Top Interview 150
When it comes to solving LeetCode Problem technique to solve a greedy algorithm challenge efficiently.
Let’s dive in! 🏊♂️
Problem Breakdown 📝
You're given an array height where each element represents the height of vertical lines on a coordinate plane. The goal is to:
- Find two lines that, along with the x-axis, form a container holding the most water.
- Return the maximum amount of water the container can store.
The water area between two lines is determined by:
Examples ✨
Example 1:
Example 2:
Input: height = [1,1]
Output: 1
Explanation:
The two lines are both of height 1. The width is 1, so the area is:
Final output: 49
Why It Works 🔍
Greedy Approach: Moving the pointer with the smaller height eliminates a line that would have limited the container’s capacity. This ensures we maximize the potential for a larger area.
Two-Pointer Efficiency: Only one pass is made through the array, minimizing time complexity.
🚩 Constraints Check
- The algorithm handles the edge cases, such as:
- Height array with only two elements: Returns the correct result.
- All heights are zero: Returns 0.
- Varying heights: Maximizes the area.
🏆 Results
The above solution:
- Time Complexity: O(n)
- Space Complexity: O(1)
This implementation is efficient and scalable, capable of handling the upper constraint of 10^5 elements.
Final Thoughts 💡
Understanding the two-pointer technique is a game-changer for many array-based problems. This approach minimizes redundant calculations and optimizes performance.
If you enjoyed this post or have questions, let me know in the comments! 🙌
👉 Try it out and share your results below. Happy coding! 😊
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