Path With Maximum Minimum Value
A medium-tier problem at 54% community acceptance, tagged with Array, Binary Search, Depth-First Search. Reported in interviews at Google and 1 others.
Path With Maximum Minimum Value is a medium-difficulty grid traversal problem that Google and DoorDash have both asked. The setup feels simple: you need to find a path from top-left to bottom-right and maximize the minimum value you encounter. Most candidates start with a greedy or naive DFS approach, hit a wall when their answer fails test cases, and burn time debugging. The trick isn't about the path itself. It's about recognizing this as a binary search problem wrapped inside a graph traversal. If this problem hits your live OA and you blank on that pattern, StealthCoder surfaces a working solution in seconds, invisible to the proctor.
Companies that ask "Path With Maximum Minimum Value"
Path With Maximum Minimum Value is the kind of problem that decides whether you pass. StealthCoder reads the problem on screen and surfaces a working solution in under 2 seconds. Invisible to screen share. The proctor sees nothing. Made by a working Amazon engineer who got tired of watching qualified friends bomb OAs they'd solve cold in an IDE.
Get StealthCoderThe naive instinct is to explore every path and track the minimum. That's slow and misses the insight. The real approach: binary search on the answer space. You ask: 'Can I reach the bottom-right while staying above threshold T?' If yes, increase T. If no, lower it. For each threshold, BFS or DFS checks reachability. Union Find also works here, but binary search plus BFS is cleaner to code under pressure. Common trap: trying to greedily pick high-value neighbors without committing to a search strategy. Another trap: forgetting that the starting cell matters too. Most Medium-level grids reward speed and clarity over clever data structures. StealthCoder handles the binary search boundary and the traversal logic so you don't second-guess yourself in the final minutes.
Pattern tags
You know the problem.
Make sure you actually pass it.
Path With Maximum Minimum Value recycles across companies for a reason. It's medium-tier, and most candidates blank under the timer. StealthCoder is the hedge: an AI overlay invisible during screen share. It reads the problem and surfaces a working solution in under 2 seconds. Made by a working Amazon engineer who got tired of watching qualified friends bomb OAs they'd solve cold in an IDE. Works on HackerRank, CodeSignal, CoderPad, and Karat.
Path With Maximum Minimum Value interview FAQ
Is this really a medium, or does it feel harder?+
Acceptance rate sits at 54%, so it's solidly medium. The gap between 'write something that works' and 'get all test cases' is the binary search pattern. Once you see it, the code is routine. Most hard problems require deeper optimization or state management.
What's the trick I'm missing?+
Binary search on the minimum value, not the path itself. For each candidate threshold, use BFS or DFS to check if you can reach the end without dropping below it. This turns a path-enumeration nightmare into a straightforward O(n*m*log(max_val)) solution.
Does Union Find actually help here?+
Yes, but it's not required. Union Find lets you incrementally build paths by cell value in descending order, short-circuiting the check. Binary search plus BFS is more intuitive and equally fast for the constraints implied by a Medium rating.
Why do Google and DoorDash ask this?+
It tests whether you can recognize a pattern hiding inside a standard grid problem. Both companies value candidates who see through surface-level setups fast. It's not a knowledge dump. It's a pattern-recognition filter.
Should I memorize the solution or understand the pattern?+
Understand the pattern. Once you see 'maximize the minimum', the binary search move becomes natural. Memorizing code wastes time in the OA. The pattern is what saves you when the problem statement has small twists.
Want the actual problem statement? View "Path With Maximum Minimum Value" on LeetCode →