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Calcudoku with diagonals
http://www.calcudoku.org/forum/viewtopic.php?f=16&t=548
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Author:  kozibrada  [ Wed Feb 26, 2014 5:29 am ]
Post subject:  Calcudoku with diagonals

Hi, solvers, I was inspired one of speciality of sudoku – sudoku with diagonals. So I created such calcudoku. In both diagonals (gray lines) must appear each of numbers 1–7.

Image

Good solving… [thumbup]

Author:  mparisi  [ Wed Feb 26, 2014 6:02 pm ]
Post subject:  Re: Calcudoku with diagonals

kozibrada wrote:
Hi, solvers, I was inspired one of speciality of sudoku – sudoku with diagonals. So I created such calcudoku. In both diagonals (gray lines) must appear each of numbers 1–7.


Nice puzzle! Thanks.

Author:  bram  [ Thu Feb 27, 2014 3:16 am ]
Post subject:  Re: Calcudoku with diagonals

Groovy! With my beloved bitwise OR! [love]

Author:  nicow  [ Thu Feb 27, 2014 10:53 am ]
Post subject:  Re: Calcudoku with diagonals

Nice puzzle. Indeed just 1 solution.

Author:  clm  [ Sun Mar 02, 2014 12:55 am ]
Post subject:  Re: Calcudoku with diagonals

Thanks for your effort, I have really enjoyed it. [thumbsup]

Very original puzzle, I also think that the solution is unique with the restriction imposed (the main diagonals). I like the symmetry of the diagram too (producing that particular set of numbers in the central H-shape cage).

Considering that the solution is unique (even without the restriction), according to nicow (particularly myself I have not analyzed this) I would suggest that you "propose" it as user-defined puzzle (in the "Submit your own puzzles to the site") link.

If you decide so, here is the code (if it is helpful for you):

11,+,a1a2b1
10,+,c1d1e1
12,+,f1g1g2
5,|,b2c2
28,x,d2d3
7,|,e2f2
11,+,a3a4a5
4,-,b3b4b5
81,^,c3c4c5d4e3e4e5
0,-,f3f4f5
15,+,g3g4g5
6,x,d5d6
16,+,a6a7b7
7,|,b6c6
5,|,e6f6
9,+,f7g6g7
11,+,c7d7e7

Author:  sjs34  [ Sun Mar 02, 2014 3:11 am ]
Post subject:  Re: Calcudoku with diagonals

I had a similar thought, knowing that if I were clever enough to construct such an excellent puzzle, I would have major difficulty with the code for submission. I then realized, though, that submissions are currently limited to addition, subtraction, multiplication and division. I hope Patrick will be able to change this when convenient.

Author:  nicow  [ Sun Mar 02, 2014 12:17 pm ]
Post subject:  Re: Calcudoku with diagonals

Image

This is the first 'solution' my solver found. See the multiple 7's in the diagonal.

So I added to the (new) model the restriction for diagonals; that's quite easy.

clm is right, this is not a good 'solution'.

Author:  clm  [ Sun Mar 02, 2014 2:44 pm ]
Post subject:  Re: Calcudoku with diagonals

nicow wrote:
...
This is the first 'solution' my solver found. See the multiple 7's in the diagonal.

So I added to the (new) model the restriction for diagonals; that's quite easy.


For this first solution you found, it is a little confusing for me how can you get the result 81^ in the central H-shape cage, that is, in which sequence of the operation ^ .

Author:  pnm  [ Sun Mar 02, 2014 4:22 pm ]
Post subject:  Re: Calcudoku with diagonals

sjs34 wrote:
I then realized, though, that submissions are currently limited to addition, subtraction, multiplication and division. I hope Patrick will be able to change this when convenient.

In practice there is no such restriction, I only wrote that to try and make the submission page
a bit more accessible.

Author:  pnm  [ Sun Mar 02, 2014 4:26 pm ]
Post subject:  Re: Calcudoku with diagonals

clm wrote:
For this first solution you found, it is a little confusing for me how can you get the result 81^ in the central H-shape cage, that is, in which sequence of the operation ^ .

Yes, I don't see that either.

Here's a solution, one of 152 found by my solver:

5 4 3 1 6 7 2
2 5 1 4 7 6 3
6 1 5 7 3 2 4
4 2 7 6 1 3 5
1 7 4 3 2 5 6
7 3 6 2 5 4 1
3 6 2 5 4 1 7

Still something not quite right though, because it can't find a solution with different numbers on both diagonals [sad]

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