9 colored cells also 1 to 9

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9 colored cells also 1 to 9

Postby urhegyi » Thu Jan 26, 2023 8:48 pm

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Re: 9 colored cells also 1 to 9

Postby Hajime » Thu Jan 26, 2023 10:46 pm

Nice... Will try it manually :?
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Re: 9 colored cells also 1 to 9

Postby urhegyi » Thu Jan 26, 2023 11:28 pm

Hajime wrote:Nice... Will try it manually :?

I just finished it.
Yes, it's solvable by hand and not to hard.
source:
https://logic-masters.de/Raetselportal/Raetsel/zeigen.php?id=00018U
To solve online:
https://tinyurl.com/2r33zxe5
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Re: 9 colored cells also 1 to 9

Postby urhegyi » Sat Jan 28, 2023 8:54 pm

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Re: 9 colored cells also 1 to 9

Postby urhegyi » Sat Jan 28, 2023 8:55 pm

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Re: 9 colored cells also 1 to 9

Postby urhegyi » Sun Jan 29, 2023 11:24 pm

Solved example 1 and 3 without diagonals.
The first was medium, second really hard.
After solving you can verify your solution on the site of logic-masters.de by submitting the row and column marked with an arrow.
Because there are still people solving them, I didn't post my solutions. It would spoil their pleasure.
In both examples the overlapping rectangles between the two grids contain also a full set of 1 to 9.
Coincidence or is this because of the way they were generated?
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Re: 9 colored cells also 1 to 9

Postby creint » Wed Feb 01, 2023 10:03 pm

First one requires at least one locked single.
The second one is invalid. 6 cannot be in 2 places in row 6. Forced by / diagonal and forced by box.
Last one has many layers of locked singles and one layer of sets and x-wing.
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Re: 9 colored cells also 1 to 9

Postby urhegyi » Wed Feb 01, 2023 11:51 pm

Rules for the second puzzle:
Place the digits 1~9 in both puzzles in every row, column and the two main diagonals.
For the puzzle as a whole: fill in the digits 1~9 in every outlined area and twice in the yellow squares.
I believe in the top sudoku 6 can't go in one of the yellow squares. So there are 2 yellow squares in the bottom puzzle that have to contain a 6. 2 sets of 1 to 9 for the whole puzzle, but not necessary a complete set for each of them.
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Re: 9 colored cells also 1 to 9

Postby thelardoffear » Thu Feb 02, 2023 1:23 am

The second puzzle is valid and has a single solution and just needs locked candidates (including on the diagonals).

For the second grid R7C9=2 is a hidden single for column 9 which then means that R6C10=6 is a hidden single for the top-right diagonal of the first grid.

Also the two yellow 6s are in the bottom grid.
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Re: 9 colored cells also 1 to 9

Postby urhegyi » Thu Feb 02, 2023 3:33 pm

thelardoffear wrote:The second puzzle is valid and has a single solution and just needs locked candidates (including on the diagonals).

For the second grid R7C9=2 is a hidden single for column 9 which then means that R6C10=6 is a hidden single for the top-right diagonal of the first grid.

Also the two yellow 6s are in the bottom grid.

Thank you for the hints.
Meanwhile I solved them all.
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Re: 9 colored cells also 1 to 9

Postby urhegyi » Mon Feb 06, 2023 7:59 pm

Another one:
Here are two 9x9 jigsaw sudokus that partly overlap. Place the digits from 1 to 9 in every row and column of both grids.

For the puzzle as a whole: place the digits from 1 to 9 in every boldly outlined irregular area and twice in the green cells.

Before solving: replace the letters A,E,M,R,S,X,Y by seven different digits from 1 to 9.
Anyone has an idea how to replace them by the correct numbers?
What I already know is that M=4 AND R=9 AND A=6 AND X=1 AND E=2 AND Y=8 AND S=7(solved)

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Re: 9 colored cells also 1 to 9

Postby thelardoffear » Tue Feb 07, 2023 1:57 am

With the letters solved the puzzle is easily solved with just singles.

Without them all I could get was the following possibilities for the letters:

M 4,7
E 2,3,4,7
R 4,9
Y 3,4,5,8
X 1,4,7,9
A 3,4,6,9
S 4,5,7,9

Trial and error could eliminate 3 from being a possible value for A but I couldn't get any further.
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Re: 9 colored cells also 1 to 9

Postby urhegyi » Tue Feb 07, 2023 6:58 pm

M goes in R13C14 and can't be 7. So M=4 AND R=9.
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Re: 9 colored cells also 1 to 9

Postby thelardoffear » Tue Feb 07, 2023 11:45 pm

I was just focusing on possible values for each of the the letters so I never noticed that.

With M=4 and R=9 and the other deductions I made earlier the puzzle is solved with just locked candidates.

With M and R filled in and no other assumptions about any of the other letters, the puzzle can still be solved with locked candidates and naked pairs.
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Re: 9 colored cells also 1 to 9

Postby creint » Sat Feb 11, 2023 10:52 am

2 was solvable ignoring the yellow constraint (every digit twice in constraint).
4 is solvable without knowing the letters, hard SE < 10.
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