🔟 DYNAMIC PROGRAMMING

Dynamic Programming, or DP, is used when a problem can be broken into smaller overlapping subproblems and their results can be reused.

Two important ideas are:

👉 Memoization → Store results of previously solved states.

👉 Tabulation → Build results iteratively from smaller states.

DP often appears in problems involving: Sequences, Paths, Knapsack-style problems, Optimization, Counting possibilities

🔥 HOW TO RECOGNIZE THE PATTERN

🔹 Continuous subarray/substring → Sliding Window

🔹 Sorted data + search → Binary Search

🔹 Pair or opposite-end comparison → Two Pointers

🔹 Need fast lookup → Hashing

🔹 Most recent item first → Stack

🔹 Tree/graph traversal → BFS / DFS

🔹 Explore multiple possibilities → Backtracking

🔹 Repeated subproblems → Dynamic Programming

🔹 Local choices with provable optimality → Greedy


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