Three new rulers have been added to the Application odlk3@home: 15, 38, 51.
These rulers are interesting because in DLS both diagonals are associative.
We hope that these rulers have interesting solutions.

This interesting solution in the ruler #15 I found in a manual project

 0 1 2 3 4 5 6 7 8 9
 9 7 0 2 3 8 5 4 1 6
 8 0 5 1 7 4 9 6 3 2
 1 2 9 4 5 6 3 8 7 0
 5 3 1 6 8 2 4 9 0 7
 6 8 3 7 0 9 1 2 5 4
 7 9 6 8 1 0 2 3 4 5
 2 4 7 5 6 3 0 1 9 8
 3 5 4 9 2 7 8 0 6 1
 4 6 8 0 9 1 7 5 2 3
sq1

 0 1 2 3 4 5 6 7 8 9
 9 7 0 8 3 2 5 4 1 6
 8 0 5 1 7 4 9 6 3 2
 1 2 9 4 5 6 3 8 7 0
 5 3 1 6 2 8 4 9 0 7
 6 8 3 7 0 9 1 2 5 4
 7 9 6 2 1 0 8 3 4 5
 2 4 7 5 6 3 0 1 9 8
 3 5 4 9 8 7 2 0 6 1
 4 6 8 0 9 1 7 5 2 3
sq2

 0 1 2 3 4 5 6 7 8 9
 9 7 4 2 3 8 5 0 1 6
 8 9 5 1 7 3 4 6 0 2
 1 2 9 4 5 6 3 8 7 0
 5 4 1 6 8 2 0 9 3 7
 6 8 3 7 0 9 1 2 5 4
 7 0 6 8 1 4 2 3 9 5
 2 3 7 5 6 0 9 1 4 8
 3 5 0 9 2 7 8 4 6 1
 4 6 8 0 9 1 7 5 2 3
sq3

 0 1 2 3 4 5 6 7 8 9
 9 7 4 8 3 2 5 0 1 6
 8 9 5 1 7 3 4 6 0 2
 1 2 9 4 5 6 3 8 7 0
 5 4 1 6 2 8 0 9 3 7
 6 8 3 7 0 9 1 2 5 4
 7 0 6 2 1 4 8 3 9 5
 2 3 7 5 6 0 9 1 4 8
 3 5 0 9 8 7 2 4 6 1
 4 6 8 0 9 1 7 5 2 3
sq4

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

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My new article "SOLS and SODLS"
in Russian https://yadi.sk/d/nvdI6TgBrKv72A
in English https://yadi.sk/d/VeY9bx6_q6CcZg