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My first instinct was to use ladders on the biggest jumps, which is kind of right but you don't know which jumps are biggest until you've already passed them.
Use a greedy strategy with a min-heap to track the largest height differences encountered. Allocate bricks to smaller gaps and ladders to the largest gaps, ensuring optimal resource usage. Iterate through the array, and when resources are insufficient, return the current index.
Pro tip: Clarify that ladders should be used for the largest height differences to conserve bricks, and mention that the heap approach achieves O(n log L) time where L is the number of ladders.
Restate the problem: given an array of building heights, bricks, and ladders, find the furthest index reachable. Note that moving to a taller building requires either bricks equal to the height difference or one ladder.
Use a min-heap to keep track of the largest height differences encountered so far. This allows efficient replacement of a ladder with bricks when a larger gap appears.
Traverse the array from left to right. For each positive height difference, push it onto the min-heap. If the heap size exceeds the number of ladders, use bricks to cover the smallest difference (pop from heap). If bricks become negative, return the current index.
If the loop completes, return the last index of the array, indicating all buildings are reachable.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.