Preloaded Problem Engine Class

Coalition Control organizes cyber-risk assessment challenges into named problem sets. Implement an engine that is preloaded with those sets, preserves problem order, removes duplicates, supports combined set queries, and tracks completed problems.

Create a ProblemSetEngine and a wrapper function run_engine(problem_sets, operations).

Formal Specification

• problem_sets is a dictionary mapping a set name to a list of problem ID strings. Duplicate IDs within a set are possible.
• Each operation is a dictionary with one of these forms:
  • {"op": "list", "set": name}: return unique problem IDs from that set, in first-seen order.
  • {"op": "union", "sets": [name1, name2, ...]}: return unique IDs from the named sets, scanning sets in the given order.
  • {"op": "complete", "problem": id}: mark the problem complete and return true only if it was known and not already complete. Otherwise return false.
  • {"op": "next", "set": name}: return the first incomplete problem in that set, or null if none remain.
• Return one result for every operation, in operation order.
• All referenced set names are valid.