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PADLS TOTAL rule 51 experiment results

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)

4aaDeGad55oibfG3R1RrfDqfd
HnfCEigSPPx2j1wSk7j4eHbzu
WRqTwJBMwRSrxCwU8HuABxmVd
XMdqZKcXKLmHNmAVVRU7kEHhu
ZzXhNvGzUL8TAnCnw6wE3qCnU

Grand congratulations!

Many thanks to all the project participants!
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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



More illustrations ...
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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.

The illustrations



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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

4aaDeGad55oibfG3R1RrfDqfd
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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Message 3678 - Posted: 19 Oct 2019, 3:02:01 UTC
Last modified: 19 Oct 2019, 5:46:49 UTC

Found a new group of three pairs of ODLS!
GW3J4vs2MGTv8dnwZ2nPNXPhZ


Now there are 8 rare groups of ODLS pairs

4aaDeGad55oibfG3R1RrfDqfd
FP6dut3MCPykGR34bHBS6XfRa
GW3J4vs2MGTv8dnwZ2nPNXPhZ
HnfCEigSPPx2j1wSk7j4eHbzu
WRqTwJBMwRSrxCwU8HuABxmVd
XMdqZKcXKLmHNmAVVRU7kEHhu
XtFLAxb9BJx4HdsCdLtvb54Y5
ZzXhNvGzUL8TAnCnw6wE3qCnU

In total, over 845,000 CFs ODLS were found in the experiment.

Illustration
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Message 3723 - Posted: 24 Oct 2019, 6:18:58 UTC

Found a new group of four pairs of ODLS
Ce4dfqkvvMnRgUPyPQ6A1mgsH

Now there are 9 rare groups of ODLS pairs

4aaDeGad55oibfG3R1RrfDqfd
Ce4dfqkvvMnRgUPyPQ6A1mgsH
FP6dut3MCPykGR34bHBS6XfRa
GW3J4vs2MGTv8dnwZ2nPNXPhZ
HnfCEigSPPx2j1wSk7j4eHbzu
WRqTwJBMwRSrxCwU8HuABxmVd
XMdqZKcXKLmHNmAVVRU7kEHhu
XtFLAxb9BJx4HdsCdLtvb54Y5
ZzXhNvGzUL8TAnCnw6wE3qCnU

In total, over 911,000 CFs ODLS were found in the experiment.
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Message 3748 - Posted: 3 Nov 2019, 9:08:15 UTC
Last modified: 3 Nov 2019, 14:14:47 UTC

In the PADLS TOTAL rule 51 experiment, more than a million (1,027,557) unique CFs ODLS are received!

So that the results do not disappear, I posted them here
https://cloud.mail.ru/public/3ajb/3Y8P42cxe

Tomáš Brada
please create a new file for current results.

PS. CFs ODLS format in accordance with the program of Belyshev namer.exe.
To decode, you must use the program denamer.exe.

Added
Link fixed.
First I copied the link from another file.
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Message 3916 - Posted: 17 Jan 2020, 6:50:45 UTC
Last modified: 17 Jan 2020, 6:54:56 UTC

Found a new group of three pairs of ODLS!
VGLoaHnM9GdUUt66U4AmP6fDR

Now there are 10 rare groups of ODLS pairs

4aaDeGad55oibfG3R1RrfDqfd
Ce4dfqkvvMnRgUPyPQ6A1mgsH
FP6dut3MCPykGR34bHBS6XfRa
GW3J4vs2MGTv8dnwZ2nPNXPhZ
HnfCEigSPPx2j1wSk7j4eHbzu
WRqTwJBMwRSrxCwU8HuABxmVd
XMdqZKcXKLmHNmAVVRU7kEHhu
XtFLAxb9BJx4HdsCdLtvb54Y5
ZzXhNvGzUL8TAnCnw6wE3qCnU
VGLoaHnM9GdUUt66U4AmP6fDR

The first batch of solutions contains 1,027,557 CF ODLS.
The second batch of solutions contains 202,759 CF ODLS.
I remind you: you can download the first batch of solutions from here
https://cloud.mail.ru/public/3ajb/3Y8P42cxe
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Message 3919 - Posted: 18 Jan 2020, 1:53:12 UTC

Found a new group of three pairs of ODLS!
Lktb45W66RkPNkLT9L7CfzN3u

Now there are 11 rare groups of ODLS pairs

4aaDeGad55oibfG3R1RrfDqfd
Ce4dfqkvvMnRgUPyPQ6A1mgsH
FP6dut3MCPykGR34bHBS6XfRa
GW3J4vs2MGTv8dnwZ2nPNXPhZ
HnfCEigSPPx2j1wSk7j4eHbzu
WRqTwJBMwRSrxCwU8HuABxmVd
XMdqZKcXKLmHNmAVVRU7kEHhu
XtFLAxb9BJx4HdsCdLtvb54Y5
ZzXhNvGzUL8TAnCnw6wE3qCnU
VGLoaHnM9GdUUt66U4AmP6fDR
Lktb45W66RkPNkLT9L7CfzN3u
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Message 3928 - Posted: 21 Jan 2020, 5:16:28 UTC
Last modified: 21 Jan 2020, 5:16:58 UTC

Found a new group of four pairs of ODLS
E2wvWKp8mPXQ2Yiae5HJVUH8X

Now there are 12 rare groups of ODLS pairs

4aaDeGad55oibfG3R1RrfDqfd
Ce4dfqkvvMnRgUPyPQ6A1mgsH
FP6dut3MCPykGR34bHBS6XfRa
GW3J4vs2MGTv8dnwZ2nPNXPhZ
HnfCEigSPPx2j1wSk7j4eHbzu
WRqTwJBMwRSrxCwU8HuABxmVd
XMdqZKcXKLmHNmAVVRU7kEHhu
XtFLAxb9BJx4HdsCdLtvb54Y5
ZzXhNvGzUL8TAnCnw6wE3qCnU
VGLoaHnM9GdUUt66U4AmP6fDR
Lktb45W66RkPNkLT9L7CfzN3u
E2wvWKp8mPXQ2Yiae5HJVUH8X
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Message 3950 - Posted: 25 Jan 2020, 3:17:09 UTC

Found a new group of four pairs of ODLS
D4EAdiq2yEoUN2HuNPv8jb2yH

Now there are 13 rare groups of ODLS pairs

4aaDeGad55oibfG3R1RrfDqfd
Ce4dfqkvvMnRgUPyPQ6A1mgsH
FP6dut3MCPykGR34bHBS6XfRa
GW3J4vs2MGTv8dnwZ2nPNXPhZ
HnfCEigSPPx2j1wSk7j4eHbzu
WRqTwJBMwRSrxCwU8HuABxmVd
XMdqZKcXKLmHNmAVVRU7kEHhu
XtFLAxb9BJx4HdsCdLtvb54Y5
ZzXhNvGzUL8TAnCnw6wE3qCnU
VGLoaHnM9GdUUt66U4AmP6fDR
Lktb45W66RkPNkLT9L7CfzN3u
E2wvWKp8mPXQ2Yiae5HJVUH8X
D4EAdiq2yEoUN2HuNPv8jb2yH
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Message 4015 - Posted: 14 Feb 2020, 6:20:46 UTC

Found a new group of three pairs of ODLS!
aczjB3iX5JeaNSzfn2GoNjHPS

Now there are 14 rare groups of ODLS pairs

4aaDeGad55oibfG3R1RrfDqfd
Ce4dfqkvvMnRgUPyPQ6A1mgsH
FP6dut3MCPykGR34bHBS6XfRa
GW3J4vs2MGTv8dnwZ2nPNXPhZ
HnfCEigSPPx2j1wSk7j4eHbzu
WRqTwJBMwRSrxCwU8HuABxmVd
XMdqZKcXKLmHNmAVVRU7kEHhu
XtFLAxb9BJx4HdsCdLtvb54Y5
ZzXhNvGzUL8TAnCnw6wE3qCnU
VGLoaHnM9GdUUt66U4AmP6fDR
Lktb45W66RkPNkLT9L7CfzN3u
E2wvWKp8mPXQ2Yiae5HJVUH8X
D4EAdiq2yEoUN2HuNPv8jb2yH
aczjB3iX5JeaNSzfn2GoNjHPS

The second part of the experiment database contains 657926 CFs ODLS.
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Message 4034 - Posted: 6 Mar 2020, 7:46:19 UTC
Last modified: 6 Mar 2020, 8:14:26 UTC

Found a new group of four pairs of ODLS!
B71rWSXEeLUtr18DwDEXX4jPQ

Now there are 15 rare groups of ODLS pairs

4aaDeGad55oibfG3R1RrfDqfd
Ce4dfqkvvMnRgUPyPQ6A1mgsH
FP6dut3MCPykGR34bHBS6XfRa
GW3J4vs2MGTv8dnwZ2nPNXPhZ
HnfCEigSPPx2j1wSk7j4eHbzu
WRqTwJBMwRSrxCwU8HuABxmVd
XMdqZKcXKLmHNmAVVRU7kEHhu
XtFLAxb9BJx4HdsCdLtvb54Y5
ZzXhNvGzUL8TAnCnw6wE3qCnU
VGLoaHnM9GdUUt66U4AmP6fDR
Lktb45W66RkPNkLT9L7CfzN3u
E2wvWKp8mPXQ2Yiae5HJVUH8X
D4EAdiq2yEoUN2HuNPv8jb2yH
aczjB3iX5JeaNSzfn2GoNjHPS
B71rWSXEeLUtr18DwDEXX4jPQ

The first part of the results of the PADLS TOTAL rule 51 experiment (1,027,557 CFs ODLS) is published here
https://cloud.mail.ru/public/3ajb/3Y8P42cxe

The second part of the results of the PADLS TOTAL rule 51 experiment (717,728 CFs ODLS) is published here
https://cloud.mail.ru/public/5gJK/58nEGzmF5

I will not make up the third part of the database.
I hope that Tomáš Brada will do the automatic processing of the results as we agreed.
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Message 4038 - Posted: 6 Mar 2020, 14:09:15 UTC

The illustration

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