Logic Masters Deutschland e.V.

Integral Magic Squares

(Published on 16. April 2022, 18:32 by mathpesto)

I decided to step outside my comfort zone and work with a 9x9 grid for a change ;-) I was teaching integer operations to my students recently and naturally thought about how to make a puzzle out of it. The information is minimal, but I can assure you no bifurcation is necessary. There are, in my opinion, some neat tricks that, if you discover them, will allow for a very smooth solve. Feel free to post a hidden comment below or message me on Discord if you'd like any help! Please be sure to check out my other puzzles here.

Rules:

Each cell contains one of the integers –8 through 8. Numbers cannot repeat in a row, column, 3x3 box, nor in the same position within the boxes (i.e. disjoint rule). Numbers in a cage must sum to the given total. For each box, the numbers form a set of consecutive integers, and the row, column, and diagonals have the same sum (i.e. magic square).


Note: Because you cannot input a negative sign, my suggestion is to shade a cell green for positive and red for negative. So the grid can, for example, contain two 1’s in the same row, but one will need to be green (for 1) and one will need to be red (for –1).


Solve on Cracking the Cryptic


Puzzle:

Solution code: Write the absolute value (i.e. ignore any negative signs) of the numbers in Row 5 (left to right) and Column 1 (top to bottom) (18 digits, no spaces)

Last changed on on 23. April 2022, 18:21

Solved by efnenu, RJBlarmo, noname1477, sbb618, s0k0n, Ocean, jkuo7, helpicantstopbirding, KlausRG, djorr, Bellsita, OGRussHood, Vebby, dogfarts, Hazem-77, SudokuHero
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Comments

on 17. April 2022, 14:41 by mathpesto
Clarified rules and slightly modified one cage (doesn't affect solution).

Difficulty:4
Rating:93 %
Solved:16 times
Observed:6 times
ID:0009O1

Variant combination New Online solving tool

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Solution code:

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