Algorithms in Real Systems

What Is an Array? — The Fundamental Collection

Array Memory Model & Contiguous Storage

In-Place Unique Elements

In-Place Unique Elements

A vehicle rejects a parcel that exactly fits

Permit loading to the exact route capacity

What Is a Greedy Algorithm?

The Greedy Choice Property — Foundation of Greedy Algorithms

Rainfall Basin Accumulation

Completed deliveries still count against route capacity

Measure peak load instead of total pickups

Overlapping annotations leave fragments in redacted output

Merge overlapping spans while leaving the renderer cursor unchanged

Graph Traversal Overview

Depth-First Search (DFS) — Algorithm & Applications

Task Dependency Validator

Task Dependency Validator

Signal Propagation Time

Implement downstream impact across a drainage network

Track visited drainage assets while following downstream links

The Limitation Problem — Why O(1) Access Matters

What Is Hashing? Core Intuition

Anagram Clustering

Repeated translation placeholders disappear during review

Count every occurrence of a translation placeholder