Assigned Pentominoes Loop #2 (18x18)
(Published today, 06:00 by Playmaker6174)
The following puzzle is the second part of my current major hybrid puzzle project, for the first part see this link.
In short, the whole project explores the hybrid ideas that I can work on around the assigned pentominoes concept, and simple loop ended up being the instant first thought coming into my mind in the initial draft.
In this second part, I decided to ditch the limitation of the number of times a shape can appear while also adjusted the rules a bit with extra clued cells coming into play.
I kind of restrained myself into playing around a 'relatively' small size like this 18x18 one, and it actually turned out to be the single puzzle with the most amount of backups/restarts I've ever done, with over 20 backups just in the last few weeks (hence the long delay till this point). Despite all of that, this was still one of the funnest setting experiences I've ever gone through and the longer delay was just the result of my desire to provide the sweetest puzzle experience to everyone here.
After all, it's a special birthday edition anyway and I honestly won't mind revisiting this part in the near future with an even larger size like 25x25 for fullest potential (or even considering the third part as a mashup of the first two parts) if more and more people request/convince me to try so :)
With that said, the very next part will explore Japanese Sum versus assigned pentominoes idea and I hope that I can come up with something good too.
For now, do enjoy the second version here! The last few parts may be trickier compared to the rest of the solve but the entire puzzle should be clear enough to follow through the solve in my opinion.
Rules:
- Shade some pentominoes into the grid - i.e. regions of five orthogonally connected cells. Pentominoes cannot touch each other orthogonally but may touch each other diagonally. Gray cells cannot belong to any shaded pentomino.
- Each possible pentomino shape can be used any number of times, including none, which also means that not all possible shapes are necessarily used.
- Additionally, excluding all gray cells, draw a single loop that goes orthogonally through all of the remaining unshaded cells and also doesn't visit any shaded pentomino. The loop cannot branch or intersect itself at any point.
- Each shaded pentomino must be 'assigned' with an integer number from the range of 1-12, and such number is written into all five cells of that pentomino. Same shaded shapes are assigned with same number while different shaded shapes are assigned with different numbers.
- Some gray cell contains clues, which include arrow[s] and a pentomino shape (in the form of letter); a question mark (?) corresponds to an unknown shape that's required to be deduced, and different question marks may or may not correspond to the same shapes. A clued gray cell implies two things:
+ When searching along all indicated directions from that cell, there must be exactly one shaded pentomino of its corresponding shape to be found.
+ The assigned number of its corresponding shape is also equal to the combined amount of shaded cells found in all indicated directions.
(The compass at top right is for keeping track of the arrow's direction: Up, Down, Left, Right.)
(The table at bottom right is for keeping track of the assigned number for each pentomino shape appearing in the grid. If a shape isn't used at the end then its assigned number is left empty)
The bank including all possible pentomino shapes can be found below:
An example image showcasing tetrominoes with assigned numbers from 1-5 range can also be found below. One can solve the example puzzle in either Penpa plus or Sudokupad.
Puzzle: Penpa plus - Sudokupad
The answer check in penpa link will activate once both following conditions are met: The loop is correctly drawn and the pentominoes with their respective assigned numbers are correctly filled (both in the pentominoes and in the tracking table at bottom right, but I don't ask for the shading check this time).
For now, good luck and have fun solving!
In short, the whole project explores the hybrid ideas that I can work on around the assigned pentominoes concept, and simple loop ended up being the instant first thought coming into my mind in the initial draft.
In this second part, I decided to ditch the limitation of the number of times a shape can appear while also adjusted the rules a bit with extra clued cells coming into play.
I kind of restrained myself into playing around a 'relatively' small size like this 18x18 one, and it actually turned out to be the single puzzle with the most amount of backups/restarts I've ever done, with over 20 backups just in the last few weeks (hence the long delay till this point). Despite all of that, this was still one of the funnest setting experiences I've ever gone through and the longer delay was just the result of my desire to provide the sweetest puzzle experience to everyone here.
After all, it's a special birthday edition anyway and I honestly won't mind revisiting this part in the near future with an even larger size like 25x25 for fullest potential (or even considering the third part as a mashup of the first two parts) if more and more people request/convince me to try so :)
With that said, the very next part will explore Japanese Sum versus assigned pentominoes idea and I hope that I can come up with something good too.
For now, do enjoy the second version here! The last few parts may be trickier compared to the rest of the solve but the entire puzzle should be clear enough to follow through the solve in my opinion.
Rules:
- Shade some pentominoes into the grid - i.e. regions of five orthogonally connected cells. Pentominoes cannot touch each other orthogonally but may touch each other diagonally. Gray cells cannot belong to any shaded pentomino.
- Each possible pentomino shape can be used any number of times, including none, which also means that not all possible shapes are necessarily used.
- Additionally, excluding all gray cells, draw a single loop that goes orthogonally through all of the remaining unshaded cells and also doesn't visit any shaded pentomino. The loop cannot branch or intersect itself at any point.
- Each shaded pentomino must be 'assigned' with an integer number from the range of 1-12, and such number is written into all five cells of that pentomino. Same shaded shapes are assigned with same number while different shaded shapes are assigned with different numbers.
- Some gray cell contains clues, which include arrow[s] and a pentomino shape (in the form of letter); a question mark (?) corresponds to an unknown shape that's required to be deduced, and different question marks may or may not correspond to the same shapes. A clued gray cell implies two things:
+ When searching along all indicated directions from that cell, there must be exactly one shaded pentomino of its corresponding shape to be found.
+ The assigned number of its corresponding shape is also equal to the combined amount of shaded cells found in all indicated directions.
(The compass at top right is for keeping track of the arrow's direction: Up, Down, Left, Right.)
(The table at bottom right is for keeping track of the assigned number for each pentomino shape appearing in the grid. If a shape isn't used at the end then its assigned number is left empty)
The bank including all possible pentomino shapes can be found below:
Puzzle: Penpa plus - Sudokupad
The answer check in penpa link will activate once both following conditions are met: The loop is correctly drawn and the pentominoes with their respective assigned numbers are correctly filled (both in the pentominoes and in the tracking table at bottom right, but I don't ask for the shading check this time).
For now, good luck and have fun solving!
Solution code: Enter the marked row (row 16) from left to right - in case of a pentomino cell, enter its respective assigned number; in case of a loop cell, enter capital letter L if it's a loop's turn or capital letter I if it's a loop's straight segment.
Last changed on today, 06:07
Solved by h5663454
