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In this video, we solve LeetCode 3129 – Find All Possible Stable Binary Arrays I using Dynamic Programming. This problem asks us to count how many binary arrays can be formed using a fixed number of zeros and ones while ensuring that no more than limit identical numbers appear consecutively. Instead of brute forcing all arrays, we use an optimized DP approach with inclusion–exclusion to efficiently count valid arrays. Topics Covered • Dynamic Programming for sequence construction • Handling constraints on consecutive elements • Inclusion–exclusion technique in DP • Efficient O(n × m) solution Problem Details Problem: LeetCode 3129 Difficulty: Medium Category: Dynamic Programming / Combinatorics What you'll learn How to design DP states for constrained sequences How to remove invalid sequences using subtraction A clean Python implementation If you're preparing for coding interviews or DSA practice, this pattern appears in many similar problems involving binary strings and consecutive limits. leetcode 3129 find all possible stable binary arrays leetcode 3129 solution leetcode 3129 python stable binary arrays dp dynamic programming leetcode binary array dp problem coding interview dp problem leetcode dynamic programming binary string dp problems data structures and algorithms leetcode medium problems coding interview preparation