Logic Masters Deutschland e.V.

Pharaoh's Capstone Cage (Fog)

(Published on 16. March 2026, 04:06 by Liamhere)

Dynamic Fog: Placing correct digits may clear up fog somewhere on the grid. No guessing is required.

Classic Sudoku: Fill every row, column, and 3x3 box with the digits 1–9 exactly once.

Unique Cages: Digits within a cage must not repeat. There are 10 cages in the grid, each with a unique total. These totals must be deduced.

The Pyramid Stack: The 10 cages are arranged in a pyramid formation. For every cage—except for the four at the base of the pyramid—the cage total must equal the sum of the totals of the two nearest cages beneath it.

Pink Line: The pink line is NOT the typical Renban line. The totals of all cages touched by the same pink line must form a set of consecutive integers, in any order.

White Kropki Dots: Cells separated by a white dot must contain consecutive digits.

Thermometers: Digits along a thermometer must strictly increase starting from the bulb.

Solve on Sudokupad.

Solution code: Digits on Row 1 (left to right)

Last changed on on 16. March 2026, 04:11

Solved by maniacaljackal, SeveNateNine, Crusader175, penny121, Ftown778, StevenS, TheCutmaster, TeamSchmidt, MartinR, 3ColorTheorem, Piff, RebelSystem, WenVo, matiasv5, WvdWest, Alce, schnitzl, Spooof, ... underdude, teuthida, terbe1591, Chiefredhawk, penor, MattJones, Laje6, timww572, Photyne, Raistlen, agvard, n1m, Drafuf, jgarber, Reina, arteful, Frutlop, Selsted, ryugane, RadchenkoAleksandr
Full list

Comments

on 19. March 2026, 13:15 by varbrad
Very cool - once you've worked the maths out, it flows super nice.

on 17. March 2026, 11:24 by Stullenesser
That was a lot of fun, thank you for setting it :)

on 16. March 2026, 14:47 by faltenin
That was nice! I would put it at 1 star if you can do the math up front on the cages.

on 16. March 2026, 13:35 by WvdWest
Nice variant with a nice flow. Great puzzle

on 16. March 2026, 04:11 by Liamhere
Enjoy Solving!

Difficulty:2
Rating:95 %
Solved:94 times
Observed:3 times
ID:000RWT

Standard puzzle

Enter solution

Solution code:

Login