Basically a graph search problem dressed up in a bomb-defusing story.
Model the problem as a graph where states are nodes and legal operations are edges, then determine if a safe state is reachable from the initial state without visiting unsafe states. Use BFS or DFS to explore only safe states, or apply a reachability algorithm on the subgraph of safe states.
Pro tip: Clarify whether the state space is finite and if operations are reversible; this affects whether you can use bidirectional search or need to handle cycles. Also, mention that if the state space is large, you might need to use symbolic model checking or abstraction techniques.
Identify all possible states and the legal operations that transition between them. Determine which states are considered safe and which are unsafe.
Represent states as nodes and operations as directed edges. Mark unsafe states as forbidden nodes that cannot be visited.
Use BFS or DFS to explore the graph starting from the initial state, but only traverse through safe states. BFS is preferable for finding the shortest sequence if needed.
During traversal, if a safe state is reached, return true. If the search exhausts all reachable safe states without finding one, return false.
Discuss time and space complexity (O(V+E) for graph search). Mention potential optimizations like bidirectional search, memoization, or pruning if the state space is large.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.