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Turn solved problems into structured notes, quizzes, and flashcards. Build a growing library of insights you can revisit anytime.

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Study

Container With Most Water: Study Note

1. Problem Summary

  • Given an array of heights, find two lines that form a container holding the most water
  • Problem type: Array, Two Pointers, Greedy
  • Difficulty level: Medium
  • Key constraints:
    • Input size: up to 10⁵ elements
    • Element values: up to 10⁴
    • Need O(n) time solution due to input size

2. Approaches & Strategies

  • Brute Force: Check all pairs of lines
    • Time: O(n²), Space: O(1)
    • Inefficient for large inputs
  • Two Pointer Technique (Optimal):
    • Start with widest container (left=0, right=n-1)
    • Move pointer at shorter line inward
    • Justification: Moving taller line inward can only decrease area
    • Time: O(n), Space: O(1)
  • Key Insight: Area = min(height[left], height[right]) × (right - left)

3. My Solution & Code

  • Used optimal two-pointer approach
  • Strategy: Start with maximum width, greedily move shorter pointer
  • More efficient than brute force by eliminating impossible candidates
from typing import List

class Solution:
    """
    Classic optimal solution:
    start with the outermost pair and move the pointer
    at the shorter line inward.  The area can only
    get smaller when the width shrinks, so we can safely
    discard the shorter line.
    """
    def maxArea(self, height: List[int]) -> int:
        left, right = 0, len(height) - 1
        max_water = 0

        while left < right:
            width = right - left
            h = min(height[left], height[right])
            max_water = max(max_water, width * h)

            # Move the pointer that is at the shorter line
            if height[left] < height[right]:
                left += 1
            else:
                right -= 1

        return max_water

4. Time & Space Complexity

  • Final Solution: O(n) time, O(1) space
  • Brute Force Alternative: O(n²) time, O(1) space
  • Trade-off: Linear time vs quadratic time, same space
  • Justification: Each element visited at most once

5. Mistakes & Insights

  • Early submissions (2022): Same correct logic but slower execution (700-1600ms)
  • Recent submission (2025): Same logic but faster (91ms, 78% percentile)
  • Improvement: Code structure and variable naming became cleaner
  • Key Insight: Moving the shorter line is safe because:
    • Width always decreases
    • Height cannot exceed shorter line
    • Keeping shorter line cannot improve area
  • Debugging history: Initially questioned brute force vs optimal approach
  • Learning: Recognized pattern of two-pointer optimization for array problems

6. What's Next

Interview Mode

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Loved by Top Engineers

Join thousands of developers who have leveled up their coding skills and landed their dream jobs with LeetCopilot.

Honestly, I used to just memorize solutions and move on. LeetCopilot's hints actually made me think through the problem properly. Now I understand why certain approaches work, not just that they do.

S

Sarah Chen

Software Engineer at Google

I was getting destroyed in interviews because I couldn't explain my thinking. The notes feature helped me organize my approach, and now I actually know what I'm talking about when I code.

A

Alex Rodriguez

CS Student at Stanford

The interview practice mode is legit. I used to freeze up when explaining code, but practicing with it made me way more comfortable. Got the offer at my dream company!

P

Priya Patel

Frontend Developer at Airbnb

Best part? It actually reads my code and sees what's failing. Instead of generic advice, it points to the exact issue. Saves me from opening 10 Stack Overflow tabs.

J

James Wilson

SDE II at Amazon

I thought I was good at explaining my approach until Interview Mode grilled me. The questions it asks are brutal, but that's exactly what I needed. Real interviews felt easy after this.

M

Michael Chang

Senior Engineer at Meta

Honestly, I used to just memorize solutions and move on. LeetCopilot's hints actually made me think through the problem properly. Now I understand why certain approaches work, not just that they do.

S

Sarah Chen

Software Engineer at Google

I was getting destroyed in interviews because I couldn't explain my thinking. The notes feature helped me organize my approach, and now I actually know what I'm talking about when I code.

A

Alex Rodriguez

CS Student at Stanford

The interview practice mode is legit. I used to freeze up when explaining code, but practicing with it made me way more comfortable. Got the offer at my dream company!

P

Priya Patel

Frontend Developer at Airbnb

Best part? It actually reads my code and sees what's failing. Instead of generic advice, it points to the exact issue. Saves me from opening 10 Stack Overflow tabs.

J

James Wilson

SDE II at Amazon

I thought I was good at explaining my approach until Interview Mode grilled me. The questions it asks are brutal, but that's exactly what I needed. Real interviews felt easy after this.

M

Michael Chang

Senior Engineer at Meta

Honestly, I used to just memorize solutions and move on. LeetCopilot's hints actually made me think through the problem properly. Now I understand why certain approaches work, not just that they do.

S

Sarah Chen

Software Engineer at Google

I was getting destroyed in interviews because I couldn't explain my thinking. The notes feature helped me organize my approach, and now I actually know what I'm talking about when I code.

A

Alex Rodriguez

CS Student at Stanford

The interview practice mode is legit. I used to freeze up when explaining code, but practicing with it made me way more comfortable. Got the offer at my dream company!

P

Priya Patel

Frontend Developer at Airbnb

Best part? It actually reads my code and sees what's failing. Instead of generic advice, it points to the exact issue. Saves me from opening 10 Stack Overflow tabs.

J

James Wilson

SDE II at Amazon

I thought I was good at explaining my approach until Interview Mode grilled me. The questions it asks are brutal, but that's exactly what I needed. Real interviews felt easy after this.

M

Michael Chang

Senior Engineer at Meta

Honestly, I used to just memorize solutions and move on. LeetCopilot's hints actually made me think through the problem properly. Now I understand why certain approaches work, not just that they do.

S

Sarah Chen

Software Engineer at Google

I was getting destroyed in interviews because I couldn't explain my thinking. The notes feature helped me organize my approach, and now I actually know what I'm talking about when I code.

A

Alex Rodriguez

CS Student at Stanford

The interview practice mode is legit. I used to freeze up when explaining code, but practicing with it made me way more comfortable. Got the offer at my dream company!

P

Priya Patel

Frontend Developer at Airbnb

Best part? It actually reads my code and sees what's failing. Instead of generic advice, it points to the exact issue. Saves me from opening 10 Stack Overflow tabs.

J

James Wilson

SDE II at Amazon

I thought I was good at explaining my approach until Interview Mode grilled me. The questions it asks are brutal, but that's exactly what I needed. Real interviews felt easy after this.

M

Michael Chang

Senior Engineer at Meta

Being able to highlight text and ask questions is so convenient. The execution traces showed me exactly where my logic broke down. Wish I had this in college.

E

Emma Davis

Engineer at Netflix

Sliding window finally makes sense after seeing it visualized. The step-by-step traces are a lifesaver for debugging. I can actually see what my code is doing instead of guessing.

D

David Kim

iOS Developer at Apple

I used to solve problems and forget everything. Now Study Mode auto-generates notes and flashcards that I actually use. My retention improved so much, and I'm not just cramming anymore.

L

Lisa Wang

CS Student at UCSD

The edge-case generator caught bugs I never would've thought of. Batch testing multiple inputs at once is a huge time saver. Plus it explains why things fail, which is way more helpful than just showing errors.

R

Robert Taylor

Backend Engineer at Uber

Everything's right there on the page, so I don't lose context switching tabs. The hints guide you without giving it away, and the quizzes help reinforce concepts. Really solid workflow.

J

Jennifer Wu

Full Stack at Stripe

Being able to highlight text and ask questions is so convenient. The execution traces showed me exactly where my logic broke down. Wish I had this in college.

E

Emma Davis

Engineer at Netflix

Sliding window finally makes sense after seeing it visualized. The step-by-step traces are a lifesaver for debugging. I can actually see what my code is doing instead of guessing.

D

David Kim

iOS Developer at Apple

I used to solve problems and forget everything. Now Study Mode auto-generates notes and flashcards that I actually use. My retention improved so much, and I'm not just cramming anymore.

L

Lisa Wang

CS Student at UCSD

The edge-case generator caught bugs I never would've thought of. Batch testing multiple inputs at once is a huge time saver. Plus it explains why things fail, which is way more helpful than just showing errors.

R

Robert Taylor

Backend Engineer at Uber

Everything's right there on the page, so I don't lose context switching tabs. The hints guide you without giving it away, and the quizzes help reinforce concepts. Really solid workflow.

J

Jennifer Wu

Full Stack at Stripe

Being able to highlight text and ask questions is so convenient. The execution traces showed me exactly where my logic broke down. Wish I had this in college.

E

Emma Davis

Engineer at Netflix

Sliding window finally makes sense after seeing it visualized. The step-by-step traces are a lifesaver for debugging. I can actually see what my code is doing instead of guessing.

D

David Kim

iOS Developer at Apple

I used to solve problems and forget everything. Now Study Mode auto-generates notes and flashcards that I actually use. My retention improved so much, and I'm not just cramming anymore.

L

Lisa Wang

CS Student at UCSD

The edge-case generator caught bugs I never would've thought of. Batch testing multiple inputs at once is a huge time saver. Plus it explains why things fail, which is way more helpful than just showing errors.

R

Robert Taylor

Backend Engineer at Uber

Everything's right there on the page, so I don't lose context switching tabs. The hints guide you without giving it away, and the quizzes help reinforce concepts. Really solid workflow.

J

Jennifer Wu

Full Stack at Stripe

Being able to highlight text and ask questions is so convenient. The execution traces showed me exactly where my logic broke down. Wish I had this in college.

E

Emma Davis

Engineer at Netflix

Sliding window finally makes sense after seeing it visualized. The step-by-step traces are a lifesaver for debugging. I can actually see what my code is doing instead of guessing.

D

David Kim

iOS Developer at Apple

I used to solve problems and forget everything. Now Study Mode auto-generates notes and flashcards that I actually use. My retention improved so much, and I'm not just cramming anymore.

L

Lisa Wang

CS Student at UCSD

The edge-case generator caught bugs I never would've thought of. Batch testing multiple inputs at once is a huge time saver. Plus it explains why things fail, which is way more helpful than just showing errors.

R

Robert Taylor

Backend Engineer at Uber

Everything's right there on the page, so I don't lose context switching tabs. The hints guide you without giving it away, and the quizzes help reinforce concepts. Really solid workflow.

J

Jennifer Wu

Full Stack at Stripe

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Pricing

LeetCopilot is free for all users during early beta.

Free

$0/month
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  • Custom study roadmap

How to Get Started

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1

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2

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3

Start Chatting

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