Equality Cages 144: Equality Islands
(Published on 7. January 2026, 20:14 by gUBBLOR)
Me and Jasura teamed up for some Nurikabe action.
The previous puzzle in the series:
Equality Cages 143: Region SumDrone
All my series:
Equality Cages
EquaLite Cages
Shifter Lines
Shifter Dots
Rules:
Normal Sudoku rules apply. Place the digits 1 through 9 in each empty cell. Digits must not repeat within the same row, column, or box.
Nurikabe: Color the grid so that some cells are islands and some cells are water. Islands are a group of orthogonally connected cells, the size and shape of which must be deduced by the solver. All the water must be orthogonally connected. Islands may not touch each other orthogonally. NO 2x2 AREA MAY BE FULLY WATER OR FULLY ISLAND.
Circles: All the circles are water, and the digit inside the circle indicates how many water cells can be seen in any orthogonal direction (including itself). Island cells block vision.
Cages: All the cage cells are on an island, and the digit inside the cage indicates the size of the island. There is exactly one cage cell on each island, and it's shape must be deduced by the solver.
Equality cages: All islands are their own equality cage. Islands must have an equal number of low (1,2,3,4) and high (6,7,8,9) digits AND an equal number of even (2,4,6,8) and odd (1,3,7,9) digits. Islands can never contain 5. Digits may not repeat on an island.
XV: Adjacent cells connected with an X must sum to 10. Adjacent cells connected with a V must sum to 5. Not all X's or V's are shown.
Solve here:
Sudokupad
The previous puzzle in the series:
Equality Cages 143: Region SumDrone
All my series:
Equality Cages
EquaLite Cages
Shifter Lines
Shifter Dots
Rules:
Normal Sudoku rules apply. Place the digits 1 through 9 in each empty cell. Digits must not repeat within the same row, column, or box.
Nurikabe: Color the grid so that some cells are islands and some cells are water. Islands are a group of orthogonally connected cells, the size and shape of which must be deduced by the solver. All the water must be orthogonally connected. Islands may not touch each other orthogonally. NO 2x2 AREA MAY BE FULLY WATER OR FULLY ISLAND.
Circles: All the circles are water, and the digit inside the circle indicates how many water cells can be seen in any orthogonal direction (including itself). Island cells block vision.
Cages: All the cage cells are on an island, and the digit inside the cage indicates the size of the island. There is exactly one cage cell on each island, and it's shape must be deduced by the solver.
Equality cages: All islands are their own equality cage. Islands must have an equal number of low (1,2,3,4) and high (6,7,8,9) digits AND an equal number of even (2,4,6,8) and odd (1,3,7,9) digits. Islands can never contain 5. Digits may not repeat on an island.
XV: Adjacent cells connected with an X must sum to 10. Adjacent cells connected with a V must sum to 5. Not all X's or V's are shown.
Solve here:
Sudokupad
Solution code: A completion message with the solution code will be available when the puzzle has been solved on Sudokupad!
Last changed on on 8. January 2026, 16:53
Solved by Jasura, fahmisack, yttrio, gdc, SPring, SKORP17, Mattisahuman, gxorgx, ehnvn, cornish-john, Elliott810, scushuaishuai, Snookerfan, Exigus, NEWS, Byon, tiuhto, jordanza, cornbread, daymocker, dzamie, ... Franjo, dogfarts, tricksy1224, KyleBaran, PuzzlePatzer, cornuto, SquishyTonk, Alce, trashghost, ChinStrap, monaters, littlebluue, widjo, vfig, lune, Nickd88, ScatterBrain, Shmartus, chinesemaster
Comments
on 10. January 2026, 08:38 by PuzzlePatzer
very nice puzzle - thanks for sharing!
on 9. January 2026, 17:03 by Franjo
Thank you very much for creating and sharing this beautiful Nurikabe-hybrid.
on 8. January 2026, 09:37 by Snookerfan
Fun and approachable! Thanks
on 8. January 2026, 06:14 by gUBBLOR
Changed the "no 2x2 area" part of the ruleset to caps lock for emphasis.
Last changed on 8. January 2026, 06:15
on 7. January 2026, 21:29 by gdc
Very nice puzzle. Not too hard and many interesting steps.
Might be worth emphasizing the "no 2x2 on islands" rule more since this is not standard for nurikabe.
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Thank you and thanks for the feedback, appreciate it!
