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Master memoization, tabulation, and advanced DP patterns
Section 1 of 5
Master memoization, tabulation, and advanced DP patterns
Define dp states precisely, derive transitions, and establish base cases with mathematical rigor.
Choose the right approach, ensure correct ordering, and apply space/time optimizations.
Argue correctness via induction and analyze time/space for real constraints.
LIS, LCS, Edit Distance, Knapsack, and Matrix Chain with reconstructions.
Tree DP with rerooting, Bitmask DP for subset states, and Digit DP techniques.
Identify overlapping subproblems and optimal substructure, formalize state and recurrence, and reason about complexity.
Learn top-down caching, bottom-up ordering, base cases, and space optimizations with hands-on patterns.
Master LIS, LCS, Edit Distance and understand reconstruction of answers and path tracking.
Solve knapsack variants and matrix-chain via 1D/2D tables, derive recurrences, and prove correctness.
Tree DP with rerooting, bitmask state encoding, digit-by-digit DP, and performance trade-offs.