Deception Preview 8: Counting The Naturals

Domino Nurikabe Shade some cells black so the black cells form a tapa wall. No cell with a number may be shaded black. The black cells divide the white cells to several polyominoes (islands), all maximal (cannot be extended). Each island must have exactly one number that tells the size of the island. In addition, it must be possible to partition the black cells to dominoes. Such partition need not be unique, as long as there exists at lest one.

Answer key: Enter the lengths of the lines of black cells in the marked row/column. If the row/column has all/no black cells, enter 0.

Difficulty 3.5/10 • Target times 01:00 02:30 04:00 10:00
Solution Answer key (highlight →) 311,41PNG (not uploaded)ZIP of PDF (not uploaded)DOCX (not uploaded)

Deception Preview 8: Domino Nurikabe

Deception Preview 8: Counting The Naturals
Domino Nurikabe

Eighth preview puzzle. Try solving the puzzle with 18 changed to a question mark (indicating an unknown number). Otherwise, not much gimmick. Figuring out the top-right part is a little tricky though.

Special Puzzle 8: It’s Erased

Domino Nurikabe. Follow regular Nurikabe rules (color some cells black so black cells form a single polyomino and white cells form separate polyominoes (islands) so each island contains exactly one number which represents its size). In addition, the black cells must be able to be partitioned into non-overlapping dominoes. Question mark represents an unknown number.

Sky woke up. “Darn, I shouldn’t make puzzles that late. What, I think it was 1 AM or something when I fell asleep…”
He reviewed his puzzle, and noticed something was smudged. “Err, what’s the number in this cell supposed to be?”
“Hey Sky! Has the puzzle been made?” someone shouted from outside, shocking him.
“Oh ya right! Just a little fix!” Sky rushed to find the number in the erased cell, but he couldn’t get the actual number. Hesitantly, he erased the smudge, put a question mark in it, and gave it to his senior that leads The Daily Puzzle, otherwise known as Chaos at the Sky.
“Domino Nurikabe, with an unknown number. Seems legit. Let’s see,” and the boss, chaotic_iak, left. Sky returned to his home sadly.

Special Puzzle 8: It's Erased Domino Nurikabe

Special Puzzle 8: It’s Erased
Domino Nurikabe


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Puzzle 16: Domino Nurikabe

The actual Puzzle 16 that is not broken. Still Domino Nurikabe. This one is pretty hard IMO.

Follow regular Nurikabe rules. In addition, the stream can be partitioned into 1×2 dominoes.

Puzzle 16: Domino Nurikabe

My solution here is valid, but I’m not sure about whether there are multiple solutions or not because I used some large-scale logic (as in testing many choices while there is still a pretty large space left). Yay.