🚀 LeetCode Challenge Complete! Just solved "Ones and Zeroes" - a brilliant 0/1 knapsack problem with TWO constraints, showcasing optimization from 3D to 2D DP! 💡 Solution Approaches: Approach 1 - 3D Memoization (Top-Down): ✅ State: dp[index][m_remaining][n_remaining] ✅ For each string: take or skip decision ✅ Count ones and zeros for each string ✅ Memoize results to avoid recomputation ✅ Space: O(len × m × n) Approach 2 - 2D Space-Optimized (Bottom-Up): ✅ State: dp[m_used][n_used] = max strings ✅ Process each string sequentially ✅ Backward iteration prevents using same string multiple times! ✅ Space: O(m × n) ✨ The key insight: This is 0/1 knapsack with TWO constraints (m zeros, n ones). Approach 1 is intuitive with explicit take/skip decisions. Approach 2 optimizes space by processing strings one at a time and iterating BACKWARD through capacities (classic knapsack trick to ensure each item used at most once). Why backward iteration? Prevents overwriting values we still need in current iteration! Time: O(len × m × n) | Space: O(len × m × n) → O(m × n) #LeetCode #DynamicProgramming #CPlusPlus #Algorithms #SoftwareEngineering #ProblemSolving #Knapsack

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