PADLS TOTAL rule 51 experiment results

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Natalia Makarova
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Message 3599 - Posted: 16 Sep 2019, 19:15:29 UTC
Last modified: 16 Sep 2019, 19:15:56 UTC

Over three months, more than 700,000 unique CFs ODLS were found in the project, including 5 rare groups of ODLS pairs (three and four)

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XMdqZKcXKLmHNmAVVRU7kEHhu
ZzXhNvGzUL8TAnCnw6wE3qCnU

Grand congratulations!

Many thanks to all the project participants!
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Natalia Makarova
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Message 3600 - Posted: 16 Sep 2019, 19:26:56 UTC
Last modified: 18 Sep 2019, 11:16:31 UTC

For example, a group of four pairs of ODLS

[DLK(4)] - XMdqZKcXKLmHNmAVVRU7kEHhu
0 6 7 9 8 4 5 2 3 1
9 1 6 4 2 8 3 5 0 7
4 0 2 1 5 9 8 3 7 6
1 7 8 3 6 0 4 9 2 5
3 9 1 7 4 6 2 8 5 0
6 3 0 2 7 5 9 1 4 8
5 2 3 8 1 7 6 0 9 4
8 4 9 5 3 1 0 7 6 2
7 5 4 0 9 2 1 6 8 3
2 8 5 6 0 3 7 4 1 9
[mate#1]
6 2 4 5 1 7 0 3 8 9
0 5 8 9 6 3 4 1 2 7
4 8 1 0 7 9 2 5 6 3
2 9 0 3 5 4 1 8 7 6
7 3 6 2 8 0 9 4 5 1
9 1 5 4 3 2 6 7 0 8
3 0 2 6 4 8 7 9 1 5
5 6 7 8 9 1 3 0 4 2
1 4 3 7 2 5 8 6 9 0
8 7 9 1 0 6 5 2 3 4
[mate#2]
6 2 4 5 1 7 0 3 8 9
0 5 8 9 6 3 4 1 2 7
4 9 1 0 7 8 2 5 6 3
2 8 0 3 5 4 1 9 7 6
7 3 6 2 8 0 9 4 5 1
9 1 5 4 3 2 6 7 0 8
3 0 2 6 4 9 7 8 1 5
5 6 7 8 9 1 3 0 4 2
1 4 3 7 2 5 8 6 9 0
8 7 9 1 0 6 5 2 3 4
[mate#3]
6 2 4 5 1 7 0 3 8 9
0 5 8 9 7 3 4 1 2 6
4 8 1 0 6 9 2 5 7 3
2 9 0 3 5 4 1 8 6 7
7 3 6 2 8 0 9 4 5 1
9 1 5 4 3 2 6 7 0 8
3 0 2 6 4 8 7 9 1 5
5 6 7 8 9 1 3 0 4 2
1 4 3 7 2 5 8 6 9 0
8 7 9 1 0 6 5 2 3 4
[mate#4]
6 2 4 5 1 7 0 3 8 9
0 5 8 9 7 3 4 1 2 6
4 9 1 0 6 8 2 5 7 3
2 8 0 3 5 4 1 9 6 7
7 3 6 2 8 0 9 4 5 1
9 1 5 4 3 2 6 7 0 8
3 0 2 6 4 9 7 8 1 5
5 6 7 8 9 1 3 0 4 2
1 4 3 7 2 5 8 6 9 0
8 7 9 1 0 6 5 2 3 4

(orthogonal squares obtained by Belyshev program ortogon_u)

The illustration



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Natalia Makarova
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Message 3601 - Posted: 16 Sep 2019, 19:49:46 UTC

Tomáš Brada wrote

Indeed, postprocessing is not working (not implemented yet). But the automated export works.
Moreover, I would like to bring to attention the full result database export here:
https://boinc.tbrada.eu/download/tot_odlk_dump.sql.gz.
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Message 3605 - Posted: 17 Sep 2019, 2:56:11 UTC
Last modified: 18 Sep 2019, 11:15:08 UTC

There is a post-processing of the results.
I have developed several post-processing algorithms.
See, for example, the subject
https://boinc.progger.info/odlk/forum_thread.php?id=129

Applying my algorithms to the results of the PADLS TOTAL rule 51 experiment of this project, I found 1,445 unique CFs ODLS.
You can download these solutions here
https://cloud.mail.ru/public/4bpB/5LwUKqDKh

The essence of post-processing: take the well-known ODLS, convert it (permutation of the elements) and get a new ODLS.
This is a great algorithm!
With a large database (about 15 million CFs ODLS), you can get many new solutions.

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Message 3622 - Posted: 23 Sep 2019, 6:01:19 UTC

Found a new group of three pairs of ODLS!

0 9 6 7 5 3 8 4 2 1
7 1 5 8 3 4 2 9 0 6
5 4 2 9 0 6 1 3 7 8
6 8 7 3 2 1 4 0 9 5
1 3 0 6 4 7 9 8 5 2
9 0 3 2 8 5 7 6 1 4
4 2 8 5 7 9 6 1 3 0
8 5 9 1 6 2 0 7 4 3
3 6 1 4 9 0 5 2 8 7
2 7 4 0 1 8 3 5 6 9

Now there are 6 rare groups of ODLS pairs

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FP6dut3MCPykGR34bHBS6XfRa
HnfCEigSPPx2j1wSk7j4eHbzu
WRqTwJBMwRSrxCwU8HuABxmVd
XMdqZKcXKLmHNmAVVRU7kEHhu
ZzXhNvGzUL8TAnCnw6wE3qCnU
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Message 3632 - Posted: 30 Sep 2019, 6:59:13 UTC
Last modified: 30 Sep 2019, 9:02:52 UTC

Found a new group of three pairs of ODLS!

XtFLAxb9BJx4HdsCdLtvb54Y5

Now there are 7 rare groups of ODLS pairs

4aaDeGad55oibfG3R1RrfDqfd
FP6dut3MCPykGR34bHBS6XfRa
HnfCEigSPPx2j1wSk7j4eHbzu
WRqTwJBMwRSrxCwU8HuABxmVd
XMdqZKcXKLmHNmAVVRU7kEHhu
XtFLAxb9BJx4HdsCdLtvb54Y5
ZzXhNvGzUL8TAnCnw6wE3qCnU

Fine!

Illustration
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