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Solution: Distinct Subsequences

Explore how to solve the distinct subsequences problem using dynamic programming in C#. Understand the step-by-step approach to count how many subsequences of one string form another, leveraging a space-efficient 1D DP array and iterative techniques to optimize complexity.

Statement

Given two strings, s and t, determine how many distinct subsequences of s match t exactly.

Note: A subsequence is formed by deleting zero or more characters from s without changing the relative order of the remaining characters.

You may assume the result will always fit within a 3232-bit signed integer.

Constraints:

  • 11 \leq s.length, t.length 1000\leq 1000 ...