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∑MathAdvanced

Generating Functions - OGF

An ordinary generating function (OGF) encodes a sequence (a_n) as a formal power series A(x) = \sum_{n \ge 0} a_n x^n.

#ordinary generating function#ogf#coefficient extraction+12
⚙️AlgorithmIntermediate

Knapsack Problems

Knapsack problems ask how to pick items under a weight (or cost) limit to maximize value or to check if a target sum is reachable.

#0/1 knapsack
Advanced
Filtering by:
#coin change
#unbounded knapsack
#bounded knapsack
+12
⚙️AlgorithmIntermediate

Coin Change and Variants

Coin Change uses dynamic programming to find either the minimum number of coins to reach a target or the number of ways to reach it.

#coin change#dynamic programming#unbounded knapsack+12
⚙️AlgorithmIntermediate

Dynamic Programming Fundamentals

Dynamic programming (DP) solves complex problems by breaking them into overlapping subproblems and using their optimal substructure.

#dynamic programming#memoization#tabulation+12