Hi
JPF,
do you conduct a comprehensive search for the 18C puzzles, and if so, what is its real progress level?
No, it isn't comprehensive.
I'll give some details anyway ...
I haven't run the main "search" code, for about a year now.
When I stopped, I was getting ~2.16 million new puzzles per day, with the rate falling disappointingly fast.
It had dropped from ~102000 per hour, to ~90000 per hour, in just 10 days.
At this point the search runs like this:
Each hour ...
- For a few seconds: process the new 18's from the previous hour ... {-1,+1} + a few other tricks.
- For the rest of the time, run {-1,+1} on 19's looking to produce 18's from non-minimal 19's.
- Merge 18's into the master list, looking for new ones to handle in (1)
The falling rate is due to:
- The fraction of 18's produced from 19's that are new, is dropping.
It's at ~10% now, even though ~21% of the 18's are still missing. - The new 18's don't "fan out" in {-1,+1} testing, as much as they used to.
At one point I did do a comprehensive search for 18's where (at least) one band/stack has 8 clues or more.
That took (43 days) x (12 cores), and it produced 323,897,702 ED puzzles.
The last breakdown by (B,S) class, with B/S = # of clues in most populated band/stack (B>=S), was:
- Code: Select all
+-----------+-----------+----------+------+
| S=6 | S=7 | S=8 | S=9 |
+------+-----------+-----------+----------+------+
| B=6 | 59721848 | | | | puzzles : 1527664516
| B=7 | 448837008 | 695207958 | | | grids : 789213426
+------+-----------+-----------+----------+------+
| B=8 | 83546486 | 221554111 | 11057553 | | (this section is complete)
| B=9 | 2502213 | 4821125 | 387001 | 2487 |
| B=10 | 11482 | 14387 | 817 | 23 |
| B=11 | 17 | | | |
+------+-----------+-----------+----------+------+