Dynamic Programming
Cheatsheet
Stop re-deriving recurrences from scratch. One page with every pattern, framework, and formula you need — designed to sit next to your editor.
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Never blank on the approach again
The 5-step framework (define state → recurrence → base cases → iteration order → extract answer) gives you a repeatable process for any DP problem.
13 patterns, one glance
Linear 1D, Kadane's, 0/1 Knapsack, String DP, Grid/Matrix, Interval, Tree, Bitmask, State Machine — each with when to use it and a classic example.
Copy-paste recurrences
Real formulas for Fibonacci, Knapsack, LCS, Edit Distance, Coin Change, LIS, Kadane — plus space optimization tricks. No pseudocode.
Debug faster
A 7-point checklist for when your DP gives wrong answers — off-by-one, wrong iteration direction, missing state dimensions, and more.
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