Editing User:Sanust/Guides/Firewall (section)

== Examples ==

* In Example 1, the {{Cn|Familiar}} moves upward along the right edge of the battlefield.
** The direction with priority 1 becomes inaccessible due to the boundary obstruction. Following ''The Shortest Path Principle'', the unit will instead move one tile in the priority 6 direction, because following in priority 4 or 5 direction would make the Familiar move more tiles that following in priority 6 direction.
** Upon reaching this new tile, it re-establishes the coordinate system centered on that hex. At this point, the direction with priority 1 becomes accessible again, so the Familiar moves one tile in that direction.
** In this manner, repeating the process, the Familiar continues its movement until it reaches the desired destination.
** As a result, the Familiar moves in 6-1-6-1-6.
* In Example 2, the {{Cn|Familiar}} (on the left) moves towards enemy's Familiar (on the right). How does it move?
** Yellow or Black path seems to be a good choice because the first step is to move in the direction of priority 1. However, Yellow or Black path is 7 tiles long, while the Green and Red paths would only require 6 tiles if there were no obstacles, it does not satisfy ''The Shortest Path Principle''. Therefore, the AI will prioritize the Red and Green paths.
** Due to the obstacle in the direction of priority 2, the Familiar can only move one step in the direction of priority 3, and then re-establishes the coordinate system at that new tile.
** At this new position, the direction of priority 1 is again blocked, so it moves one step in the direction of priority 2.
** It then moves one tile in the direction of priority 1, and proceeds along the path where Green and Yellow overlap until it reaches the enemy.
** As a result, the Familiar moves in blue path.

<gallery widths="300px" heights="200px">
Image:Firewall Guide Hexagonal Principle Obstacle.png|Example 1: The Familiar moves in 6-1-6-1-6.
Image:Firewall Guide Hexagonal Principle Example.png|Example 2: How does the Familiar move?
Image:Firewall Guide Hexagonal Principle Answer.png|Example 2 Answer: The Familiar moves in blue path.
</gallery>