Magic Square Madness: Magic Squares are Everywhere in this Sudoku!

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#sudoku #SudokuSleuth
Today's Puzzle:
I missed this puzzle that came up approximately 3 weeks ago, but so glad I found it. If you're not as confident around magic squares, make sure you check out the tutorial I've made about it.
Link to Play Along:
Magic Square Madness by Will Power
tinyurl.com/Sud...
Rules:
Normal Sudoku rules apply. A 3x3 magic square has all three horizontal rows, all three vertical columns and both major diagonals each sum to 15. There are six magic squares in this puzzle. Five of them are in continuous 3x3 areas that the solver must find. The sixth magic square only contains the CENTER CELL of each of the nine standard 3x3 sudoku boxes. KILLER CAGES- Numbers in cages sum to the number in the top left corner of the cage. All numbers in cages are part of continuous magic squares.
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Опубликовано:

1 окт 2024

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Комментарии : 32

@WilliamChapin-y7x 8 месяцев назад

Hello, Sleuth. Thank you for solving this puzzle. I wanted one with as little inside the grid as possible. If you find yourself needing puzzles you haven't done before, I can suggest these that are all 1-star, 92+ rating on LMD: FROM 2022- "Plaid Patches and Zipper", "Hot Air Balloon", "European Neighborhood", "Stickman Proposal", FROM 2023- "The Thinker" and "Jigsaw Puzzle". -Will Power

@SudokuSleuth 8 месяцев назад

Thank you Will Power, yet another incredible puzzle, and will certainly checkout the puzzles you’ve recommended!

@karthick_michigooner7431 8 месяцев назад

@user-xh6tt8mp3l - Hi Will Power, I was wondering why you had the constraint that all cages have to be part of the magic square? Doesn't it disambiguate without that? I thought they did! Am I wrong?

@WilliamChapin-y7x 8 месяцев назад

@@karthick_michigooner7431 Hello. I originally release my puzzles on Logic Masters Germany. Sleuth picks them up from there. On LMD, the solvers get very testy if they need to look forward in the solve a significant amount of steps to get disambiguation. They call this "bifurcation" (trial and error). To be sure that I signal that the four magic squares are placed counter-clockwise from the North, South, East and West directions, I used that rule. If not given, it requires testing that takes the solver down a few roads, if they are not lucky when selecting their original conjecture. Using a rule that may (eventually in the solve) be seen as redundant is frowned upon, but bifurcation is a sin. I will error to the former almost every time. Thanks for your comment. Peace to you. -Will Power

@stevesebzda570 8 месяцев назад

This solved nice. After noticing the cages had to be part of the magic squares, I went in two dominos, and the only place for "5 in the middle of them," that extended those magic squares. Then when Slueth noticed that "7" in that cage left "8" (and 2 opposite that 5 --and many other things) that did it. Slowly and carefully (so as not to mistype) it all worked out smoothly. Nice one.. (And fun..) 30 minutes or so (yeah, of that "fun") Sweet 😂

@Pwecko 8 месяцев назад

8:01 for me.

@jonathansperry7974 5 месяцев назад

11 min 28 sec. I didn’t figure out the location of the last magic square (the one in Box 5) until I was finished, so that wasn’t needed for the solve.

@neil2796 8 месяцев назад

I could have been quicker, but I always forget how magic squares work. Not bad time for me though. 19:50

@patrickweix8289 8 месяцев назад

13:40 for me. Interesting with the disjoint magic square.

@ryuuguu01 8 месяцев назад

As usual an enjoyable video, and an exceptional puzzle this time forgot about the cage totals when doing the magic squares and the basic 3x3 in plain Soduku solving at the end. I also placed all the 5 5s first so did the puzzle almost completely differently than Sleuth, also much much slower. I was surprised Sleuth, being a symmetry fan, did not mention the 180º rotation symmetry that summed every square to 10.

@SudokuSleuth 8 месяцев назад

I don’t know how I missed it! That’s the theme with this puzzle though. After all I nearly missed this one in its entirety 😉

@tjtribble. 7 месяцев назад

How do you know that each magic square contains the digits 1-9? If they don’t line up with the sudoku squares, can’t there be repeats, and then different numbers in the center?

@SudokuSleuth 7 месяцев назад

That's a really good question... and likely an erroneous assumption I made. Just thinking out loud - I think the blue square in the middle is forced. I don't see how you can fit 5 continous ones in their without the blue square. With 5 in the centre of the blue square (also the purple square), these two squares at least end up using these digits to get to 15 (nature of having 5 in the middle means you need the digits surrounding it to add up to 10). The remaining boxes have cages in them that force one of the digits, but not necessarily a unique set of the digits 1-9. I need to think about this further!

@jonathansperry7974 5 месяцев назад

Magic squares don’t have repeated digits, under the standard definition.

@anaayoung9142 8 месяцев назад

Whaaaa... got lost for a while. Why? I did not read all the rules 😅 The cages must be part of the magic squares 🤦‍♀️ After that I did it! Thanks for it 😀

@JS... 8 месяцев назад

AAAAARGH! I spent like half an hour pondering the two possible positions, one with the cages fully in the squares and the other just half of the square. For some reason I managed to skip that part of the rules too. All the time I kept wondering how is this 1* difficulty.

@anaayoung9142 8 месяцев назад

@@JS... Yes! I was doing the same, so I decided to watch the solve, he start speaking and I read the rules again.... 😅

@SudokuSleuth 8 месяцев назад

I often wondered about the value of stepping through the rules at start of every video The thing is, so many of my non-recorded solves have the same issue. I get stuck, I scratch my head, I question the difficulty rating, and then finally I notice the rulesets that allow me to move forward 😆

@anaayoung9142 8 месяцев назад

@@SudokuSleuth It is very important, I should start the solve only after you read the rules 😆

@karthick_michigooner7431 8 месяцев назад

Lovely solve @sudokusleuth! I solved it without having read that cages need ro be part of the magic Squares. Not sure why that rule was there in the fiest place. Used the 13-cage to prove that the alternate arrangement doesnt work. 49 doesnt work bcos the magic square needa a 9 next ro 4; 67 doesnt work bcos it forces a 3 next to a 6 in the magic square. And 58 cannot work bcos 5 needed in center. The rule about caged numbers makes it much more easier!!

@stevesebzda570 8 месяцев назад

That's fine for that "13-cage," with all your machinations, but there are still four others (besides box5's one) to place. I think I just saw why. Someone was wondering about a 5 in r4c2, and I saw sudokuslueth give an answer: "If he shifted that magic square up, both cells in the cage in box4 wouldn't be covered per the rules.." That could be why that rule is in there. (I certainly used it - going in two dominos from them) That could be why though.

@StGordo61 8 месяцев назад

Sleuth….brilliant explanation of the magic square logic. And how to find the mystery 4 squares. Excellent

@SudokuSleuth 8 месяцев назад

Thank you!

@Dobetter-ti7ts 8 месяцев назад

At around 11 minutes you draw the squares in the correct finishing position but it was also possible to place a 5 in row 4 column 2 and continue around the grid clockwise. The killer cages parity positioning disprove this position so that was a fortunate slip. Very nice puzzle though.

@SudokuSleuth 8 месяцев назад

If I place a 5 in row 4 column 2 (I.e shift the green square up 2 cells), then I exclude one of the cells in the 7 cage from being in a magic square, and both cells were in the squares per the rules

@marcoemadzadeh8977 8 месяцев назад

at the 11:31 mark, you’ve colored 5 total magic squares. But how did you know the exact positioning of the 5s of those squares? For instance, why couldn’t the red square be shifted two columns to the right, the orange shifted two to the bottom, the yellow shifted two to the left, and the green shifted two upwards?

@SudokuSleuth 8 месяцев назад

But if I shift the red square two to the right, I leave out one of the 9 cage cells out of the magic square. Same logic for the remaining squares, the cages and the centre 5 in the grid forces all the squares

@marcoemadzadeh8977 8 месяцев назад

Jesus, I missed that last part of the rules lol. Rookie mistake. Thank you!

@psiphiorg 8 месяцев назад

This one felt really easy, once I found the trick with the cages' magic squares around the grid. Knowing what the center digit of each square had to be, I could place those and fill in the remaining digit on the edge of the grid adjacent to the cages. This, in turn, gave me the opposite corners. Where one magic square saw another through the row or column, that gave me the remaining corners, and basically filled in each grid from there. And after placing the last unfilled digits in the expanded magic square, it was all just basic sudoku from there, with no techniques more advanced than naked/hidden singles. At one point, I thought I had found an X-wing pattern, but because I had already placed that digit everywhere else in the grid, that didn't end up going anywhere. My time was 3:33, solver number 158.

@psiphiorg 8 месяцев назад

Interestingly, I forgot that there were supposed to be 5 contiguous magic squares in the puzzle until watching the video, and didn't notice the fifth one, which I just filled out using regular sudoku.

@SudokuSleuth 8 месяцев назад