← Crowdstrike Interview Insights
I knew the brute force immediately but it was obviously too slow.
Reframe the problem as finding the maximum threshold T such that there exists a path from start to end where all cells have values >= T. Use binary search on T and for each T, perform BFS/DFS to check connectivity. Alternatively, use a max-heap (priority queue) to always expand the cell with the highest minimum value so far, similar to Dijkstra's algorithm.
Pro tip: Clarify with the interviewer whether diagonal moves are allowed (they are not, per the problem) and discuss the trade-offs between binary search + BFS (O(mn log(maxVal))) and heap-based approach (O(mn log(mn))). Mention that the heap approach can be more efficient when the value range is large.
Restate the problem: find a path from (0,0) to (m-1,n-1) moving up/down/left/right that maximizes the minimum value along the path. Note that the answer is the maximum possible minimum value.
Decide between binary search on the answer with BFS/DFS validation, or a max-heap (Dijkstra-like) approach. Explain the reasoning for your choice based on constraints.
For binary search: define low and high bounds, and for each mid, check if a path exists using only cells >= mid. For heap: initialize with start cell, maintain a min-heap of (-minValue, row, col), and update the answer when reaching the end.
Discuss time and space complexity. Handle edge cases: single cell grid, all cells same value, negative values, large grids.
Walk through a small example to verify correctness, e.g., grid = [[5,4,5],[1,2,6],[7,4,6]] should return 4.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.