Logic Masters Deutschland e.V.

Magic Cages

(Published on 6. March 2021, 12:04 by Göran H)

Normal Sudoku rules apply: Place numbers in the grid such that each row, column and 3x3 box contain the numbers 1 to 9.

Diagonal rule: Both the main diagonals should also contain the numbers 1 to 9.

Magic square: The digits in one of the 3x3 boxes are arranged in a magic square, i.e. the sums of the numbers in each row, each column, and both main diagonals in that box are the same.

Magic cages: There are 9 cages marked in the grid, forming a 3x3 pattern of cages. The digits in each cage sum to a different number. The cages, seen as a 3x3 grid with columns A-B and rows 1-3 form a magic square, i.e. the combined cage totals in each row, each column, and both main diagonals of cages are the same. For example, if cages A1, B1 and C1 sum to 48, then cages A1, B2 and C3 also have to sum to 48.

Kropki dots: Two cells that are separated by a white dot contain consecutive digits. If two cells are separated by a black dot, the ratio between the digits in those two cells is 2:1. Not all possible dots are given.

INFO (as the purpose of the puzzle is not to test your knowledge about magic squares): In any 3x3 magic square, the central cell is 1/3 of the magic sum that all the rows, columns and diagonals add up to.

Solve it on f-puzzles:
https://f-puzzles.com/?id=y6vj3vqx

Solution code: Row 4 followed by Column 6

Last changed on on 5. November 2021, 14:29

Solved by Julianl, saskia-daniela, skywalker, bigger, olima, KlausRG, NikolaZ, zorant, SKORP17, Kurisu86
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Comments

on 5. November 2021, 14:29 by Göran H
Added "Online solving tool" tag

on 8. March 2021, 16:09 by Göran H
Thank you, Skywalker and Olima! I'm glad you liked it!

on 7. March 2021, 14:26 by olima
It took some time to get my head around the ruleset with the magic cages... but that's maybe just my missing killer instinct. :) Nice puzzle!

on 7. March 2021, 10:17 by skywalker
Thanks for this one!! Really nice logic.

Difficulty:3
Rating:N/A
Solved:10 times
Observed:10 times
ID:0005MB

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