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Intervals Most Important Patterns

0h 01m video Published Mar 12, 2026 Transcribed Aug 4, 2026 Hello Interview Hello Interview
Intermediate 2 min read For: Software engineers preparing for coding interviews, especially those focusing on algorithm patterns.
AI Trust Score 70/100
⚠️ Average / Some Fluff

"Delivers exactly what the title promises: a concise, pattern-based guide to interval problems."

AI Summary

This video explains the two fundamental sorting strategies for solving interval-based coding problems: sorting by start time and sorting by end time. It demonstrates how each strategy applies to detecting overlaps, merging intervals, and finding the maximum number of non-overlapping intervals, with a clear example showing why sorting by end time is optimal for the latter.

[00:01]
Interval problems defined

An interval is a start time and an end time. Problems give a list of unsorted intervals, and the first step is always to sort them.

[00:14]
Two sorting strategies

There are two sorting strategies: sort by start time or sort by end time. The choice depends on the problem.

[00:27]
Detecting overlaps with start sort

Sort by start time places overlaps next to each other. To detect an overlap, check if the next start is less than the previous end.

[00:39]
Merging intervals

When merging overlapping intervals, extend the merged end to the max of both ends. Example: 1-3 and 2-6 become 1-6.

[00:53]
Max non-overlapping intervals

Sorting by start time fails for finding the most non-overlapping intervals because an early-starting long interval blocks others. Sorting by end time works better.

[01:06]
Greedy choice with end sort

Sort by end time and always pick the interval that ends earliest, leaving the most room for others. This greedy choice is always optimal.

[01:18]
Summary of strategies

Sort by start for detecting overlaps and merging; sort by end for maximizing non-overlapping intervals.

Mentioned in this Video

Tutorial Checklist

1 00:14 Sort the intervals by start time.
2 00:27 To detect overlaps, iterate and check if next start < previous end.
3 00:39 To merge intervals, when overlap occurs, extend end to max of both ends.
4 00:53 For max non-overlapping intervals, sort by end time instead.
5 01:06 Greedily pick intervals that end earliest, skipping those that overlap.

Study Flashcards (6)

What is an interval in coding problems?

easy Click to reveal answer

A start time and an end time.

00:01

What are the two sorting strategies for interval problems?

easy Click to reveal answer

Sort by start time or sort by end time.

00:14

How do you detect an overlap when intervals are sorted by start time?

medium Click to reveal answer

Check if the next start is less than the previous end.

00:27

How do you merge two overlapping intervals?

medium Click to reveal answer

Extend the merged end to the max of both ends.

00:39

Why does sorting by start time fail for finding the maximum number of non-overlapping intervals?

hard Click to reveal answer

Because an early-starting long interval blocks many others.

00:53

What is the greedy choice for maximizing non-overlapping intervals?

medium Click to reveal answer

Always pick the interval that ends earliest.

01:06

💡 Key Takeaways

⚖️

Two sorting strategies

Establishes the core framework that all interval problems follow.

00:14
💡

Start sort fails for max non-overlap

Demonstrates a common pitfall and motivates the alternative strategy.

00:53
🔧

Greedy choice is optimal

Highlights a key algorithmic principle: greedy choice with end sort yields optimal results.

01:06

[00:01] Turns out, companies love asking problems about exactly this. Here are every interval coding question. An interval is just a start time and an end A problem hands you a list of these, totally unsorted. Every interval problem

[00:14] first, then walk through in order. There are two sorting strategies, and which one you pick depends on the problem. Strategy one, sort by start time. This Now, overlaps sit right next to each other. To detect an overlap, check one

[00:27] previous one ends? If next start is less than previous end, they overlap. That's how you check if any intervals overlap. Sort by start, combining overlapping intervals into one? Same sort, but instead of just

[00:39] When two intervals overlap, extend the merged end to cover both. Take the max of both ends. So, 1 to 3 and 2 to 6 become 1 to 6. merging as you go. That's how you merge all overlapping intervals.

[00:53] What if you want the most non-overlapping intervals? meetings in a day. Sort by start time fails here. earliest, but it runs all day long. It blocks everything else. You fit one

[01:06] meeting instead of three. The fix? Sort by end time instead. Always pick the leaves the most room for whatever comes next. Greedy choice, always optimal. Sort by start gave you one meeting. Sort by end, three. Two strategies, that's

[01:18] all there is to it. Sort by start for detecting overlaps and merging. non-overlapping count. Try these problems on Hello Interview. Link is in problems on Hello Interview. Link is in the pinned comment. Follow for more.

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