 of 100DaysOfCode with "Distinct Subsequences." The goal is to count how many unique ways a shorter string (t) can be formed by deleting characters from a longer string (s). My solution uses Dynamic Programming (DP), which is essential for this combinatorial counting problem. The DP table tracks the number of ways to form prefixes of t using prefixes of s. The key recurrence relation is: we either dont use the current character of s or, if they match, we add the ways we could form the previous prefix of t. This methodical approach correctly counts every distinct subsequence, running in O(m * n) time. #Python #DSA #Algorithms #DynamicProgramming #DP #100DaysOfCode #ProblemSolving

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