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Fog-onacci

(Published on 6. July 2026, 17:04 by GraphZahl81)

Standard Sudoku rules apply: Every row, column, and 3x3-box contains the digits 1-9 exactly once.

Most of the board is covered in fog. Correctly placing digits removes the fog from that cell and sometimes also from other parts of the board. No guessing is required (and would indeed be strongly frowned upon).

The Fibonacci sequence is the sequence
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ...
It is defined by its first two elements 0 and 1, and the rule that the sum of any two consecutive elements equals the next element of the sequence. The elements of this sequence are called Fibonacci numbers.

Let X, Y, Z be consecutive Fibonacci numbers ("consecutive" referring to their appearance in the sequence, not to their values), in ascending order. If X, Y are both single-digit numbers and are adjacent in a row such that Y does not lie at one of the two ends of the row, the following rules apply:
- If Z is also a single-digit number, then Y, Z are adjacent in this row.
- If Z has two digits and, following the row in the direction that meets X before Y, there are at least two more cells after Y, then the next two cells after Y spell out Z when we read them from left to right.
- Otherwise, there is exactly one cell in this row after Y and the digit of Z that would need to be placed outside the board if the previous rule were applied is omitted (but the other digit is still placed).

The same rules apply to columns as well. In that case, if Z has two digits, it is spelled out in two cells by reading from top to bottom.

Within each cage (a set of cells surrounded by a dashed line), the digits sum to a Fibonacci number and cannot repeat. If the cage is red, all its digits are also Fibonacci numbers. Black cages may contain digits that are not Fibonacci numbers.


Sudokupad


Solution code: Row 7 from left to right

Last changed on on 6. July 2026, 17:05

Solved by jalebc, SKORP17, marajade, gmart, illegel, kublai, WvdWest, jkuo7, EL Buderino, thedeanster, Gunkan, Zzzzz..., DomDaBomb
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Comments

yesterday, 17:06 by GraphZahl81
Since the word "adjacent" is only used when talking about digits in the same row or in the same column, they cannot be diagonally adjacent anyway.

yesterday, 15:59 by carl.gershman
I think you should clarify that "adjacent" cells is "orthogonally adjacent", cause if not - your rule broken

yesterday, 05:51 by DomDaBomb
Really not too difficult - agree with the 2 star difficulty. Just have to get your head around the rules and their implications…very nice!

on 7. July 2026, 02:05 by gmart
beautiful!

on 6. July 2026, 17:05 by GraphZahl81
Corrected a typo

Difficulty:2
Rating:N/A
Solved:13 times
Observed:1 times
ID:000TLY

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