Took me a second to see it as a graph problem.
Clarify the graph representation (adjacency list vs. matrix) and whether transactions are directed or undirected. Then implement a traversal (DFS or BFS) from the given customer, tracking visited nodes to avoid cycles, and return the set of reachable customers. Discuss trade-offs and edge cases.
Pro tip: Mention that in a production system at Square, you'd likely use a union-find data structure for dynamic connectivity or precompute connected components for performance, but for a single query, traversal is simpler and sufficient.
Ask whether the transaction graph is directed or undirected, whether it's static or dynamic, and what the expected scale is. Confirm that 'reachable' means via any chain of transactions, implying undirected connectivity.
Represent the graph as an adjacency list for efficient traversal. Select DFS or BFS to explore all connected nodes, using a visited set to prevent infinite loops in cyclic graphs.
Write a function that starts from the given customer, explores all neighbors recursively (DFS) or iteratively (BFS), and collects all visited customers. Ensure the starting customer is included in the result.
State time and space complexity: O(V + E) for traversal, O(V) for visited set. Discuss edge cases: customer not in graph, isolated customer, large graph, and cycles.
Mention union-find for frequent queries or dynamic updates, or precomputing connected components if the graph is static. Also note trade-offs between DFS (recursion depth) and BFS (memory).
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