Dynamic Programming Topics

Master essential dynamic programming problems and patterns frequently asked in interviews.

•   01 Fibonacci Sequence Classic recursion → memoization → tabulation pattern
•   02 0/1 Knapsack Decision-making DP: include/exclude items for max value
•   03 Catalan Numbers Combinatorial DP pattern for counting structures
•   04 Longest Common Subsequence (LCS) DP on strings, sequence alignment, overlapping subproblems
•   05 Unbounded Knapsack Decision-based DP with unlimited repetitions of items

WONDERING, HOW DOES IT COVER PATTERNS?
These problems cover the most important dynamic programming patterns for interviews:

Fibonacci Sequence → Overlapping subproblems, recursion → memoization → tabulation pattern.
0/1 Knapsack → Decision-making DP: choose or skip items for optimization.
Catalan Numbers → Counting DP, combinatorial structures like valid parentheses, BSTs.
Longest Common Subsequence (LCS) → 2D DP table, string comparison, subproblem reuse.
Unbounded Knapsack → Decision-based DP with unlimited item usage.

Together, they ensure you understand recursion → DP conversion, decision-making, combinatorial counting, string DP, and unbounded optimization in dynamic programming problems.