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Diagonal Latin squares of order n>10

Diagonal Latin squares of order n>10

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Tomáš Brada
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Message 4354 - Posted: 11 Jan 2021, 16:24:08 UTC - in response to Message 4349.  
Last modified: 11 Jan 2021, 16:24:17 UTC

Code of square
DW71H14GBTJeK6fE1RcSBVdKdAhrHJYM

Canonical form: DaUayP5fWmYHjcNNj3JnBN6rQXiMjg6
24901 d-transversals.
Found first 1075 ODLK found in path (1,1) to (1,5): https://boinc.tbrada.eu/download/DaUay.1.1-5.txt
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Message 4355 - Posted: 12 Jan 2021, 7:03:51 UTC
Last modified: 12 Jan 2021, 7:04:29 UTC

Hello, Tomáš Brada!
I tried the kanonb.exe program for this DLS of order 17
JQiBJzfpi4cDA7gjVeqHYS9v66FyyHaywfvhUvgBXnkJa2PbDv7UgMAgKYZupiCsckFX7b8kMdaEFFREt4gbPtRSf2

The program ran for 11 hours and did not end.

Console
C:\Users\Дом\Downloads\libr>kanonb.exe  0<a.txt 1>out2.txt
# KanonizerV(17): transformations: 36 + 8, initializing...
4182016

I am assuming there was not enough RAM.
How much RAM is required for the program?
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Message 4356 - Posted: 13 Jan 2021, 15:32:26 UTC - in response to Message 4355.  

The program would have ended after reaching 5160960. I run your DLK and got the solution below.
in: JQiBJzfpi4cDA7gjVeqHYS9v66FyyHaywfvhUvgBXnkJa2PbDv7UgMAgKYZupiCsckFX7b8kMdaEFFREt4gbPtRSf2
cf: JHep946hdpmD3PbVe64oR1i2JacXn5EZhBapLW1bdkDY4JdXfnDizzcaKLehQmyCFnBMwusRtF4PEhke4
num_dtrans: 204995269

0 2 C E 7 B 8 6 F 4 D 3 A 9 G 5 1                             
5 1 3 B D G A 8 E C 4 9 0 F 6 2 7                                                                                                   
B 6 2 4 A C F 9 D 5 0 1 E 7 3 G 8                                 
6 A 7 3 5 9 B E C 1 2 D G 4 F 8 0                             
2 7 9 G 4 6 0 A B 3 C F 5 E 8 1 D       
4 3 G 0 F 5 7 1 A B E 6 D 8 2 C 9       
A 5 4 F 1 E 6 G 9 D 7 C 8 3 B 0 2                    
C 9 6 5 E 2 D 7 0 G B 8 4 A 1 3 F                                                                                                   
D C B A 9 0 1 2 8 E F G 7 6 5 4 3       
1 D F 6 C 8 5 0 G 9 3 E 2 B A 7 4                           
E G 5 D 8 4 9 3 7 0 A 2 F 1 C B 6       
7 4 E 8 3 A 2 5 6 F 9 B 1 G 0 D C                                 
3 F 8 2 B 1 4 D 5 6 G A C 0 7 9 E                             
G 8 1 C 0 3 E F 4 2 5 7 B D 9 6 A 
8 0 D 9 2 F G B 3 7 1 4 6 C E A 5 
9 E A 1 G 7 C 4 2 8 6 0 3 5 D F B 
F B 0 7 6 D 3 C 1 A 8 5 9 2 4 E G 

Additionally I upload my cache files for the program: https://boinc.tbrada.eu/download/ndlk-dat-2101a.zip
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Message 4357 - Posted: 14 Jan 2021, 9:49:00 UTC - in response to Message 4356.  

The program would have ended after reaching 5160960. I run your DLK and got the solution below.

Thank you.
A beautiful square :)



You did not answer the question
How much RAM is required for the program?

If I understand correctly, cache files will help quickly canonicalize DLS (?)
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Message 4358 - Posted: 14 Jan 2021, 13:19:32 UTC - in response to Message 4357.  

You did not answer the question
How much RAM is required for the program?

If I understand correctly, cache files will help quickly canonicalize DLS (?)

Cache file helps to quickly canonicalize DLS. If not present, the program generates the missing file. But for orders 16+ is is very slow. So you can extract kanonb_cache_17.dat from a zip file, and try it out, it will solve in few seconds. It uses less than 400 MB of RAM.
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Message 4359 - Posted: 14 Jan 2021, 15:25:50 UTC - in response to Message 4358.  

Cache file helps to quickly canonicalize DLS. If not present, the program generates the missing file. But for orders 16+ is is very slow. So you can extract kanonb_cache_17.dat from a zip file, and try it out, it will solve in few seconds. It uses less than 400 MB of RAM.

Yes it works
C:\Users\Дом\Downloads\ndlk-dat-2101a>kanonb.exe  0<a.txt 1>out2.txt
# KanonizerV: read kanonb_cache_17.dat: 17 36 5160960 175472640


Original DLS of order 17
JbFtpH5nbWMPCcFUbUPgD1pDEjeLiHPnzASPdWaroX3fkX6pDvQE3Ue7oAWi8kpwNwmGVYhcEt21kdSe51Qrzq5

CF
JZavs7uAV4CURwBtFMoJPcLBijAc1hE3FotZHERYCMPtfJ1PMTFPDqmULKieXppg11yArjb6WbfYS3zYz2
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Message 4360 - Posted: 14 Jan 2021, 15:47:42 UTC

Tomáš Brada
I canonized 14 DLS from MOLS system of order 17

JHep946hdpmD3PbVe64oR1i2JacXn5EZhBapLW1bdkDY4JdXfnDizzcaKLehQmyCFnBMwusRtF4PEhke4
JZavs7uAV4CURwBtFMoJPcLBijAc1hE3FotZHERYCMPtfJ1PMTFPDqmULKieXppg11yArjb6WbfYS3zYz2
JVUesFePXAN1rG8UWDrmYhv7h3UUqSqVraVEBWcofey2tPsEJpepgvNg8vu32qL8dazxSPiVu1Ttj29tL
J39x3jjhxnHszoQpfcDrAzx27ZgCpvYW9JZU9nm4EozssVGc6mUYnCWuV7HzfwhWK2hEtntURM2pDGa9ins
JZavs7uAV4CURwBtFMoJPcLBijAc1hE3FotZHERYCMPtfJ1PMTFPDqmULKieXppg11yArjb6WbfYS3zYz2
J39x3jjhxnHszoQpfcDrAzx27ZgCpvYW9JZU9nm4EozssVGc6mUYnCWuV7HzfwhWK2hEtntURM2pDGa9ins
JHep946hdpmD3PbVe64oR1i2JacXn5EZhBapLW1bdkDY4JdXfnDizzcaKLehQmyCFnBMwusRtF4PEhke4
JHep946hdpmD3PbVe64oR1i2JacXn5EZhBapLW1bdkDY4JdXfnDizzcaKLehQmyCFnBMwusRtF4PEhke4
J39x3jjhxnHszoQpfcDrAzx27ZgCpvYW9JZU9nm4EozssVGc6mUYnCWuV7HzfwhWK2hEtntURM2pDGa9ins
JZavs7uAV4CURwBtFMoJPcLBijAc1hE3FotZHERYCMPtfJ1PMTFPDqmULKieXppg11yArjb6WbfYS3zYz2
J39x3jjhxnHszoQpfcDrAzx27ZgCpvYW9JZU9nm4EozssVGc6mUYnCWuV7HzfwhWK2hEtntURM2pDGa9ins
JVUesFePXAN1rG8UWDrmYhv7h3UUqSqVraVEBWcofey2tPsEJpepgvNg8vu32qL8dazxSPiVu1Ttj29tL
JZavs7uAV4CURwBtFMoJPcLBijAc1hE3FotZHERYCMPtfJ1PMTFPDqmULKieXppg11yArjb6WbfYS3zYz2
JHep946hdpmD3PbVe64oR1i2JacXn5EZhBapLW1bdkDY4JdXfnDizzcaKLehQmyCFnBMwusRtF4PEhke4

Can you make the program remove duplicate CFs?
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Message 4361 - Posted: 14 Jan 2021, 21:22:31 UTC - in response to Message 4360.  

Can you make the program remove duplicate CFs?

The program is called sort.
sort -u <input.txt

JHep946hdpmD3PbVe64oR1i2JacXn5EZhBapLW1bdkDY4JdXfnDizzcaKLehQmyCFnBMwusRtF4PEhke4
JVUesFePXAN1rG8UWDrmYhv7h3UUqSqVraVEBWcofey2tPsEJpepgvNg8vu32qL8dazxSPiVu1Ttj29tL
JZavs7uAV4CURwBtFMoJPcLBijAc1hE3FotZHERYCMPtfJ1PMTFPDqmULKieXppg11yArjb6WbfYS3zYz2
J39x3jjhxnHszoQpfcDrAzx27ZgCpvYW9JZU9nm4EozssVGc6mUYnCWuV7HzfwhWK2hEtntURM2pDGa9ins
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Message 4362 - Posted: 15 Jan 2021, 3:08:33 UTC - in response to Message 4361.  
Last modified: 15 Jan 2021, 3:10:35 UTC

The program is called sort.
sort -u <input.txt

JHep946hdpmD3PbVe64oR1i2JacXn5EZhBapLW1bdkDY4JdXfnDizzcaKLehQmyCFnBMwusRtF4PEhke4
JVUesFePXAN1rG8UWDrmYhv7h3UUqSqVraVEBWcofey2tPsEJpepgvNg8vu32qL8dazxSPiVu1Ttj29tL
JZavs7uAV4CURwBtFMoJPcLBijAc1hE3FotZHERYCMPtfJ1PMTFPDqmULKieXppg11yArjb6WbfYS3zYz2
J39x3jjhxnHszoQpfcDrAzx27ZgCpvYW9JZU9nm4EozssVGc6mUYnCWuV7HzfwhWK2hEtntURM2pDGa9ins

Thanks.

JHep946hdpmD3PbVe64oR1i2JacXn5EZhBapLW1bdkDY4JdXfnDizzcaKLehQmyCFnBMwusRtF4PEhke4
0 2 12 14 7 11 8 6 15 4 13 3 10 9 16 5 1
5 1 3 11 13 16 10 8 14 12 4 9 0 15 6 2 7
11 6 2 4 10 12 15 9 13 5 0 1 14 7 3 16 8
6 10 7 3 5 9 11 14 12 1 2 13 16 4 15 8 0
2 7 9 16 4 6 0 10 11 3 12 15 5 14 8 1 13
4 3 16 0 15 5 7 1 10 11 14 6 13 8 2 12 9
10 5 4 15 1 14 6 16 9 13 7 12 8 3 11 0 2
12 9 6 5 14 2 13 7 0 16 11 8 4 10 1 3 15
13 12 11 10 9 0 1 2 8 14 15 16 7 6 5 4 3
1 13 15 6 12 8 5 0 16 9 3 14 2 11 10 7 4
14 16 5 13 8 4 9 3 7 0 10 2 15 1 12 11 6
7 4 14 8 3 10 2 5 6 15 9 11 1 16 0 13 12
3 15 8 2 11 1 4 13 5 6 16 10 12 0 7 9 14
16 8 1 12 0 3 14 15 4 2 5 7 11 13 9 6 10
8 0 13 9 2 15 16 11 3 7 1 4 6 12 14 10 5
9 14 10 1 16 7 12 4 2 8 6 0 3 5 13 15 11
15 11 0 7 6 13 3 12 1 10 8 5 9 2 4 14 16

JZavs7uAV4CURwBtFMoJPcLBijAc1hE3FotZHERYCMPtfJ1PMTFPDqmULKieXppg11yArjb6WbfYS3zYz2
0 3 4 10 5 11 8 6 2 13 15 14 9 7 16 12 1
12 1 16 5 0 6 10 8 3 14 13 4 7 15 11 2 9
14 11 2 15 13 1 7 9 16 0 5 12 8 10 3 4 6
9 13 10 3 1 0 2 12 15 6 11 8 4 16 5 7 14
16 8 1 14 4 7 13 15 6 2 12 3 5 0 9 11 10
1 15 8 2 3 5 12 0 7 11 16 6 14 4 10 9 13
5 2 14 8 10 16 6 11 12 15 7 13 1 9 4 0 3
4 6 3 13 14 9 15 7 11 12 0 2 10 5 1 16 8
11 10 9 4 16 15 14 13 8 3 2 1 0 12 7 6 5
8 0 15 11 6 14 16 4 5 9 1 7 2 3 13 10 12
13 16 12 7 15 3 9 1 4 5 10 0 6 8 2 14 11
3 7 6 12 2 10 0 5 9 16 4 11 13 14 8 1 15
6 5 7 16 11 13 4 14 10 1 3 9 12 2 15 8 0
2 9 11 0 12 8 5 10 1 4 14 16 15 13 6 3 7
10 12 13 6 8 4 11 16 0 7 9 15 3 1 14 5 2
7 14 5 1 9 12 3 2 13 8 6 10 16 11 0 15 4
15 4 0 9 7 2 1 3 14 10 8 5 11 6 12 13 16

JVUesFePXAN1rG8UWDrmYhv7h3UUqSqVraVEBWcofey2tPsEJpepgvNg8vu32qL8dazxSPiVu1Ttj29tL
0 2 4 14 6 3 11 12 10 13 16 5 15 7 9 8 1
8 1 10 5 12 7 2 4 9 15 11 0 14 6 13 16 3
10 14 2 12 16 0 15 11 1 7 13 4 6 8 3 9 5
6 9 8 3 5 15 10 0 16 2 4 7 1 14 11 12 13
16 3 9 0 4 6 1 10 13 14 2 8 5 12 15 11 7
4 15 11 6 8 5 13 16 2 3 9 12 7 0 1 10 14
1 12 14 11 13 10 6 15 5 8 7 2 16 9 0 3 4
14 16 6 13 3 2 8 7 12 10 0 15 9 1 4 5 11
7 10 0 1 14 13 4 5 8 11 12 3 2 15 16 6 9
5 11 12 15 7 1 16 6 4 9 8 14 13 3 10 0 2
12 13 16 7 0 14 9 8 11 1 10 6 3 5 2 4 15
2 6 15 16 9 4 7 13 14 0 3 11 8 10 5 1 12
9 5 1 4 11 8 14 2 3 6 15 10 12 16 7 13 0
3 4 5 2 15 9 12 14 0 16 6 1 11 13 8 7 10
11 7 13 8 10 12 3 9 15 5 1 16 0 4 14 2 6
13 0 3 10 2 16 5 1 7 12 14 9 4 11 6 15 8
15 8 7 9 1 11 0 3 6 4 5 13 10 2 12 14 16

J39x3jjhxnHszoQpfcDrAzx27ZgCpvYW9JZU9nm4EozssVGc6mUYnCWuV7HzfwhWK2hEtntURM2pDGa9ins
0 7 12 2 13 14 16 8 11 3 9 5 15 10 6 4 1
4 1 16 11 3 12 13 15 10 0 6 14 9 7 5 2 8
1 5 2 15 10 4 11 12 9 7 13 0 16 6 3 8 14
16 2 6 3 14 9 5 10 0 12 1 15 7 4 8 13 11
11 15 3 7 4 13 0 6 1 2 14 16 5 8 12 10 9
3 10 14 4 16 5 12 1 2 13 15 6 8 11 9 0 7
12 4 9 13 5 15 6 11 3 14 7 8 10 0 1 16 2
13 11 5 0 12 6 14 7 4 16 8 9 1 2 15 3 10
10 9 0 1 2 3 4 5 8 11 12 13 14 15 16 7 6
6 13 1 14 15 7 8 0 12 9 2 10 4 16 11 5 3
14 0 15 16 6 8 9 2 13 5 10 1 11 3 7 12 4
9 16 7 5 8 10 1 3 14 15 4 11 0 12 2 6 13
7 6 4 8 11 0 2 14 15 10 16 3 12 9 13 1 5
5 3 8 12 9 1 15 4 16 6 11 7 2 13 10 14 0
2 8 13 10 0 16 3 9 7 4 5 12 6 1 14 11 15
8 14 11 9 7 2 10 16 6 1 3 4 13 5 0 15 12
15 12 10 6 1 11 7 13 5 8 0 2 3 14 4 9 16

Utility Harry White gived

Order? 17

Enter the name of the squares file: inp
.. writing type information to file inpTypeDetail_8.txt

Counts
------
         4 diagonal Latin
         4 associative
         4 natural \diagonal
         4 self-orthogonal

We have three rules for SN DLS of order 17

1 2 3 4 5 6 7 16 8 0 9 10 11 12 13 14 15
1 2 3 16 5 6 7 12 8 4 9 10 11 0 13 14 15
1 16 3 14 5 12 7 10 8 6 9 4 11 2 13 0 15
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Message 4363 - Posted: 15 Jan 2021, 4:27:47 UTC - in response to Message 4361.  

The program is called sort.
sort -u <input.txt

Where can I download this program?

Could you include program here?
https://boinc.tbrada.eu/download/ndlk-2101a.zip
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Message 4365 - Posted: 15 Jan 2021, 9:29:48 UTC - in response to Message 4363.  

https://github.com/bmatzelle/gow/releases
The sort program there is called gsort.exe (windows has program of same name). You can install the whole package (10MB) or copy just the gsort exe with two dlls.
Includes few useful programs, like cut, diff, grep.
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Message 4366 - Posted: 15 Jan 2021, 9:42:55 UTC - in response to Message 4362.  

We have three rules for SN DLS of order 17
1 2 3 4 5 6 7 16 8 0 9 10 11 12 13 14 15
1 2 3 16 5 6 7 12 8 4 9 10 11 0 13 14 15
1 16 3 14 5 12 7 10 8 6 9 4 11 2 13 0 15

More rules:
1 0 3 2 5 4 7 6 8 10 9 12 11 14 13 16 15
1 0 3 2 5 4 7 6 8 10 9 12 11 14 15 16 13
1 0 3 2 5 4 7 6 8 10 9 12 11 15 16 13 14
1 0 3 2 5 4 7 6 8 10 9 12 11 15 16 14 13
1 0 3 2 5 4 7 6 8 10 9 12 13 11 15 16 14
1 0 3 2 5 4 7 6 8 10 9 12 13 14 15 16 11
1 0 3 2 5 4 7 6 8 10 9 12 13 15 11 16 14
1 0 3 2 5 4 7 6 8 10 9 12 13 15 16 11 14
1 0 3 2 5 4 7 6 8 10 9 12 13 15 16 14 11
1 0 3 2 5 4 7 6 8 10 9 13 14 15 16 11 12
1 0 3 2 5 4 7 6 8 10 9 13 14 15 16 12 11
1 0 3 2 5 4 7 6 8 10 9 13 15 11 16 12 14
1 0 3 2 5 4 7 6 8 10 9 13 15 11 16 14 12
1 0 3 2 5 4 7 6 8 10 9 13 15 12 16 14 11
1 0 3 2 5 4 7 6 8 10 9 13 15 16 12 14 11
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Message 4367 - Posted: 15 Jan 2021, 12:40:02 UTC - in response to Message 4365.  

https://github.com/bmatzelle/gow/releases
The sort program there is called gsort.exe (windows has program of same name). You can install the whole package (10MB) or copy just the gsort exe with two dlls.
Includes few useful programs, like cut, diff, grep.

Thank you.

I think the CF sorting program should be in your software package.
Moreover, it is better to do the sorting during the canonicalization process. There is no point in displaying duplicates.
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Message 4368 - Posted: 15 Jan 2021, 16:22:12 UTC - in response to Message 4367.  

I think the CF sorting program should be in your software package.
Moreover, it is better to do the sorting during the canonicalization process. There is no point in displaying duplicates.

Okay, I will add a -u switch to my program, to output only unique and sorted results.
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Message 4369 - Posted: 18 Jan 2021, 10:10:16 UTC - in response to Message 4354.  

98844 ODLK of order 12:
https://boinc.tbrada.eu/download/DaUay.1994.1-400.txt.gz
From DaUayP5fWmYHjcNNj3JnBN6rQXiMjg6 path (1994,1) to (1994,400). There are estimates 403 million other mates.
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Message 4370 - Posted: 18 Jan 2021, 14:13:26 UTC - in response to Message 4369.  

98844 ODLK of order 12:
https://boinc.tbrada.eu/download/DaUay.1994.1-400.txt.gz
From DaUayP5fWmYHjcNNj3JnBN6rQXiMjg6 path (1994,1) to (1994,400). There are estimates 403 million other mates.

Do you find ODLS piece by piece?
Fine!
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Message 4371 - Posted: 18 Jan 2021, 14:19:14 UTC

Can't convert e format to d format.

C:\Users\Дом\Downloads\Tomas>dlkconv e <a.txt d >out.txt
Exception: Square Decode error


Only works like this
dlkconv e DLp2o7FyYbsKDAPSQAxx9pXPTZTRwfA d >out.txt
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Message 4372 - Posted: 18 Jan 2021, 19:01:15 UTC - in response to Message 4371.  

Use
dlkconv es <a.txt ds >out.txt

dlkconv ef a.txt df out.txt
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Message 4373 - Posted: 18 Jan 2021, 19:13:17 UTC

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Message 4374 - Posted: 20 Jan 2021, 4:41:38 UTC
Last modified: 20 Jan 2021, 4:42:12 UTC

Tomáš Brada
Maybe you changed the program and needs to download it again?
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