theGnaN Tech Hub
Algorithm Category · Dynamic Programming

Dynamic Programming Suite.

Optimal substructure memoization, tabular state transitions, and space optimization.

Module Under Active Development

Dynamic Programming Visualizers Coming Soon

We are actively building the Dynamic Programming interactive laboratory with theGnaN Visual Learning Language (GVLL). Review the planned curriculum and algorithmic structures below.

Curriculum Roadmap

Planned Dynamic Programming Modules (4)

In Production
#1Coming Soon

Fibonacci: Memoization vs Tabulation

From O(2^n) brute force to O(n) dynamic programming.

Time (Avg):O(n)
Time (Worst):O(n)
Space:O(1)
#2Coming Soon

0/1 Knapsack Problem

Classic 2D DP matrix maximizing value under weight bounds.

Time (Avg):O(N · W)
Time (Worst):O(N · W)
Space:O(N · W)
#3Coming Soon

Longest Common Subsequence (LCS)

Sequence alignment and diff comparison.

Time (Avg):O(m · n)
Time (Worst):O(m · n)
Space:O(m · n)
#4Coming Soon

Coin Change Problem

Unbounded change making optimization.

Time (Avg):O(n · amount)
Time (Worst):O(n · amount)
Space:O(amount)