In this challenge, you must navigate a knight on a Toroidal Hexagonal Grid of size 
The grid:
- We use the Axial Coordinate System (q,r)
- The grid is Toroidal: any move that goes off the edge wraps around to the opposite side. Formally, a position (q,r) is always treated as (mod(q,N),mod(r,N)).
The knight's move:
On a hexagonal grid, a "Knight's move" is defined by 12 possible jumping vectors (
). These represent moving 2 steps in one axial direction and 1 step in another, or similar symmetries:
). These represent moving 2 steps in one axial direction and 1 step in another, or similar symmetries:
The goal:
Given the board size N,a starting position start_pos, an ending position end_pos, and a list of obstacles, find the minimum number of moves required to reach the destination.
Input:
- N: Scalar ( board size
) - start_pos: 1x2 vector [
] - end_pos: 1x2 vector []
- obstacles: Mx2 matrix where each row is a blocked [ ]
Output:
- min_steps: The shortest distance ( integer ). Return Inf if the destination is unreachable.
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