Jewel Cave: Long Reach
Puzzling Asked on April 30, 2021
As in a previous puzzle, the goal of this Jewel Cave is to place the given shapes (in this case, the standard pentomino set) into the grid, subject to the following rules:
- All unshaded squares must form a single orthogonally (on a side) connected region.
- Two shapes cannot be orthogonally adjacent.
- All squares with darkened circles must be in a shape.
- All squares with numbers are unshaded, and must have that number of unshaded squares directly connected to it horizontally and vertically, including itself.
- All shaded squares must be connected, orthogonally or diagonally (necessary at shape boundaries), by other shaded squares to the edge of the grid.
I hope you enjoy!
Text Version
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| | | | | | | | | | | | | | |2 6|
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| |1 9| | |1 8| | | | | | | | | | |
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| | | | | | | | | | | | | 8 | | |
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| | | 3 | | | | | | | | | | | | |
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| | | | | | | | | | | | | | | |
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| | | | | | | | | | | | | | | |
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| | | 4 | | | | | | | | | | 2 | | |
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|1 2| | | ● | | | 5 | | | | | | | 2 | |
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| | | | | | | | | | | | | | | |
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| |1 2| | |1 0| | | 4 | | | |1 2| | | |
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| | | | | | | | | | | | | 3 | | |
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| | | | | | | | | | | | ● | | 5 | |
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| | | | | |1 0| | | 9 | | | | | | |
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| | |1 7| | | | | | | | | | | | |
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|2 3| | | | | | | | | | | | | |1 6|
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* * * *
* * ** ** * * ** ** * * ** * *T*
I L Y N * *Z* *W F* *U* *P* *X* *
* ** * * **V * * * * *
*
One Answer
Cave clues alone can give a surprising amount of progress:
And if we remember that all shaded regions are pentominoes, more can be done:
Now it's time for some more in-depth logic:
Continuing...
And now it's finally time to use the connectivity rule!
And finally, there's only one way to place the remaining pieces and satisfy edge connectivity.
Correct answer by Deusovi on April 30, 2021
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