This topic is a practice problem inside the Sliding Window module. The goal is not to memorize the title: reconstruct the problem it solves, the mechanism that makes it work, and the signal that tells you when to use it.
Remember the shape, not the sentence
“Grow right until invalid, shrink left until valid — record the best.”
What problem does this solve?
Start from the engineering problem rather than the definition. Best Time to Buy & Sell Stock exists because a system needs a reliable way to handle a recurring constraint inside Sliding Window. Ask what would become slow, ambiguous, unsafe, or impossible without it.
How the mechanism works
Break the idea into observable steps. The useful mental model is: input → transformation → decision or state change → output. Keep each step small enough that you can redraw it from memory. The surrounding module is the context: Grow right until invalid, shrink left until valid — record the best.
When to reach for it
Use nearby concepts as contrasts. In this module, compare Best Time to Buy & Sell Stock with Sliding Window: fixed vs dynamic windows, Interactive: window expand/shrink visualizer, Longest Substring Without Repeating Characters. The distinction matters because good engineering choices depend on the constraints, not on memorizing isolated definitions.
See the mechanism before you memorize it
One diagram, one causal story, one reconstruction task.
Best Time to Buy & Sell Stock — causal map
Frame
State the problem and the constraints before naming the technique.
Transform
Apply the core mechanism of Best Time to Buy & Sell Stock and track what state changes.
Observe
Inspect the artifact, output, invariant, or behavior produced by the mechanism.
Transfer
Explain where the same idea appears elsewhere in DSA Patterns.
Draw the idea yourself
Rebuild the core flow on a real canvas before moving to the worked walkthrough.
Walk the system
Frame
State the problem and the constraints before naming the technique.
Transform
Apply the core mechanism of Best Time to Buy & Sell Stock and track what state changes.
Observe
Inspect the artifact, output, invariant, or behavior produced by the mechanism.
Transfer
Explain where the same idea appears elsewhere in DSA Patterns.
Reconstruction card
Use the card as a generative note, not a summary to copy. Fill it from memory after the explanation.
TOPIC: Best Time to Buy & Sell Stock
MODULE: Sliding Window
TYPE: practice problem
PROMPT
What problem does it solve?
What changes step by step?
What evidence proves it worked?
When would you choose something else?What usually goes wrong
Close the tab. Rebuild it from memory.
Read the question, answer aloud, then reveal.
What problem is Best Time to Buy & Sell Stock designed to solve?Reveal answer
It addresses a recurring constraint inside Sliding Window. A strong answer names the input, the core mechanism, and the result rather than repeating the title.
What are the four stages of the mental model?Reveal answer
Frame the problem → transform the input/state → observe the evidence → transfer the idea to a new scenario.
Longest Substring Without Repeating: what does the left pointer track?Reveal answer
The first index after the last occurrence of any duplicate — jump left past the previous occurrence of the repeated char.
Minimum Window Substring: what two counters drive the window?Reveal answer
A need-map of required char counts and a 'formed' count of chars currently satisfied; expand to satisfy, contract while all satisfied.
Make this idea travel.
Connect it next to: Why pattern-based learning beats grinding • Set up your mistakes log + template notebook • Your spaced revision calendar (Day 1 / 3 / 7 / 21) • Big-O intuition builder: visualize growth rates.