Calculate trapped water between elevation bars
Problem Description
You are given an array of non-negative integers, where each integer height[i] represents the height of a bar at position i. Assume each bar has a width of 1 unit.
Your task is to compute the total amount of water that can be trapped between these bars after rainfall.
Requirements
- Brute-Force Approach: Present a brute-force solution.
- Complexity Analysis (Brute-Force): Analyze the time and space complexity of the brute-force approach.
- Optimized Solution: Develop an optimized solution that achieves linear time complexity (O(N)) and constant extra space complexity (O(1)).
- Intuition: Explain the core intuition behind the optimized solution.
- Implementation: Implement the final optimized method.
AI interview prep
Core dilemma
Optimizing an algorithm for linear time complexity while strictly adhering to constant extra space constraints, requiring a deep understanding of problem invariants.
2 tradeoffs and 3 stress tests locked
Interview prep
Unlock the interviewer X-Ray rubric, tradeoff matrix, stress tests, clarifying questions, and key concepts.
Calculate trapped water between elevation bars
Problem Description
You are given an array of non-negative integers, where each integer height[i] represents the height of a bar at position i. Assume each bar has a width of 1 unit.
Your task is to compute the total amount of water that can be trapped between these bars after rainfall.
Requirements
- Brute-Force Approach: Present a brute-force solution.
- Complexity Analysis (Brute-Force): Analyze the time and space complexity of the brute-force approach.
- Optimized Solution: Develop an optimized solution that achieves linear time complexity (O(N)) and constant extra space complexity (O(1)).
- Intuition: Explain the core intuition behind the optimized solution.
- Implementation: Implement the final optimized method.