Logic Masters Deutschland e.V.

For the recent TSL competition, I "invented" a ruleset inspired by Satogaeri. Please let me know of any Movement puzzles with this ruleset so I stop thinking I'm original. If it helps, think of the rules as Satogaeri but the disks are able to collide.

Rules:

• Draw lines to represent the movement path of disks. Movement lines cannot cross or overlap each other or themselves, not even the start- or endpoints of the disks; i.e., no disk may move into a cell that has had a disk.
• Disks move only when flicked or hit, and each movement is horizontal or vertical without making turns. Every disk must be flicked exactly once and only when no disks are moving. After all movements are done, each region must have exactly one disk that cannot be the disk it started with.
  • When flicked, a disk moves until it hits the grid edge or another disk (it stops on the cell adjacent to the edge/disk).
  • When hit, a disk moves in the same direction as the disk that hit it following the rules of being flicked. However, this movement does not count as a flick (it must still be flicked if not already).
• For the purposes of the Solution Code: The total distance traveled by a disk is defined as the total number of cell boundaries crossed by that disk's path once all movements are done. Place this number in the corresponding disk's endpoint.

Here is a quick animation to illustrate the rules:

The puzzle is available on SudokuPad and Penpa. Have fun flicking!