Experimental collection

Advanced Algorithms

Interactive explorations of computational complexity and optimization. The collection currently contains one working demonstration; no placeholder projects are advertised as available.

Experimental

Partition problem

Compare exactness, speed, and balance.

Given a multiset of positive integers, divide it into two subsets whose sums are as close as possible.

Open playground

Implemented approaches

Decision

Exponential subset enumeration to determine whether an equal partition exists.

Greedy

Largest-processing-time heuristic for a fast approximate balance.

Exact

Exhaustive optimization for the smallest difference, with progress and cancellation behavior.

Scope

What the demonstration teaches

The playground makes exponential workload growth visible and contrasts decision, exact optimization, and heuristic results on the same input.

It is an educational browser demonstration. It does not claim a new algorithm, novel complexity result, or benchmark contribution.