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Feature #3: Power Up the Station

Explore how to model and solve the problem of powering up four cellular base stations by rotating dials from 0000 to a target state while avoiding dead states. Understand how to use breadth-first search on a graph representing dial states to find the minimum dial turns needed. Learn the problem constraints, graph construction, node generation, and analyze both time and space complexity for this real-world scenario.

Description

AT&T just acquired a cellular company in a small town that owns four base stations. The company they acquired owned vintage equipment with dials that must be rotated clockwise or counterclockwise by hand to power up the base stations. There’s one dial for each of the base stations. Each dial has numbers from 0 to 9 and does not stop at either extreme; this means you can rotate clockwise at 9 to go back to 0 or ...