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Search Algorithm — A* Search, with Python

5 min readMay 15, 2026

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Exploring A* Heuristic Search with Hands-On Python Examples

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Photo by Arto Marttinen on Unsplash

A* Search (A-star) is a widely used and highly effective algorithm for finding the shortest path in a graph. It is popular because it combines efficiency, accuracy, and conceptual simplicity.

Whether you are learning algorithms, preparing for technical interviews, or building navigation and optimization systems, A* is one of the most important search techniques to understand.

This article explains the intuition behind A*, its relationship with classical search algorithms, and demonstrates a practical Python implementation using the Romania map problem.

Background: Where A* Comes From

A* Search is built by combining two classical search strategies:

1. Uniform-Cost Search (UCS)

Uniform-Cost Search uses the path-cost function g(n), which represents the cost accumulated so far to reach node n (past experience).

  • Optimal and complete, i.e., always finds the best solution if one exists.
  • However, it can be inefficient, as it explores widely without guidance.

2. Greedy Best-First Search (GBFS)

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