Logic Masters Deutschland e.V.

This puzzle was created for the Skunkworks League. The prompt for this round was to create a puzzle that uses a 9x9 grid, where the only numerical clues used are 3,6,17,17,34 and 45 (the winning IDs of the first 5 turns).

Rules:

• Two spaceships, A and B, go on a tour of the 9x9 grid.
• The spaceships move orthogonally, and never move onto a space that is occupied or has been moved through by one of the spaceships.
• Once the spaceships have reached their destinations, they stop moving and remain in their locations.
• When the spaceships are both finished moving, all cells in the grid have been passed through by one of the spaceships (excepting the start/end cells).
• The spaceships always take one year to move from one cell to the next.
• However, through the use of time dilation, from the perspective of the spaceships only one year passes along any straight segment of the journey, regardless of length.
• The positions of the spaceships at 6 different points in time are given. Two of these are from the perspective of ship A, two from the perspective of ship B, and two from the perspective of a stationary observer.
• T gives the time in years since the spaceships started (at T=1, both ships are at their starting locations, and then they both start moving continuously at the speeds described above).
• Using the empty grid given, reconstruct the paths of both spaceships.

For aditional clarity an example of a valid grid has been given. The path of ship A is marked in green, the path of ship B is marked in red.

Main Puzzle:
Penpa link: Click Here