A-Star Algorithm for Shortest Path Finding

This document demonstrates a successful implementation of the A-Star algorithm for efficient shortest path finding between two nodes. The implementation employs a heuristic-driven approach using priority queues to optimize node exploration, significantly reducing computational overhead compared to naive search methods. Notably, the code incorporates constraint mechanisms that allow users to define specific limitations on path characteristics, such as maximum distance thresholds or restricted areas. This constraint functionality is implemented through customizable cost functions and validation checks during node expansion. The algorithm maintains optimality while respecting these constraints through proper admissible heuristic design. The solution proves particularly valuable in applications requiring optimized routing with specific operational requirements, providing both path efficiency and flexibility for real-world deployment scenarios.