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Calcudoku with diagonals https://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. Good solving… 
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! 
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. 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 Hshape 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 userdefined 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 
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 Hshape 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 Hshape 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 
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