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11 - Container With Most Water

Jira Ticket: LND-116
LeetCode: https://leetcode.com/problems/container-with-most-water
Pattern: Two Pointers Difficulty: Medium
Status: To Do
Priority: Medium

Labels: Medium, Two_Pointers
Created: 2025-08-21
Last Updated: 2025-08-22


📝 Problem Statement

Problem URL: https://leetcode.com/problems/container-with-most-water Problem Description: You are given an integer array height of length n. There are n vertical lines drawn such that the two endpoints of the ith line are (i, 0) and (i, height[i]). Find two lines that together with the x-axis form a container, such that the container contains the most water. Return the maximum amount of water a container can store. Notice that you may not slant the container. Example 1: Input: height = [1,8,6,2,5,4,8,3,7] Output: 49 Explanation: The above vertical lines are represented by array [1,8,6,2,5,4,8,3,7]. In this case, the max area of water (blue section) the container can contain is 49. Example 2: Input: height = [1,1] Output: 1 Constraints: n == height.length 2 <= n <= 10^5 0 <= height[i] <= 10^4 Difficulty: Medium Category: Two Pointers


🤔 Initial Thoughts

Understanding the Problem

  • What are we asked to find/compute?
  • What are the inputs and outputs?
  • What are the edge cases?

Pattern Recognition

Why Two Pointers?

What clues in the problem point to this pattern?


💡 Approach

Brute Force (if applicable)

Idea:

Time Complexity: O(?)
Space Complexity: O(?)

Optimized Approach

Idea:

Algorithm Steps: 1. 2. 3.

Time Complexity: O(?)
Space Complexity: O(?)


🎨 Visual Explanation

Example: 

Step 1: 
Step 2: 
Step 3: 

💻 Implementation

# Your solution here
def solution():
    pass

Code Explanation


🧪 Test Cases

Test Case 1: Basic Example

Input: 
Expected Output: 
Actual Output: 
Status: ⏳ Not Tested

Test Case 2: Edge Case - Empty Input

Input: 
Expected Output: 
Actual Output: 
Status: ⏳ Not Tested

Test Case 3: Edge Case - Single Element

Input: 
Expected Output: 
Actual Output: 
Status: ⏳ Not Tested

📊 Complexity Analysis

Time Complexity: O(?)

Breakdown:

Space Complexity: O(?)

Breakdown:


🎓 Key Learnings

What I Learned

Mistakes I Made

Pattern Insights

  • When to use two pointers:
  • When NOT to use this pattern:

🔗 Similar Problems


📚 Resources


✅ Progress Checklist

  • Problem understood
  • Pattern identified
  • Brute force solution
  • Optimized solution
  • All test cases pass
  • Complexity analyzed
  • Code reviewed
  • Learnings documented
  • Jira ticket updated

Status: 🔴 Not Started
Last Updated: 2025-08-22