Algorithmic Problem Solving

An analysis begins by naming the input size and the operation whose growth matters.

Search and sorting choices depend on what is already known about the data and what operations the product needs.

Return the index of target in a sorted array, or -1 when it is absent.

Return the indices of two distinct values whose sum equals the target.

Return unique triples whose values sum to zero; input indices do not matter.

A graph models entities as vertices and relationships as edges.

An interactive concept flow for representing a graph before traversing it, from its assumptions through the main operation and boundary checks.

Follow the key state changes and boundary checks involved in representing a graph before traversing it.

Count connected land regions in a grid where horizontal and vertical neighbors connect.

Determine whether every course can be completed given prerequisite dependencies.

Explain the model, execution steps, complexity, and limits of representing a graph before traversing it.