What is the Minimum Knight Moves pattern?

The Minimum Knight Moves is a common coding interview pattern in Breadth First Search problems. It provides a structured approach to solving related algorithm challenges efficiently.

When should I use Minimum Knight Moves?

Use the Minimum Knight Moves pattern when you encounter problems matching its characteristics. Check the "When to Use" and "Clues" sections in the lesson for specific indicators.

Is Minimum Knight Moves asked in FAANG interviews?

Yes, Minimum Knight Moves is an essential pattern commonly tested in FAANG and top tech company technical interviews.

Breadth-First Search

Medium

Minimum Knight Moves

Find simple shortest path for a Knight on a chessboard.

20 min

Solve on LeetCode

Problem Understanding

You have an infinite chessboard. A Knight starts at coordinates (0, 0).

Goal: Return the minimum number of steps to move the Knight to square (x, y).
Moves: The standard 'L' shape: (±1, ±2) or (±2, ±1).

Algorithm Strategy

This is a Shortest Path on an Unweighted Graph problem.

Nodes: Coordinates (row, col).
Edges: The 8 possible Knight jumps.

Since edges are unweighted (cost = 1 move), BFS is the optimal choice.

Optimizations:

Symmetry: Moving to (x, y) takes the same steps as (-x, -y), (x, -y), etc. We can use abs(x), abs(y) and restrict our search primarily to the first quadrant (+2 buffer).
Bi-directional BFS: (Advanced) Expand from Start and Target efficiently to meet in the middle.

Interactive Visualization

Step 1 / 1

Initializing...

Custom Input

See the Logic in Motion

Stop memorizing code. Unlock the full interactive visualizer to master the logic step-by-step.

Unlock VisualizerPREMIUM FEATURE

Stop Guessing, Start Mastering.

Build the FAANG intuition. Master this pattern with optimized implementations, visual dry runs, and our curated collection of high-yield problems.

Start Your Premium Prep