Logic Masters Deutschland e.V.

This puzzle was made for the third round of PAC, a tournament hosted by Agent.

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Rules:

Pento loop: Place all the twelve pentominos in the grid exactly once (including rotations and reflections), creating a closed ring. Every pentomino must be connected to exactly two different other pentominos in the ring. Two connected pentominos can only touch in a single edge.

The pentomino ring divides the grid into three different regions made of orthogonally connected cells: the ring region, the central region and the outer region.

Numbers in the grid have different meanings depending on where they are:

• if they are part of the central region, they act as cave clues, counting the total number of cells that can be seen in that region from the clue in a straight line vertically or horizontally, including itself.
• if they are part of the ring region, they count the number of pentomino edges drawn surrounding the clue.
• if they are part of the outer region, they count the total number of pentomino edges that can be seen from the clue in a straight line vertically or horizontally.

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An example of the ruleset with tetrominoes is provided in the image below:

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Have fun solving and please leave a comment after your solve!