The flying saucer can be fixed with a minimum of 31 moves.
First, move down the two ┐ on the right. Then line up the two ■ shapes in the top-right corner of the ship.
Continuing from Hint 1: Collect all four ┐ in the middle row, moving the two ■ shapes to the left and right as needed.
Once all four of the ┐ are in a row in the middle, return both ■ shapes to the top-right corner.
After that, try to maneuver the red ┐ into the bottom-right space and move all of the other ┐ to the far right. This will give you the room you need to move the energy ball into the top-left corner.
Slide the light-blue ┐ into the bottom-left section.
Then slide the dark-blue ┐ into the indention on the left-hand side. Gather the two ■ shapes in the middle row, and move the energy ball to the top-right corner. Slide the two ■ shapes to the top left, and move the red and yellow ┐ to the left-hand side. Almost there!
Solution
Correct
Out of this world!
"Yep, I did it just like that. Watching you reminds me of my sprightly younger days."
"Mr. Layton, is any of this true?"
"It does seem to be a rather unusual story, doesn't it, Luke?"
Slide the yellow piece down
Slide the red piece down
Slide the top purple piece right
Slide the bottom purple piece up
Slide the dark blue piece down and right one space
Slide the light blue piece down
Slide the left purple piece left
Slide the right purple piece left
Slide the red piece up
Slide the yellow piece up two spaces and left
Slide the red piece down
Slide the right purple piece right
Slide the left purple piece right
Slide the light blue piece up
Slide the dark blue piece left
Slide the yellow piece left
Slide the red piece down
Slide the yellow piece right
Slide the dark blue piece right
Slide the light blue piece down and right
Slide the energy ball up
Slide the light blue piece left and down
Slide the dark blue piece left
Slide the left purple piece down and left
Slide the right purple piece left one space and down
Slide the energy ball right
Slide the left purple piece up and left
Slide the right purple piece left one space and up