The problem-conquering solution flashes into the person's mind at an unexpected time during the insight step of the creative process.

Problem-Conquering

The approach or strategy aimed at effectively solving challenges or overcoming obstacles.

Insight Step

A crucial moment in problem-solving where an understanding of a complex situation is achieved, leading to a potential solution.

Creative Process

A sequence of thoughts and actions leading to the production of an original and valuable output, often seen as involving stages of preparation, incubation, illumination, and verification.