Distinct Subsequences

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Problem

Given two strings s and t, return the number of distinct subsequences of s that equal t.

Examples

Example 1
Input:s = "rabbbit", t = "rabbit"
Output:3

Constraints

  • 1 <= s.length, t.length <= 1000

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How to approach it: the 2-D Dynamic Programming pattern

The same DP idea as 1-D, but the state depends on two indices — often two positions in a grid, or a position in each of two sequences being compared.

Look for this pattern when

  • You're comparing two sequences (finding a longest common subsequence, edit distance).
  • You're computing paths or optimal values across a 2-D grid.

Read the full 2-D Dynamic Programming guide →

Video walkthroughs

Original problem on LeetCode ↗

More 2-D Dynamic Programming problems