X Digits: 7

For fans of Killer Sudoku, Samurai Sudoku and other variants

X Digits: 7

Postby m_b_metcalf » Mon Apr 03, 2023 7:52 am

Code: Select all
 . 1 2 3 4 5 6 7 8
 . . . . . . . . 1
 . . . . . . . 2 .
 . . . . . . 5 . .
 . . . . 5 2 9 . .
 . . . . 1 . . . .
 . . . 2 . . . . .
 . . 6 . . . . . .
 . 7 . . . . . . .   moderate, minimal

 . 1 2 3 4 5 6 7 8
 . . . . . . . . 3
 . . . . . . . 2 .
 . . . . . . 5 . .
 . . . . 1 7 9 . .
 . . . . 6 . . . .
 . . . 8 . . . . .
 . . 8 . . . . . .
 . 2 . . . . . . .   very hard, minimal


Does a non-minimal 7 exist?
User avatar
m_b_metcalf
2017 Supporter
 
Posts: 13586
Joined: 15 May 2006
Location: Berlin

Re: X Digits: 7

Postby Hajime » Mon Apr 03, 2023 8:41 am

Both are not minimal, you can skip the 6 in first row.
But no luck finding a minimal up till now... still searching...
User avatar
Hajime
 
Posts: 1354
Joined: 20 April 2018
Location: Fryslân

Re: X Digits: 7

Postby m_b_metcalf » Mon Apr 03, 2023 9:40 am

Hajime wrote:Both are not minimal, you can skip the 6 in first row.

Yes, you're right. Sorry.

M
User avatar
m_b_metcalf
2017 Supporter
 
Posts: 13586
Joined: 15 May 2006
Location: Berlin

Re: X Digits: 7

Postby Hajime » Mon Apr 03, 2023 1:46 pm

After a full vicinity {-6,+6} search of 2:35 hh:mm, starting with the hard puzzle, I found
Code: Select all
132.610.242 possible puzzles of which
 10.562.597 possibles in different minlex form *) of which
  4.365.409 with no solution and
  6.192.954 with multiple solutions and
      4.234 are not minimal, so
          0 minimal puzzles to be send to SukakuExplainer for rating
*) The minlex routine is not so thorough and only swaps digits (and leave out the dots)

Maybe there is a prove that there is indeed no minimal puzzle for 7.
User avatar
Hajime
 
Posts: 1354
Joined: 20 April 2018
Location: Fryslân

Re: X Digits: 7

Postby Pat » Mon Apr 03, 2023 4:45 pm

Hajime wrote:
I found

4234 not minimal



i hope you show us some of these
User avatar
Pat
 
Posts: 4056
Joined: 18 July 2005

Re: X Digits: 7

Postby Hajime » Mon Apr 03, 2023 4:55 pm

Pat wrote:
Hajime wrote:I found 4234 not minimal

i hope you show us some of these

I discarded them during the search, it will take another 2.5 hours to find them :o
Pat, what are you most interesting in?
User avatar
Hajime
 
Posts: 1354
Joined: 20 April 2018
Location: Fryslân

Postby Pat » Mon Apr 03, 2023 6:01 pm

i enjoy the puzzles i can solve on paper

needing something beyond "singles",
but only "basic" moves + fish (not "finned")

so,
1.7-2.3 sometimes (where beyond "singles")
2.5-4.0 always
4.1-5.4 sometimes (where only "basic" moves + fish (not "finned"))

how to filter?
User avatar
Pat
 
Posts: 4056
Joined: 18 July 2005

Postby 1to9only » Mon Apr 03, 2023 6:23 pm

Code: Select all
.12345678........3.......2.......4......629......8.......6.......5.......7....... ED=9.5/1.0/1.0
.12345678........1.......3.......5......642......8.......6.......8.......3....... ED=9.4/1.0/1.0
.12345678........2.......1.......5......124......8.......9.......3.......7....... ED=9.3/1.0/1.0
.12345678........1.......2.......5......569......8.......6.......5.......7....... ED=9.2/1.0/1.0
.12345678........1.......2.......5......567......1.......6.......5.......8....... ED=9.1/1.0/1.0
.12345678........1.......2.......2......629......1.......6.......5.......7....... ED=9.0/1.0/1.0
.12345678........1.......2.......4......379......1.......9.......5.......8....... ED=8.9/1.0/1.0
.12345678........1.......2.......2......729......1.......9.......6.......7....... ED=8.8/1.0/1.0
.17349685........3.......2.......1......179......8.......8.......6.......7....... ED=8.7/1.0/1.0
.12345678........1.......2.......4......573......1.......9.......4.......8....... ED=8.6/1.0/1.0
.12345678........1.......2.......3......527......1.......7.......6.......7....... ED=8.5/1.0/1.0
.12345678........1.......2.......3......164......8.......4.......8.......2....... ED=8.4/1.0/1.0
.12345678........1.......2.......3......179......5.......8.......5.......4....... ED=8.3/1.0/1.0
.12345678........1.......2.......5......589......1.......6.......4.......8....... ED=8.2/1.0/1.0
.12345678........1.......3.......3......579......1.......9.......4.......5....... ED=8.0/1.0/1.0
.12345678........1.......2.......3......529......1.......5.......5.......3....... ED=7.9/1.0/1.0
.12345678........1.......2.......3......624......9.......9.......5.......7....... ED=7.8/1.0/1.0
.12345678........1.......2.......2......524......8.......9.......1.......7....... ED=7.7/1.0/1.0
.12345678........1.......2.......3......549......1.......7.......5.......8....... ED=7.6/1.0/1.0
.12345678........1.......2.......5......524......1.......8.......9.......7....... ED=7.5/1.0/1.0
.12345678........1.......2.......5......563......8.......2.......1.......7....... ED=7.4/1.0/1.0
.12345678........1.......2.......3......534......1.......8.......3.......7....... ED=7.3/1.0/1.0
.12345678........1.......2.......2......589......1.......9.......9.......7....... ED=7.2/1.0/1.0
.12345678........1.......2.......3......524......1.......5.......4.......7....... ED=7.1/1.0/1.0
.12345678........1.......2.......5......524......7.......5.......1.......8....... ED=7.0/1.0/1.0
.12345678........1.......3.......5......549......8.......6.......8.......7....... ED=6.9/1.0/1.0
.12345678........1.......2.......2......179......5.......8.......6.......5....... ED=6.8/1.0/1.0
.12345678........1.......2.......4......519......6.......4.......3.......7....... ED=6.7/1.0/1.0
.12345678........1.......2.......2......529......1.......6.......3.......7....... ED=6.6/1.0/1.0
.12345678........1.......2.......4......523......1.......7.......6.......8....... ED=6.5/1.0/1.0
.12345678........1.......3.......3......562......1.......4.......4.......5....... ED=6.2/1.0/1.0
.13245678........3.......2.......5......189......7.......3.......8.......2....... ED=5.7/1.0/1.0
.12345678........1.......2.......5......529......1.......4.......8.......6....... ED=5.6/1.0/1.0
.12345678........2.......3.......5......624......8.......9.......3.......7....... ED=5.4/1.0/1.0
.12345678........4.......2.......5......643......8.......7.......7.......2....... ED=5.0/1.0/1.0
.12345678........4.......1.......5......293......8.......7.......6.......7....... ED=4.8/1.0/1.0
.12395678........1.......2.......3......629......5.......8.......1.......7....... ED=4.7/1.0/1.0
.12345678........1.......3.......3......562......1.......2.......7.......4....... ED=4.6/1.0/1.0
.12345678........1.......2.......3......549......2.......6.......8.......7....... ED=4.5/1.0/1.0
.12345678........1.......2.......8......529......1.......8.......5.......7....... ED=4.4/1.0/1.0
.12345678........1.......2.......3......529......1.......7.......4.......6....... ED=4.2/1.0/1.0
.12345678........3.......2.......5......614......8.......6.......3.......7....... ED=4.0/1.0/1.0
.23145678........1.......2.......5......328......1.......7.......6.......7....... ED=3.8/1.0/1.0
.12345678........1.......3.......5......624......1.......4.......7.......2....... ED=3.6/1.0/1.0
.12345678........1.......2.......3......529......7.......2.......6.......8....... ED=3.4/1.0/1.0
.12345678........1.......3.......5......589......2.......6.......6.......7....... ED=3.2/1.0/1.0
.12345678........1.......2.......4......589......1.......2.......8.......7....... ED=3.0/1.0/1.0
.12345678........1.......2.......3......329......1.......4.......5.......7....... ED=2.9/1.0/1.0
.12345678........1.......2.......3......524......8.......6.......1.......7....... ED=2.8/1.0/1.0
.12345678........1.......2.......3......329......1.......6.......5.......7....... ED=2.6/1.0/1.0
.12345678........1.......3.......5......519......8.......6.......8.......6....... ED=2.5/1.0/1.0
.12345678........2.......5.......4......189......3.......6.......7.......5....... ED=2.3/1.0/1.0
.12345678........1.......3.......5......529......8.......7.......1.......7....... ED=2.0/1.0/1.0
.12345678........1.......3.......5......569......1.......2.......5.......2....... ED=1.7/1.0/1.0
.12345678........1.......2.......5......529......6.......8.......3.......7....... ED=1.5/1.0/1.0

User avatar
1to9only
 
Posts: 4176
Joined: 04 April 2018

Re: X Digits: 7

Postby Hajime » Tue Apr 04, 2023 8:10 am

For Pat all non-minimals in the range ED=3.0-5.4. All max {-6,+6} away from the very hard 7.
Hidden Text: Show
Code: Select all
.42531678........3.......2.......5......179......6.......4.......8.......2.......   ED=3.0/1.0/1.0
.51942678........3.......2.......5......179......8.......8.......6.......2.......   ED=3.0/1.0/1.0
.23541678........3.......2.......5......179......6.......3.......8.......1.......   ED=3.0/1.0/1.0
.46321578........3.......2.......3......179......6.......8.......8.......2.......   ED=3.0/1.0/1.0
.25341678........3.......2.......5......179......2.......8.......6.......8.......   ED=3.0/1.0/1.0
.61345728........6.......4.......5......179......6.......8.......8.......2.......   ED=3.0/1.0/1.0
.52931876........3.......2.......5......179......6.......8.......8.......2.......   ED=3.0/1.0/1.0
.32541678........3.......2.......5......179......3.......8.......4.......6.......   ED=3.0/1.0/1.0
.12395687........3.......2.......5......179......3.......4.......8.......2.......   ED=3.0/1.0/1.0
.52341678........4.......2.......5......149......5.......8.......3.......2.......   ED=3.0/1.0/1.0
.52341678........4.......2.......5......159......6.......8.......4.......1.......   ED=3.0/1.0/1.0
.62345718........3.......2.......4......179......6.......5.......6.......2.......   ED=3.0/1.0/1.0
.12345678........3.......5.......1......129......5.......8.......7.......2.......   ED=3.0/1.0/1.0
.12345678........3.......2.......5......189......3.......6.......5.......7.......   ED=3.0/1.0/1.0
.14325678........1.......2.......5......519......6.......4.......8.......2.......   ED=3.0/1.0/1.0
.15349678........3.......2.......5......579......8.......9.......3.......2.......   ED=3.0/1.0/1.0
.17345698........1.......2.......5......179......8.......8.......6.......9.......   ED=3.0/1.0/1.0
.12943678........3.......2.......5......179......3.......7.......6.......8.......   ED=3.0/1.0/1.0
.12945678........3.......1.......5......729......9.......8.......6.......2.......   ED=3.0/1.0/1.0
.12395678........3.......2.......3......589......1.......9.......8.......2.......   ED=3.0/1.0/1.0
.12349678........3.......2.......5......129......5.......4.......6.......7.......   ED=3.0/1.0/1.0
.12345876........5.......2.......1......179......6.......8.......5.......6.......   ED=3.0/1.0/1.0
.12345678........4.......2.......3......519......6.......8.......3.......7.......   ED=3.0/1.0/1.0
.12345678........5.......2.......4......179......5.......7.......6.......8.......   ED=3.0/1.0/1.0
.12345678........1.......2.......5......519......8.......2.......8.......6.......   ED=3.0/1.0/1.0
.12345678........1.......2.......5......539......1.......6.......8.......3.......   ED=3.0/1.0/1.0
.12345678........3.......4.......2......189......7.......2.......8.......6.......   ED=3.0/1.0/1.0
.12345678........3.......9.......5......249......7.......8.......3.......4.......   ED=3.0/1.0/1.0
.12345678........3.......2.......5......519......2.......4.......5.......7.......   ED=3.0/1.0/1.0
.12345678........3.......2.......5......529......3.......7.......6.......7.......   ED=3.0/1.0/1.0
.12345678........3.......2.......5......549......2.......1.......5.......3.......   ED=3.0/1.0/1.0
.13542678........3.......5.......5......179......2.......9.......8.......2.......   ED=3.2/1.0/1.0
.12935678........3.......2.......5......579......2.......8.......6.......3.......   ED=3.2/1.0/1.0
.12395678........5.......2.......1......179......5.......2.......8.......9.......   ED=3.2/1.0/1.0
.12345768........3.......4.......5......579......6.......2.......3.......2.......   ED=3.2/1.0/1.0
.12345678........4.......2.......5......129......8.......7.......5.......4.......   ED=3.2/1.0/1.0
.52431678........3.......2.......5......179......6.......8.......4.......2.......   ED=3.4/1.0/1.0
.21345678........3.......2.......3......179......6.......8.......8.......5.......   ED=3.4/1.0/1.0
.13942678........3.......2.......5......179......8.......8.......6.......2.......   ED=3.4/1.0/1.0
.31942678........3.......2.......5......179......8.......8.......6.......2.......   ED=3.4/1.0/1.0
.31245678........3.......2.......5......189......9.......4.......8.......2.......   ED=3.4/1.0/1.0
.91245678........3.......2.......5......179......8.......4.......9.......2.......   ED=3.4/1.0/1.0
.16325478........3.......2.......1......179......6.......8.......5.......2.......   ED=3.4/1.0/1.0
.52341678........4.......2.......5......159......6.......8.......3.......2.......   ED=3.4/1.0/1.0
.12345678........3.......2.......1......129......6.......8.......7.......5.......   ED=3.4/1.0/1.0
.32145678........3.......2.......5......529......6.......8.......3.......1.......   ED=3.4/1.0/1.0
.12345678........2.......5.......1......179......8.......8.......5.......2.......   ED=3.4/1.0/1.0
.12345678........4.......2.......1......129......6.......8.......7.......5.......   ED=3.4/1.0/1.0
.12345678........4.......2.......1......129......6.......8.......7.......3.......   ED=3.4/1.0/1.0
.12345678........4.......2.......5......529......6.......8.......3.......7.......   ED=3.4/1.0/1.0
.12345678........3.......5.......1......129......8.......8.......5.......2.......   ED=3.4/1.0/1.0
.12345678........3.......5.......1......149......7.......8.......5.......2.......   ED=3.4/1.0/1.0
.12345678........3.......5.......1......179......3.......8.......5.......4.......   ED=3.4/1.0/1.0
.12345678........3.......2.......5......589......2.......4.......8.......3.......   ED=3.4/1.0/1.0
.12345678........3.......2.......5......589......2.......6.......8.......3.......   ED=3.4/1.0/1.0
.12345678........3.......2.......5......129......7.......4.......3.......5.......   ED=3.4/1.0/1.0
.13245678........3.......2.......1......139......6.......8.......7.......4.......   ED=3.4/1.0/1.0
.13245678........3.......2.......1......139......6.......8.......7.......5.......   ED=3.4/1.0/1.0
.15348726........3.......1.......5......179......6.......8.......8.......2.......   ED=3.4/1.0/1.0
.16345278........3.......4.......1......149......6.......8.......5.......2.......   ED=3.4/1.0/1.0
.17345628........4.......3.......1......179......6.......8.......5.......2.......   ED=3.4/1.0/1.0
.12375896........3.......7.......5......179......6.......8.......8.......9.......   ED=3.4/1.0/1.0
.12395678........3.......2.......1......129......5.......8.......3.......6.......   ED=3.4/1.0/1.0
.12349678........3.......2.......1......139......2.......8.......7.......6.......   ED=3.4/1.0/1.0
.12345876........3.......2.......4......149......6.......7.......8.......7.......   ED=3.4/1.0/1.0
.12345678........4.......1.......2......219......6.......8.......4.......2.......   ED=3.4/1.0/1.0
.12345678........5.......1.......2......219......6.......8.......5.......2.......   ED=3.4/1.0/1.0
.12345678........2.......4.......1......149......7.......8.......3.......2.......   ED=3.4/1.0/1.0
.12345678........5.......4.......1......149......5.......8.......6.......2.......   ED=3.4/1.0/1.0
.12345678........4.......3.......1......179......5.......8.......5.......6.......   ED=3.4/1.0/1.0
.12345678........4.......2.......3......139......2.......5.......8.......7.......   ED=3.4/1.0/1.0
.12345678........3.......5.......1......129......5.......8.......7.......4.......   ED=3.4/1.0/1.0
.12345678........3.......2.......4......589......2.......8.......7.......3.......   ED=3.4/1.0/1.0
.12345678........3.......2.......5......569......2.......1.......5.......7.......   ED=3.4/1.0/1.0
.51249678........3.......2.......5......179......8.......8.......6.......2.......   ED=3.6/1.0/1.0
.92135678........3.......2.......5......179......8.......9.......5.......2.......   ED=3.6/1.0/1.0
.12349678........2.......3.......5......179......8.......8.......3.......2.......   ED=3.6/1.0/1.0
.92341678........3.......2.......5......159......7.......4.......6.......2.......   ED=3.6/1.0/1.0
.12345678........2.......3.......4......179......8.......8.......3.......2.......   ED=3.6/1.0/1.0
.12345678........5.......2.......1......179......5.......4.......8.......6.......   ED=3.6/1.0/1.0
.19345678........2.......5.......8......179......8.......5.......8.......2.......   ED=3.6/1.0/1.0
.12593768........3.......2.......5......179......6.......9.......8.......2.......   ED=3.6/1.0/1.0
.12345678........3.......2.......4......689......2.......5.......8.......7.......   ED=3.6/1.0/1.0
.19542678........3.......2.......5......179......3.......8.......5.......6.......   ED=3.8/1.0/1.0
.21345679........3.......2.......5......128......6.......8.......8.......5.......   ED=4.5/1.0/1.0
.21345678........3.......2.......5......579......2.......6.......8.......3.......   ED=4.5/1.0/1.0
.32145678........3.......2.......5......549......7.......8.......4.......2.......   ED=4.5/1.0/1.0
.32145678........3.......2.......5......549......7.......8.......5.......2.......   ED=4.5/1.0/1.0
.42351678........3.......2.......5......189......7.......5.......8.......2.......   ED=4.5/1.0/1.0
.52348617........4.......3.......5......179......6.......8.......8.......2.......   ED=4.5/1.0/1.0
.72349618........3.......2.......5......179......3.......9.......7.......2.......   ED=4.5/1.0/1.0
.72345618........3.......2.......5......579......6.......4.......3.......1.......   ED=4.5/1.0/1.0
.12345678........4.......5.......3......179......2.......8.......5.......2.......   ED=4.5/1.0/1.0
.12345678........4.......2.......1......189......7.......4.......8.......2.......   ED=4.5/1.0/1.0
.12345678........4.......2.......5......129......3.......8.......4.......7.......   ED=4.5/1.0/1.0
.12345678........3.......2.......5......589......6.......4.......3.......7.......   ED=4.5/1.0/1.0
.12345678........3.......2.......5......129......3.......2.......6.......7.......   ED=4.5/1.0/1.0
.12345678........3.......2.......5......129......8.......4.......5.......7.......   ED=4.5/1.0/1.0
.13524678........3.......2.......5......179......8.......6.......8.......2.......   ED=4.5/1.0/1.0
.14235678........3.......2.......1......189......6.......8.......7.......2.......   ED=4.5/1.0/1.0
.15342768........3.......2.......5......179......6.......5.......9.......2.......   ED=4.5/1.0/1.0
.15349678........3.......1.......5......579......2.......8.......4.......2.......   ED=4.5/1.0/1.0
.15342678........3.......2.......5......149......7.......5.......1.......2.......   ED=4.5/1.0/1.0
.19345678........3.......2.......5......319......7.......9.......1.......2.......   ED=4.5/1.0/1.0
.12953678........3.......1.......5......129......6.......8.......9.......2.......   ED=4.5/1.0/1.0
.12395678........3.......4.......1......169......2.......8.......4.......2.......   ED=4.5/1.0/1.0
.12349876........3.......2.......5......129......6.......9.......8.......7.......   ED=4.5/1.0/1.0
.12349678........3.......2.......5......619......3.......9.......1.......2.......   ED=4.5/1.0/1.0
.12349678........3.......2.......5......129......3.......2.......6.......7.......   ED=4.5/1.0/1.0
.12345879........4.......2.......5......149......2.......8.......8.......7.......   ED=4.5/1.0/1.0
.12345876........4.......2.......5......172......2.......8.......8.......4.......   ED=4.5/1.0/1.0
.12345698........4.......2.......5......329......6.......8.......4.......9.......   ED=4.5/1.0/1.0
.12345678........4.......5.......3......679......2.......8.......5.......2.......   ED=4.5/1.0/1.0
.12345678........4.......5.......3......169......2.......8.......5.......2.......   ED=4.5/1.0/1.0
.12345678........5.......3.......1......129......6.......8.......4.......5.......   ED=4.5/1.0/1.0
.12345678........2.......1.......5......739......1.......8.......3.......2.......   ED=4.5/1.0/1.0
.12345678........4.......1.......5......519......2.......8.......6.......2.......   ED=4.5/1.0/1.0
.12345678........4.......3.......5......549......6.......8.......5.......7.......   ED=4.5/1.0/1.0
.12345678........4.......1.......5......549......6.......8.......7.......3.......   ED=4.5/1.0/1.0
.12345678........1.......2.......8......549......7.......8.......4.......2.......   ED=4.5/1.0/1.0
.12345678........1.......2.......8......529......1.......8.......8.......7.......   ED=4.5/1.0/1.0
.12345678........4.......2.......1......189......2.......4.......8.......7.......   ED=4.5/1.0/1.0
.12345678........5.......2.......1......169......5.......4.......8.......7.......   ED=4.5/1.0/1.0
.12345678........5.......2.......1......129......8.......4.......8.......5.......   ED=4.5/1.0/1.0
.12345678........1.......2.......5......619......2.......9.......8.......5.......   ED=4.5/1.0/1.0
.12345678........4.......2.......5......549......2.......6.......8.......7.......   ED=4.5/1.0/1.0
.12345678........1.......2.......5......289......7.......8.......1.......6.......   ED=4.5/1.0/1.0
.12345678........4.......2.......5......519......2.......8.......7.......5.......   ED=4.5/1.0/1.0
.12345678........5.......2.......5......549......2.......8.......1.......7.......   ED=4.5/1.0/1.0
.12345678........1.......2.......5......579......1.......4.......6.......3.......   ED=4.5/1.0/1.0
.12345678........3.......5.......4......179......3.......2.......5.......6.......   ED=4.5/1.0/1.0
.12345678........3.......2.......5......683......2.......8.......7.......3.......   ED=4.5/1.0/1.0
.12345678........3.......2.......5......319......7.......2.......1.......5.......   ED=4.5/1.0/1.0
.12345678........9.......2.......1......149......7.......8.......4.......2.......   ED=4.6/1.0/1.0
.19345786........3.......2.......5......179......6.......9.......8.......3.......   ED=4.6/1.0/1.0
.18345679........3.......2.......5......149......8.......8.......3.......7.......   ED=4.6/1.0/1.0
.19345678........3.......2.......5......169......8.......4.......3.......7.......   ED=4.6/1.0/1.0
.12349687........3.......2.......5......179......6.......4.......8.......2.......   ED=5.0/1.0/1.0
.92341687........3.......2.......5......179......6.......4.......8.......2.......   ED=5.0/1.0/1.0
.12349678........3.......2.......5......159......6.......4.......7.......2.......   ED=5.0/1.0/1.0
.92341678........3.......2.......5......159......6.......4.......7.......2.......   ED=5.0/1.0/1.0
.19235678........3.......2.......5......179......8.......8.......2.......3.......   ED=5.0/1.0/1.0
.12345687........3.......2.......5......679......2.......4.......8.......5.......   ED=5.0/1.0/1.0
.21345678........3.......2.......5......139......8.......8.......2.......7.......   ED=5.4/1.0/1.0

For the X-Pearls collection: No pearls found
User avatar
Hajime
 
Posts: 1354
Joined: 20 April 2018
Location: Fryslân


Return to Sudoku variants

cron