problem-decomposer

Decompose a complex mathematical modeling problem by extracting explicit and implicit subproblems, defining their dependencies, and generating a topologically ordered plan with modular outputs for parallel team execution.

Topology-based problem decomposition for CUMCM and MCM analyzes subproblem dependencies to generate a topologically sound execution plan, categorizing relationships into independent, weak, and strong dependencies for reliable modeling workflows.

Generate a dependency graph for multi-subproblem modeling tasks by identifying structural relationships between subproblems, ordering them topologically, and exporting the results into a structured problem_dependency_graph.json artifact.

Extract problem scope and subproblem candidates from a brief by standardizing the input problem statement, labeling each subproblem with goals and deliverables, and outputting structured JSON artifacts for downstream stages.

Structure multi-subproblem tasks for parallel modeling by assigning unique IDs, required data, and deliverables to each subproblem, enforcing modular outputs and readiness constraints to support independent team workflows.

Avoid automated problem decomposition workflows when a competition problem lacks clear structural dependencies or requires highly subjective interpretation, as topology-based ordering relies on definable relationships between explicit subproblems.