The 'infinite grid' part is what got me thinking too hard at first.
Use BFS to find the shortest path in an unweighted grid, treating the infinite grid as implicitly bounded by the start, end, and barriers. Track visited cells and parent pointers to reconstruct the path, and return null or a sentinel if the queue exhausts without reaching the end.
Pro tip: Mention that BFS is optimal for unweighted grids and discuss how to handle the infinite grid by only exploring cells within the bounding box of start, end, and barriers (expanded by one). Also, note that if the end is unreachable, BFS will naturally terminate once all reachable cells are explored.
Confirm movement is 4-directional, barriers are impassable, and start/end are not barriers. Discuss whether the grid is truly infinite and how to bound the search space.
Explain why BFS guarantees the shortest path in an unweighted graph. Mention that DFS or A* could be alternatives but BFS is simplest and optimal here.
Use a queue to explore level by level, a set to avoid revisiting cells, and a map to store each cell's parent for path reconstruction.
If the queue empties without reaching the end, return null. Otherwise, backtrack from end to start using parent pointers to build the path.
Discuss time and space complexity in terms of reachable cells. Mention edge cases: start equals end, no path, barriers surrounding start or end.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.