The New Sudoku Players' Forum

by ab » Wed Apr 26, 2006 6:56 pm

another one down

Code: Select all: ...|.3.|... .9.|...|.5. ..1|7.2|3.. ----------- ..3|...|2.. 6..|...|..9 ..4|...|7.. ----------- ..7|8.4|1.. .2.|...|.3. ...|.5.|... 18-8-1-0-0 18-1-4-0-0 16-10-1-0-0 16-1-6-0-0 1-10-4-0-0 1-8-6-0-0

by **Ocean** » Thu Apr 27, 2006 5:36 am

Here is a minimal 21. We already have the analog pattern for 20 clues though, in one of ab's puzzles.

Code: Select all: [M21. 0-4-2-1-1] *-----------* |...|...|...| |..1|...|6..| |.8.|3.9|.5.| |---+---+---| |..6|.7.|8..| |...|285|...| |..4|.1.|7..| |---+---+---| |.4.|5.2|.3.| |..8|...|4..| |...|...|...| *-----------* 0-6-0-1-1 0-4-2-1-1 8-2-0-1-1 10-0-0-1-1 4-0-2-1-1 6-0-0-1-1

by ab » Thu Apr 27, 2006 5:11 pm

here's a minimal 21 for which we don't have the 20:

Code: Select all: ------------------- | | | | | |7 1 9| | | 6| 5 |8 | ------------------- | 1 | | 2 | | 3 8| 6 |9 1 | | 2 | | 7 | ------------------- | 5| 9 |6 | | |2 4 1| | | | | | ------------------- 17-3-0-0-1 17-0-3-0-1 0-9-3-0-1 0-3-5-0-1 3-9-0-0-1 3-0-5-0-1

by ab » Sat Apr 29, 2006 3:42 pm

I think Nikoli, who make puzzles for the Guardian, must keep half an eye on this forum. The Guardian's latest puzzle is a full symmetry minimal 24:
http://image.guardian.co.uk/sys-files/Guardian/documents/2006/04/19/GdnSudoku305_060429.indd.pdf

by **Ocean** » Sun Apr 30, 2006 3:58 am

Supplementary list of minimal 24s with full symmetry: Nineteen puzzles with different non-isomorphic patterns. All patterns differ from the 32 non-isomorphic patterns in minimal 24s found previously in this thread (gsf's list and a few others) - provided no doublecount or oversight. Which gives us a total of 51 patterns so far, but have not checked systematically elsewhere in the forum.
#
000000000000457000002906400096000120030000080054000790007201900000635000000000000 #0-3-6-0-0
000000000001903200050108040079000360000000000036000780040701050002304600000000000 #0-6-2-0-0
000000000004205700072080310020000040003000800010000070045070190008306500000000000 #0-6-5-0-0
000000000003189700050000060070401050020000040060907030030000010009652800000000000 #0-7-0-2-0
000000000010060070000274000004080300053701260002050900000496000060010050000000000 #0-9-3-1-0
000000000070010090006805300008040500040903020003070100001602700020050010000000000 #0-9-6-1-0
000000000080040050007601800003109600060000080001502700008203500050090060000000000 #0-9-6-2-0
000000000024000590065020140000703000001000300000108000082050910079000260000000000 #0-12-5-2-0
000080000000205000009306700074000850900000002051000470007804300000609000000020000 #1-2-6-0-0
000050000004000100050891020001000800406000507009000600080934010007000300000070000 #1-4-3-0-0
000070000004502900061000780090000060500000008030000020073000650005908400000030000 #1-6-4-0-0
000080000050020040003605900001000300340000076006000400002709500070010080000060000 #1-9-6-0-0
000104000006000200094060570300000009007000100400000003078050940001000800000706000 #2-4-5-0-0
000547000060000050002090700900000003708000902100000004001030200070000080000184000 #3-8-5-0-0
003000200060000070709050406000103000002000800000506000408060509010000020005000100 #4-8-5-2-0
800040003009102600040000010010000090300000001050000060090000030002608100400020008 #17-6-0-0-0
200709003090000010000060000500020009007306400800010006000030000050000070600204008 #18-8-1-1-0
910000054400030008000104000004000500020000090008000300000907000100060005570000023 #24-1-2-0-0
320000096910000038000010000000302000004000300000509000000060000680000024490000015 #24-8-1-2-0
#

Code: Select all: # A sample visual catalog (for those who pick by esthetics): # #0-3-6-0-0 #0-6-2-0-0 #0-6-5-0-0 #0-7-0-2-0 #0-9-3-1-0 *-----------* *-----------* *-----------* *-----------* *-----------* |...|...|...| |...|...|...| |...|...|...| |...|...|...| |...|...|...| |...|457|...| |..1|9.3|2..| |..4|2.5|7..| |..3|189|7..| |.1.|.6.|.7.| |..2|9.6|4..| |.5.|1.8|.4.| |.72|.8.|31.| |.5.|...|.6.| |...|274|...| |---+---+---| |---+---+---| |---+---+---| |---+---+---| |---+---+---| |.96|...|12.| |.79|...|36.| |.2.|...|.4.| |.7.|4.1|.5.| |..4|.8.|3..| |.3.|...|.8.| |...|...|...| |..3|...|8..| |.2.|...|.4.| |.53|7.1|26.| |.54|...|79.| |.36|...|78.| |.1.|...|.7.| |.6.|9.7|.3.| |..2|.5.|9..| |---+---+---| |---+---+---| |---+---+---| |---+---+---| |---+---+---| |..7|2.1|9..| |.4.|7.1|.5.| |.45|.7.|19.| |.3.|...|.1.| |...|496|...| |...|635|...| |..2|3.4|6..| |..8|3.6|5..| |..9|652|8..| |.6.|.1.|.5.| |...|...|...| |...|...|...| |...|...|...| |...|...|...| |...|...|...| *-----------* *-----------* *-----------* *-----------* *-----------* #0-9-6-1-0 #0-9-6-2-0 #0-12-5-2-0 #1-2-6-0-0 #1-4-3-0-0 *-----------* *-----------* *-----------* *-----------* *-----------* |...|...|...| |...|...|...| |...|...|...| |...|.8.|...| |...|.5.|...| |.7.|.1.|.9.| |.8.|.4.|.5.| |.24|...|59.| |...|2.5|...| |..4|...|1..| |..6|8.5|3..| |..7|6.1|8..| |.65|.2.|14.| |..9|3.6|7..| |.5.|891|.2.| |---+---+---| |---+---+---| |---+---+---| |---+---+---| |---+---+---| |..8|.4.|5..| |..3|1.9|6..| |...|7.3|...| |.74|...|85.| |..1|...|8..| |.4.|9.3|.2.| |.6.|...|.8.| |..1|...|3..| |9..|...|..2| |4.6|...|5.7| |..3|.7.|1..| |..1|5.2|7..| |...|1.8|...| |.51|...|47.| |..9|...|6..| |---+---+---| |---+---+---| |---+---+---| |---+---+---| |---+---+---| |..1|6.2|7..| |..8|2.3|5..| |.82|.5.|91.| |..7|8.4|3..| |.8.|934|.1.| |.2.|.5.|.1.| |.5.|.9.|.6.| |.79|...|26.| |...|6.9|...| |..7|...|3..| |...|...|...| |...|...|...| |...|...|...| |...|.2.|...| |...|.7.|...| *-----------* *-----------* *-----------* *-----------* *-----------* #17-6-0-0-0 #18-8-1-1-0 #24-1-2-0-0 #24-8-1-2-0 *-----------* *-----------* *-----------* *-----------* |8..|.4.|..3| |2..|7.9|..3| |91.|...|.54| |32.|...|.96| |..9|1.2|6..| |.9.|...|.1.| |4..|.3.|..8| |91.|...|.38| |.4.|...|.1.| |...|.6.|...| |...|1.4|...| |...|.1.|...| |---+---+---| |---+---+---| |---+---+---| |---+---+---| |.1.|...|.9.| |5..|.2.|..9| |..4|...|5..| |...|3.2|...| |3..|...|..1| |..7|3.6|4..| |.2.|...|.9.| |..4|...|3..| |.5.|...|.6.| |8..|.1.|..6| |..8|...|3..| |...|5.9|...| |---+---+---| |---+---+---| |---+---+---| |---+---+---| |.9.|...|.3.| |...|.3.|...| |...|9.7|...| |...|.6.|...| |..2|6.8|1..| |.5.|...|.7.| |1..|.6.|..5| |68.|...|.24| |4..|.2.|..8| |6..|2.4|..8| |57.|...|.23| |49.|...|.15| *-----------* *-----------* *-----------* *-----------*

by **JPF** » Sun Apr 30, 2006 10:40 pm

Here is a minimal 21 for which we have the 20 (ab) :

Code: Select all: [M21 17-2-4-0-1] 6 . . | . 7 . | . . 9 . . . | 4 . 9 | . . . . . 4 | . . . | 1 . . -------+-------+------- . 6 . | . . . | . 4 . 2 . . | . 8 . | . . 7 . 1 . | . . . | . 5 . -------+-------+------- . . 5 | . . . | 3 . . . . . | 1 . 6 | . . . 9 . . | . 2 . | . . 8 2-8-5-0-1 2-9-4-0-1 16-2-5-0-1 16-9-2-0-1 17-2-4-0-1 17-8-2-0-1

I think we should use this (Ocean's) presentation.

JPF

PS : a small 12 stepper

by ab » Sun Apr 30, 2006 11:13 pm

we do have the 20 for that puzzle!

I found a minimal 20 for that and this one too, which we also have a 20 for:

Code: Select all: ------------------- | | 8 | | | 1 | | 2 | | 4|6 3|7 | ------------------- | 9| |4 | |6 | 5 | 1| | 7| |5 | ------------------- | 6|5 4|3 | | 3 | | 9 | | | 7 | | -------------------

by **JPF** » Sun Apr 30, 2006 11:32 pm

ab wrote:we do have the 20 for that puzzle!

Yes, sorry, I realized that after my post et just before yours.
I have modified my comment.
It's not easy not to make a mistake with all these equivalent puzzles.

It would be nice if you could give the code(s) of your puzzle and use dots to represent the spaces ...

Thanks.

JPF

by **JPF** » Mon May 01, 2006 12:32 am

Here is a minimal 21 for which we have the 20 from ab, again

Code: Select all: [M21 16-9-4-2-1] 6 . . | . . . | . . 3 . 5 . | . 1 . | . 4 . . . 8 | . . . | 9 . . -------+-------+------- . . . | 3 . 6 | . . . . 4 . | . 2 . | . 5 . . . . | 9 . 4 | . . . -------+-------+------- . . 9 | . . . | 3 . . . 1 . | . 7 . | . 2 . 8 . . | . . . | . . 6 4-9-0-2-1 8-0-5-2-1 16-8-5-2-1 16-9-4-2-1 17-4-0-2-1 17-8-4-2-1

JPF

by **JPF** » Mon May 01, 2006 1:06 am

And... a minimal 21 after the 20 from Ocean :

Code: Select all: [M21 0-5-2-0-1] . . . | . . . | . . . . . 1 | . 4 . | 5 . . . 6 . | 1 . 7 | . 2 . -------+-------+------- . . 6 | . . . | 7 . . . 8 . | . 5 . | . 6 . . . 3 | . . . | 4 . . -------+-------+------- . 2 . | 7 . 6 | . 8 . . . 4 | . 9 . | 1 . . . . . | . . . | . . . 0-5-2-0-1 0-6-1-0-1 5-0-2-0-1 6-0-1-0-1 9-2-0-0-1 10-1-0-0-1

JPF

by **JPF** » Mon May 01, 2006 10:59 am

Two more 21 minimal ; we don't have their 20-equivalents yet.

Code: Select all: [M21 1-9-2-0-1] . . . | . 1 . | . . . . 9 . | . 5 . | . 3 . . . . | 4 . 7 | . . . -------+-------+------- . . 8 | . . . | 4 . . 5 6 . | . 4 . | . 1 9 . . 7 | . . . | 8 . . -------+-------+------- . . . | 2 . 8 | . . . . 1 . | . 9 . | . 6 . . . . | . 7 . | . . . 1-2-5-0-1 1-9-2-0-1 2-1-5-0-1 2-9-1-0-1 17-1-2-0-1 17-2-1-0-1 [M21 4-0-2-2-1] . . 1 | . . . | 7 . . . . . | . . . | . . . 8 . . | 6 . 3 | . . 9 -------+-------+------- . . 6 | 7 . 9 | 4 . . . . . | . 3 . | . . . . . 2 | 5 . 8 | 1 . . -------+-------+------- 3 . . | 9 . 5 | . . 7 . . . | . . . | . . . . . 4 | . . . | 2 . . 0-4-2-2-1 0-6-0-2-1 4-0-2-2-1 6-0-0-2-1 8-2-0-2-1 10-0-0-2-1

JPF

by **JPF** » Mon May 01, 2006 7:47 pm

Seven 21 FSM (full symmetry, minimal).
Most of them have already an analog pattern in the actual 20 clues list.

Code: Select all: [M21 0-10-5-0-1] . . . | . . . | . . . . 5 . | 7 . 8 | . 6 . . . 2 | . 3 . | 9 . . -------+-------+------- . 6 . | . . . | . 7 . . . 9 | . 1 . | 5 . . . 7 . | . . . | . 1 . -------+-------+------- . . 3 | . 2 . | 4 . . . 2 . | 6 . 5 | . 8 . . . . | . . . | . . . 0-9-6-0-1 0-10-5-0-1 17-0-6-0-1 17-10-0-0-1 18-0-5-0-1 18-9-0-0-1 [M21 1-8-3-0-1] . . . | . 5 . | . . . . 8 . | . . . | . 2 . . . . | 1 3 4 | . . . -------+-------+------- . . 6 | . . . | 7 . . 2 . 1 | . 9 . | 4 . 3 . . 3 | . . . | 1 . . -------+-------+------- . . . | 6 1 3 | . . . . 7 . | . . . | . 5 . . . . | . 4 . | . . . 1-3-4-0-1 1-8-3-0-1 3-1-4-0-1 3-8-1-0-1 16-1-3-0-1 16-3-1-0-1 [M21 1-6-0-0-1] . . . | . 4 . | . . . . . 7 | 3 . 2 | 4 . . . 8 . | . . . | . 6 . -------+-------+------- . 5 . | . . . | . 7 . 8 . . | . 5 . | . . 6 . 1 . | . . . | . 8 . -------+-------+------- . 2 . | . . . | . 1 . . . 4 | 9 . 7 | 2 . . . . . | . 6 . | . . . 1-4-2-0-1 1-6-0-0-1 4-1-2-0-1 6-1-0-0-1 8-2-1-0-1 10-0-1-0-1 [M21 2-8-4-1-1] . . . | 4 . 3 | . . . . 8 . | . . . | . 6 . . . 3 | . . . | 1 . . -------+-------+------- 7 . . | . 9 . | . . 3 . . . | 8 2 5 | . . . 4 . . | . 7 . | . . 8 -------+-------+------- . . 4 | . . . | 5 . . . 5 . | . . . | . 8 . . . . | 1 . 7 | . . . 2-4-0-1-1 2-8-4-1-1 4-2-0-1-1 8-0-2-1-1 16-2-4-1-1 16-8-2-1-1 [M21 2-8-4-2-1] . . . | 3 . 7 | . . . . 1 . | . . . | . 5 . . . 2 | . . . | 1 . . -------+-------+------- 3 . . | 6 . 5 | . . 7 . . . | . 2 . | . . . 7 . . | 4 . 9 | . . 6 -------+-------+------- . . 3 | . . . | 2 . . . 9 . | . . . | . 4 . . . . | 5 . 6 | . . . 2-4-0-2-1 2-8-4-2-1 4-2-0-2-1 8-0-2-2-1 16-2-4-2-1 16-8-2-2-1 [M21 2-5-0-0-1] . . . | 4 . 9 | . . . . . 5 | . 1 . | 3 . . . 7 . | . . . | . 9 . -------+-------+------- 7 . . | . . . | . . 1 . 4 . | . 6 . | . 7 . 3 . . | . . . | . . 2 -------+-------+------- . 9 . | . . . | . 2 . . . 1 | . 4 . | 5 . . . . . | 3 . 7 | . . . 2-4-1-0-1 2-5-0-0-1 4-2-1-0-1 5-2-0-0-1 8-1-2-0-1 9-0-2-0-1 [M21 5-8-0-2-1] . . 2 | . 9 . | 7 . . . 5 . | . . . | . 8 . 1 . . | . . . | . . 3 -------+-------+------- . . . | 7 . 6 | . . . 5 . . | . 8 . | . . 1 . . . | 5 . 9 | . . . -------+-------+------- 4 . . | . . . | . . 5 . 7 . | . . . | . 4 . . . 9 | . 7 . | 6 . . 4-8-1-2-1 5-8-0-2-1 8-1-4-2-1 9-0-4-2-1 16-4-1-2-1 16-5-0-2-1

JPF

by ab » Mon May 01, 2006 9:11 pm

another 21 for which we don't have a 20. not minimal though:

Code: Select all: ...|...|... .4.|.6.|.9. ...|5.1|... ----------- ..5|9.3|8.. .9.|.4.|.2. ..1|8.7|5.. ----------- ...|7.8|... .6.|.9.|.3. ...|...|... 17-2-0-2-1 17-0-2-2-1 2-9-0-2-1 2-0-5-2-1 0-9-2-2-1 0-2-5-2-1

by **JPF** » Tue May 02, 2006 10:19 pm

Here is a list of all the different patterns of F.S. puzzles with 20 and 21 clues.
I suggest to use the FS code (the lowest number) to name a pattern, adding 0 for 20 clues and 1 for 21 clues.

I will update the list of the posted 20-21 puzzles in this format as soon as possible.

ab wrote:also I have annotated gfroyle's list with puzzles that are impossible ...
Code: Select all
20: 16-11-0-0-0 16-0-7-0-0 19-8-0-0-0 19-0-4-0-0 0-11-4-0-0 0-8-7-0-0 impossible

are you sure that this pattern is impossible ?

Code: Select all: LIST of the F.S. patterns (20 & 21 clues) (x are the non valid patterns) Add -0 or -1 for the full code of the pattern. * for a non minimal solution. Clues |Clues 20 |21 FS Code | X |X 0-0-3-3 0-3-0-3 3-0-0-3 X |X 0-0-6-3 0-10-0-3 18-0-0-3 X |X 0-0-7-1 0-11-0-1 19-0-0-1 X |X 0-0-7-2 0-11-0-2 19-0-0-2 X |X 0-1-2-3 0-2-1-3 1-0-2-3 1-2-0-3 2-0-1-3 2-1-0-3 X |X 0-1-3-1 0-3-1-1 1-0-3-1 1-3-0-1 3-0-1-1 3-1-0-1 X |X 0-1-3-2 0-3-1-2 1-0-3-2 1-3-0-2 3-0-1-2 3-1-0-2 | 0-1-5-3 0-9-1-3 1-0-5-3 1-9-0-3 17-0-1-3 17-1-0-3 | 0-1-6-1 0-10-1-1 1-0-6-1 1-10-0-1 18-0-1-1 18-1-0-1 | 0-1-6-2 0-10-1-2 1-0-6-2 1-10-0-2 18-0-1-2 18-1-0-2 | 0-1-7-0 0-11-1-0 1-0-7-0 1-11-0-0 19-0-1-0 19-1-0-0 X |X 0-2-2-1 2-0-2-1 2-2-0-1 X |X 0-2-2-2 2-0-2-2 2-2-0-2 X |X 0-2-3-0 0-3-2-0 2-0-3-0 2-3-0-0 3-0-2-0 3-2-0-0 | 0-2-4-3 0-8-2-3 2-0-4-3 2-8-0-3 16-0-2-3 16-2-0-3 #34 ab/Ocean|#35 JPF/Ocean 0-2-5-1 0-9-2-1 2-0-5-1 2-9-0-1 17-0-2-1 17-2-0-1 |#30* ab 0-2-5-2 0-9-2-2 2-0-5-2 2-9-0-2 17-0-2-2 17-2-0-2 | 0-2-6-0 0-10-2-0 2-0-6-0 2-10-0-0 18-0-2-0 18-2-0-0 | 0-3-4-1 0-8-3-1 3-0-4-1 3-8-0-1 16-0-3-1 16-3-0-1 | 0-3-4-2 0-8-3-2 3-0-4-2 3-8-0-2 16-0-3-2 16-3-0-2 |#16 ab 0-3-5-0 0-9-3-0 3-0-5-0 3-9-0-0 17-0-3-0 17-3-0-0 | 0-4-1-3 0-5-0-3 4-0-1-3 5-0-0-3 8-1-0-3 9-0-0-3 #06 ab |#15 Ocean 0-4-2-1 0-6-0-1 4-0-2-1 6-0-0-1 8-2-0-1 10-0-0-1 |#22 JPF 0-4-2-2 0-6-0-2 4-0-2-2 6-0-0-2 8-2-0-2 10-0-0-2 | 0-4-3-0 0-7-0-0 4-0-3-0 7-0-0-0 8-3-0-0 11-0-0-0 | 0-4-4-3 0-12-0-3 4-0-4-3 8-8-0-3 20-0-0-3 24-0-0-3 | 0-4-5-1 0-13-0-1 4-0-5-1 8-9-0-1 21-0-0-1 25-0-0-1 | 0-4-5-2 0-13-0-2 4-0-5-2 8-9-0-2 21-0-0-2 25-0-0-2 | 0-4-6-0 0-14-0-0 4-0-6-0 8-10-0-0 22-0-0-0 26-0-0-0 | 0-5-1-1 0-9-5-1 5-0-1-1 9-1-0-1 17-0-5-1 17-9-0-1 | 0-5-1-2 0-9-5-2 5-0-1-2 9-1-0-2 17-0-5-2 17-9-0-2 #01 Ocean |#20 JPF 0-5-2-0 0-6-1-0 5-0-2-0 6-0-1-0 9-2-0-0 10-1-0-0 | 0-5-4-1 0-12-1-1 5-0-4-1 9-8-0-1 20-0-1-1 24-1-0-1 | 0-5-4-2 0-12-1-2 5-0-4-2 9-8-0-2 20-0-1-2 24-1-0-2 X |X 0-5-5-0 0-13-1-0 5-0-5-0 9-9-0-0 21-0-1-0 25-1-0-0 | 0-6-4-0 0-12-2-0 6-0-4-0 10-8-0-0 20-0-2-0 24-2-0-0 | 0-8-5-3 0-9-4-3 16-0-5-3 16-9-0-3 17-0-4-3 17-8-0-3 #12 ab |#32* ab 0-8-6-1 0-10-4-1 16-0-6-1 16-10-0-1 18-0-4-1 18-8-0-1 | 0-8-6-2 0-10-4-2 16-0-6-2 16-10-0-2 18-0-4-2 18-8-0-2 | 0-8-7-0 0-11-4-0 16-0-7-0 16-11-0-0 19-0-4-0 19-8-0-0 #33 Ocean |#23 JPF 0-9-6-0 0-10-5-0 17-0-6-0 17-10-0-0 18-0-5-0 18-9-0-0 | 0-12-4-1 20-0-4-1 24-8-0-1 | 0-12-4-2 20-0-4-2 24-8-0-2 X |X 0-12-5-0 0-13-4-0 20-0-5-0 21-0-4-0 24-9-0-0 25-8-0-0 X |X 1-1-1-3 X |X 1-1-2-1 1-2-1-1 2-1-1-1 X |X 1-1-2-2 1-2-1-2 2-1-1-2 X |X 1-1-3-0 1-3-1-0 3-1-1-0 | 1-1-4-3 1-8-1-3 16-1-1-3 | 1-1-5-1 1-9-1-1 17-1-1-1 | 1-1-5-2 1-9-1-2 17-1-1-2 | 1-1-6-0 1-10-1-0 18-1-1-0 X |X 1-2-2-0 2-1-2-0 2-2-1-0 | 1-2-4-1 1-8-2-1 2-1-4-1 2-8-1-1 16-1-2-1 16-2-1-1 | 1-2-4-2 1-8-2-2 2-1-4-2 2-8-1-2 16-1-2-2 16-2-1-2 |#21 JPF 1-2-5-0 1-9-2-0 2-1-5-0 2-9-1-0 17-1-2-0 17-2-1-0 #13 ab |#24 JPF 1-3-4-0 1-8-3-0 3-1-4-0 3-8-1-0 16-1-3-0 16-3-1-0 | 1-4-0-3 1-8-4-3 4-1-0-3 8-0-1-3 16-1-4-3 16-8-1-3 | 1-4-1-1 1-5-0-1 4-1-1-1 5-1-0-1 8-1-1-1 9-0-1-1 | 1-4-1-2 1-5-0-2 4-1-1-2 5-1-0-2 8-1-1-2 9-0-1-2 #10 ab |#25 JPF 1-4-2-0 1-6-0-0 4-1-2-0 6-1-0-0 8-2-1-0 10-0-1-0 | 1-4-4-1 1-12-0-1 4-1-4-1 8-8-1-1 20-1-0-1 24-0-1-1 #02 ab |#31* ab 1-4-4-2 1-12-0-2 4-1-4-2 8-8-1-2 20-1-0-2 24-0-1-2 X |X 1-4-5-0 1-13-0-0 4-1-5-0 8-9-1-0 21-1-0-0 25-0-1-0 X |X 1-5-1-0 1-9-5-0 5-1-1-0 9-1-1-0 17-1-5-0 17-9-1-0 X |X 1-5-4-0 1-12-1-0 5-1-4-0 9-8-1-0 20-1-1-0 24-1-1-0 | 1-8-5-1 1-9-4-1 16-1-5-1 16-9-1-1 17-1-4-1 17-8-1-1 | 1-8-5-2 1-9-4-2 16-1-5-2 16-9-1-2 17-1-4-2 17-8-1-2 #14 ab |#18 ab 1-8-6-0 1-10-4-0 16-1-6-0 16-10-1-0 18-1-4-0 18-8-1-0 X |X 1-12-4-0 20-1-4-0 24-8-1-0 | 2-2-4-0 2-8-2-0 16-2-2-0 #07 ab |#26 JPF 2-4-0-1 2-8-4-1 4-2-0-1 8-0-2-1 16-2-4-1 16-8-2-1 #09 ab |#27 JPF 2-4-0-2 2-8-4-2 4-2-0-2 8-0-2-2 16-2-4-2 16-8-2-2 #05 ab |#28 JPF 2-4-1-0 2-5-0-0 4-2-1-0 5-2-0-0 8-1-2-0 9-0-2-0 | 2-4-4-0 2-12-0-0 4-2-4-0 8-8-2-0 20-2-0-0 24-0-2-0 #04 ab |#17 JPF 2-8-5-0 2-9-4-0 16-2-5-0 16-9-2-0 17-2-4-0 17-8-2-0 | 3-4-0-0 3-8-4-0 4-3-0-0 8-0-3-0 16-3-4-0 16-8-3-0 | 4-4-0-1 8-4-0-1 12-0-0-1 | 4-4-0-2 8-4-0-2 12-0-0-2 X |X 4-4-1-0 8-5-0-0 13-0-0-0 X |X 4-4-4-0 8-12-0-0 28-0-0-0 X |X 4-5-0-0 5-4-0-0 8-4-1-0 9-4-0-0 12-0-1-0 12-1-0-0 | 4-8-0-3 8-0-4-3 16-4-0-3 16-8-4-3 | 4-8-1-1 5-8-0-1 8-1-4-1 9-0-4-1 16-4-1-1 16-5-0-1 #11 ab |#29 JPF 4-8-1-2 5-8-0-2 8-1-4-2 9-0-4-2 16-4-1-2 16-5-0-2 | 4-8-2-0 6-8-0-0 8-2-4-0 10-0-4-0 16-4-2-0 16-6-0-0 | 4-8-4-1 8-8-4-1 16-4-4-1 16-12-0-1 20-8-0-1 24-0-4-1 | 4-8-4-2 8-8-4-2 16-4-4-2 16-12-0-2 20-8-0-2 24-0-4-2 X |X 4-8-5-0 8-9-4-0 16-4-5-0 16-13-0-0 21-8-0-0 25-0-4-0 | 4-9-0-1 8-0-5-1 16-8-5-1 16-9-4-1 17-4-0-1 17-8-4-1 #03 ab |#19 JPF 4-9-0-2 8-0-5-2 16-8-5-2 16-9-4-2 17-4-0-2 17-8-4-2 X |X 4-9-1-0 5-9-0-0 8-1-5-0 9-0-5-0 17-4-1-0 17-5-0-0 X |X 4-9-4-0 8-8-5-0 17-4-4-0 17-12-0-0 20-9-0-0 24-0-5-0 | 4-10-0-0 8-0-6-0 16-8-6-0 16-10-4-0 18-4-0-0 18-8-4-0 X |X 4-12-0-0 8-4-4-0 12-0-4-0 12-8-0-0 20-4-0-0 24-4-0-0 X |X 5-8-1-0 9-1-4-0 16-5-1-0 16-9-5-0 17-8-5-0 17-9-4-0 X |X 5-8-4-0 9-8-4-0 16-5-4-0 16-12-1-0 20-8-1-0 24-1-4-0 X |X 16-12-4-0 20-8-4-0 24-8-4-0

Some patterns still to be solved !
3 patterns are looking for minimal solutions.

JPF

by ab » Wed May 03, 2006 1:58 pm

JPF wrote:
ab wrote:also I have annotated gfroyle's list with puzzles that are impossible ...
Code: Select all
20: 16-11-0-0-0 16-0-7-0-0 19-8-0-0-0 19-0-4-0-0 0-11-4-0-0 0-8-7-0-0 impossible

are you sure that this pattern is impossible ?

my initial criterion for posting impossible puzzles was two empty lines in a band. That puzzle does not meet that, so I'm not sure that it's impossible. I do think it a very unlikely candidate, but that's just an opinion.

For anyone still searching for 20s I keep getting pseudo puzzles for 0-2-5-1-0 so that might be a good candidate. I reckon 0-2-5-2-0 is the next best bet and 1-4-4-1-0 is an outside chance. good luck!

The New Sudoku Players' Forum

Fully symmetrical puzzles

Supplementaray list: 19 minimal 24s.