Maximum number of clues for a given SE rating

Everything about Sudoku that doesn't fit in one of the other sections

Postby 999_Springs » Mon Oct 27, 2008 9:40 am

Code: Select all
6....245952..4..1...35..2..3..1945...1.658.34..5273..1..4..51...3..2..4575.4....8

39 clues, ER 9.2

Code: Select all
6....245952..4..1..435..2..3..1945...1.658.344.5273..1..4..51...3..2..4575.4....8

41 clues, ER 8.9

Code: Select all
6....245952..4..1..435..2..3..1945.221.658.344.5273..1..4..512..3..2..457524....8

45 clues, ER 8.3
999_Springs
 
Posts: 591
Joined: 27 January 2007
Location: In the toilet, flushing down springs, one by one.

Postby 999_Springs » Thu Oct 30, 2008 7:51 am

Code: Select all
219|356|784
843|..7|659
657|498|2..
---+---+---
198|74.|5.6
432|561|978
765|8.9|.4.
---+---+---
976|.85|4..
321|974|865
584|6..|.97

ER=2.6, 66 clues

This was found manually (I don't have any sort of computer programming knowledge whatsoever) and took me 1.5 hours.

Eioru, in your collaboration of ratings you missed the 7.0 puzzle on page 4:

Code: Select all
.13|4.7|825
..4|8.2|631
28.|1.3|947
---+---+---
...|.24|318
342|918|756
8.1|.36|294
---+---+---
429|671|583
.38|245|1.9
1..|389|4.2

ER=7.0, 63 clues
999_Springs
 
Posts: 591
Joined: 27 January 2007
Location: In the toilet, flushing down springs, one by one.

Postby Eioru » Fri Nov 21, 2008 5:30 pm

Currently Result
Improve 3.4 5.8 7.5 8.3
rating |clues
-------+-------------
1.0 | 80 |
1.2 | 77 |
1.5 | 65 | 3.51482.9.18293.4.94256738142635189718762945359387461225.786.3..3.415.288..932...
1.7 | 56 | 568.4.132791283645423165...614...52.2.5.14..69.752641.1764.2.5..596.12.4.42.5..61
2.0 | 69 | 437691825268537941159842763892..5.3.615..3.8.743..8.5.326789514574316298981254376
2.3 | 62 | 327415698159862347684...25194.....7571.....2353.....69893..4716475186932261937584
2.5 | 57 | ...4..185..41..937..1...642...7..451.1..4.273.4.231869459617328182354796376928514
2.6 | 66 | 219356784843..76596574982..19874.5.64325619787658.9.4.976.854..3219748655846...97
2.8 | 57 | ..4.5678969.7.8.4557849.6..45.9378.68.9264.57.6758149..4..795689.68.5.7478564.9..
3.0 | 58 | 3517426894961832577826593411453....6967...53.2385....4513......82493...56798.54.3
3.2 | 63 | 18.2.79.5.59..1827.72589.1.7186245932649531789357182..89.1.57.2521.76.89.47892.51
3.4 | 58 | ..2...4131...2.689...1..257.1927.36572....891....91724985742136237916548641385972
3.6 | 54 | ......387....7.659.798.3421..5.3.946.6....735.....5812257389164498516273316247598
3.8 | 56 | 415.69.8767.85.4.9.894.7.6595.64287.8.7.956.4.647.895..9.5847.67.89.654.546.7..98
4.0 |
4.2 | 70 | 96173254884395672172581463919467385268752.3.4352..8.67419385276238.67..55762...83
4.4 | 66 | 3495812676283975145714629384537296817861..492912.4.753165..4..92379...46894.....5
4.5 | 62 | 239514678.54...213.61...59412736548969874135254392816748....73.972...84.31.48792.
4.6 | 60 | 421378965587629..1396..4872264.831.717..62.8383....2.67428..6.9618....24953246718
4.69 | 42 | ....291.....6189..196.458.24.15..29.5...8.4.7.6...45.3..84..6296....73..9.486.751
4.7 |
4.8 | 48 | 1.345.7...4..21...6.97831.4...3.8...234.7.518...2.5...875192436391.64.7.462.379.1
4.89 | 38 | 6.7381.....1.2.3...4395761....7.8....7916584....2.37...64.3219...8.195......7....
4.9 | 36 | 1.2.3.4.5.73..58..485691..7..8.1.7..7...8...6..1...98.8..9.2..3.........3.71645.8
5.0 |
5.1 | 46 | ...1237..7..465.....3..76.4476.12.353.15.647225.734.61..76415.....258..7...379..6
5.2 | 58 | 4.5.67.8967..894.589.4.567.568942..77245..8969..678542157.94.68.498.675..8675.9.4
5.4 | 46 | 63214597881..9...4.4..8..1....85....16.274......96....481529.6.753416..9296738.4.
5.6 | 70 | 12345678945678912378913256423.9.58.66.52.893.8973612453625174985.86943.29..82365.
5.7 | 64 | 738421695692...418451...732314782569826...347975...8212479531861832..954569...273
5.8 | 60 | ...647981.1.2836577865913246423581795...29846..8.645328..4.2765.6.9.5218...8.6493
5.9 | 56 | 974...123612347589835..9674.6......8.4..9.2.5.2...1..7751964832293..8456486532791
6.0 | 55 | .54672.1.617.985.29..5...765.928..67...75.....7.....58463825791781934625295167384
6.1 | 60 | 528...341931524786476381592.19...85..64...17..53...62.195438267382976415647...938
6.2 | 64 | 259641738743985126681372..4896513247537264...412897...92473....37815.4.216542..7.
6.5 | 58 | ..4.5678969.7.8.4557849.6.245.9.78.68.9.64.57.6758.49114..795689.68.5.7478564.9.3
6.6 | 66 | 453219786628735491197846325379..2..8215.879.3864..32.7732..18.4981.74.32546328179
6.69 | 46 | .531..8.6.81569.3.26.....51.964.1.7..7.....1.14.375.6.62....185.352186.7817.5.32.
6.7 | 64 | 12.689.7586.735..175.142...385274169942561738671398.5.438926517596417...217853...
6.8 | 62 | 6..1..38..3.5.8.1..183...9.8..613472421875936367924158146789523273451869.8.236741
6.9 | 65 | ..2.4.658....6.42346.25.971.4.532769926487135...619284685124397319876542274395816
7.0 | 63 | .134.7825..48.263128.1.3947....243183429187568.1.36294429671583.382451.91..3894.2
7.1 | 65 | 642319578187...439359...261914283657276...8935389..142721495386493...715865.3.924
7.2 | 66 | .6..92.84..4.16.35....54.96126935478759428361843167952...243617632571849417689523
7.3 | 61 | 371542986682...345459...217914376528768...13.523...76.135984672247...893896...451
7.4 | 36 | 57.3.1.6893.7.8.54.........79.....45.........86.....326.7......42.6.7.8131.2.5.76
7.5 | 52 | ......217....5.8348..3..659..8...57127....946......382582941763746523198931786425
7.6 | 57 | .45.67.896.78.94.589.45.67.4..57.896.69..8547578946123.5479..6878.6.495.9.6.857.4
7.7 | 57 | 4.5.67.8967..894.589.4.567.568.94..77.45..8969..67854.15794..682498.675.38675.9.4
8.3 | 57 | ....472969...8.4574..5.9831..4...789.9...8164....94523549876312638412975721935648
8.9 | 41 | 6....245952..4..1..435..2..3..1945...1.658.344.5273..1..4..51...3..2..4575.4....8
9.2 | 39 | 6....245952..4..1...35..2..3..1945...1.658.34..5273..1..4..51...3..2..4575.4....8
11.2 | 37 | 6....2.5952..4..1...35..2..3..1945...1.658.3...5273..1..4..51...3..2..4575.4....8
Eioru
 
Posts: 182
Joined: 16 August 2006

Postby Eioru » Fri Dec 12, 2008 5:04 pm

999_Springs wrote:[edit: Oh dear. Your 7.7 puzzle is so hard that it froze SE on my computer for 4 minutes!]


How about this one

Code: Select all
2.4|56.|789
.69|.78|.45
578|.49|3.6
---+---+---
6..|.54|897
79.|68.|5.4
485|9.7|.6.
---+---+---
8.6|79.|45.
.57|4.6|9.8
94.|8.5|67.
Eioru
 
Posts: 182
Joined: 16 August 2006

Postby tarek » Fri Dec 12, 2008 10:25 pm

The following puzzles have been solved up until the start of non-single moves
Code: Select all
. . 8|. 6 2|. . 5
. 2 .|8 5 .|. 6 .
6 . 5|7 9 1|8 . 2
-----+-----+-----
. . 6|2 . 8|. 5 1
8 5 .|. 1 6|. 2 .
3 1 2|9 . 5|6 8 .
-----+-----+-----
5 6 .|1 . 9|2 . 8
. 8 .|5 2 .|. 1 6
2 . 1|6 8 .|5 . . ER=7.9 48 clues

. . 9|. 5 2|. . 3
. 2 .|9 3 .|. 5 .
5 . 3|6 7 .|9 . 2
-----+-----+-----
. . 5|2 . 9|. 3 4
9 3 .|. 4 5|. 2 .
1 4 2|7 . 3|5 9 .
-----+-----+-----
. 5 .|. . 7|2 . 9
. 9 .|. 2 .|. 6 5
2 . .|5 9 6|3 . . ER=8.8 44 clues
I'm sure there are better out there:D

tarek
User avatar
tarek
 
Posts: 3762
Joined: 05 January 2006

Postby 999_Springs » Sun Dec 14, 2008 7:42 am

Now I have got these outrageously annoying things called exams out of the way for some time, I can start reposting...
Code: Select all
6....2.59592.4..1...35.92..3..1945...1.658.3...5273..1..4..51...3..2..4575.4...28
40 clues, ER 9.1
(This was found completely by accident when I tried to enter Mauricio's 37 clue puzzle into SE and I made a mistake!)
Code: Select all
6....2.59592.4.81...35.92..3..1945...1.658.3...5273..1..4..51...3..2..4575.4...28
41 clues, ER 8.4
Code: Select all
6....2.59592.4.81...35.92..3..19458..1.658.3...5273..1..4..51...3..2..4575.4...28
42 clues, ER 8.2
Code: Select all
6....2.5952..4..1...35..2.73..1945...1.658.3...5273..1..4..51...3..2..4575.4....8
38 clues, ER 9.0
Code: Select all
6....2.59572.4..1...35..2..3..1945...1.658.3...5273..1..4..51...3..2..4575.4...28
39 clues, ER 8.9 (Is this rating a mistake? I went through the puzzle and the 8.9 dynamic chain isn't dynamic at all.)

999_Springs wrote:
Eioru wrote:I think this

Bidirectional Y-Cycle 6.7
Forcing X-Chain 6.7 becomes 6.69


So, in that case...

Code: Select all
(one of wapati's puzzles)

.7.6.3958
.968.7.13
3.8....76
.6749.832
8..732.69
932.8674.
7.3...684
42..68397
689374.2.

ER=6.69, 55 clues


You missed the puzzle in your collaboration of ratings.
999_Springs
 
Posts: 591
Joined: 27 January 2007
Location: In the toilet, flushing down springs, one by one.

Postby Eioru » Fri Dec 19, 2008 4:23 am

      6.5 -- 56 clues
Code: Select all
 . 4 5 . 6 7 . 8 9
 6 . 7 8 . 9 4 . 5
 8 9 . 4 5 . 6 7 .
 4 . . 5 7 8 . 9 6
 5 . 6 . 9 4 7 . 8
 7 8 9 2 . 6 5 4 .
 9 6 8 7 . . . 5 4
 . 5 4 6 8 . 9 . 7
 1 7 . 9 4 5 8 6 .



Not improve results,
not 6.6 6.7 7.6 7.7 in SE rating,

and two 6.5 Bidirectional X-Cycles took my SE many time analysing.
Eioru
 
Posts: 182
Joined: 16 August 2006

Postby 999_Springs » Mon Dec 22, 2008 8:34 am

Eioru wrote:7.4 | 36 | 57.3.1.6893.7.8.54.........79.....45.........86.....326.7......42.6.7.8131.2.5.76

It's only got 34 clues.
But you can put a 5 in r3c5 and keep the rating the same.

Eioru wrote:7.2 | 66 | .6..92.84..4.16.35....54.96126935478759428361843167952...243617632571849417689523

It's only got 65 clues.
999_Springs
 
Posts: 591
Joined: 27 January 2007
Location: In the toilet, flushing down springs, one by one.

Postby Eioru » Fri Dec 26, 2008 3:08 am

Code: Select all
893475162
215396847
476281359
.3.8.271.
768513294
.2.....83
38..5.42.
657124938
.42.38.7.           ER=4.5    63clues
Eioru
 
Posts: 182
Joined: 16 August 2006

Postby Eioru » Wed Dec 31, 2008 1:08 am

Code: Select all
.6.278.95
8.94356.7
57.691.8.
.9578..6.
7.6..985.
.8.5.67.9
.57964..8
9.8..75.6
6..85.97.             ER=7.8         50 clues


Code: Select all
.62.78.95
8.93.56.7
57.69..8.
.95784.6.
7.6..985.
.8.5.67.9
.5796...8
9.8..75.6
6..85.97.             ER=9.0         49 clues
Eioru
 
Posts: 182
Joined: 16 August 2006

Postby 999_Springs » Wed Jan 21, 2009 11:02 pm

Code: Select all
.4.|731|.9.
1..|...|...
9.7|8..|...
---+---+---
486|357|912
752|914|836
319|268|547
---+---+---
5.3|182|4.9
..1|...|...
.94|673|.5.

ER=4.0, 50 clues



Code: Select all
219|356|784
843|..7|659
657|498|2..
---+---+---
398|74.|5.6
421|563|978
765|8.9|.4.
---+---+---
976|.85|4..
132|974|865
584|63.|.97

ER=1.5, 67 clues
999_Springs
 
Posts: 591
Joined: 27 January 2007
Location: In the toilet, flushing down springs, one by one.

Postby 999_Springs » Sat Mar 07, 2009 12:10 am

daj95376 in the contrary 17 puzzles wrote:
Code: Select all
 +-----------------------------------------------------+
 |  7    3    1    |  5    2    6    |  9    8    4    |
 |  5    48   468  |  9    17   148  |  67   3    2    |
 |  468  9    2    |  3    47   48   |  67   1    5    |
 |-----------------+-----------------+-----------------|
 |  468  48   3    |  1    456  45   |  2    7    9    |
 |  9    5    7    |  2    8    3    |  4    6    1    |
 |  1    2    46   |  7    46   9    |  8    5    3    |
 |-----------------+-----------------+-----------------|
 |  2    7    9    |  8    15   15   |  3    4    6    |
 |  3    6    5    |  4    9    7    |  1    2    8    |
 |  48   1    48   |  6    3    2    |  5    9    7    |
 +-----------------------------------------------------+


ER=4.6, 62 clues



Eioru wrote:6.6 | 66 | 453219786628735491197846325379..2..8215.879.3864..32.7732..18.4981.74.32546328179

It's got 67 clues.



Eioru wrote:8.3 | 57 | ....472969...8.4574..5.9831..4...789.9...8164....94523549876312638412975721935648

8.3 | 58 | ....472969...8.45747.5.9831..4...789.9...8164....94523549876312638412975721935648
999_Springs
 
Posts: 591
Joined: 27 January 2007
Location: In the toilet, flushing down springs, one by one.

Postby 999_Springs » Sat Mar 14, 2009 10:43 pm

in the Patterns Game (game 72), Mauricio wrote:000102030300000400051004600705208006000000000400709108004600510006000003030905000 10.2/1.2/1.2

After singles, turbot fish and singles:
Code: Select all
64.|1.2|.35
3..|...|4.1
.51|..4|6..
---+---+---
7.5|2.8|..6
...|...|...
4..|7.9|1.8
---+---+---
..4|6..|51.
5.6|...|..3
13.|9.5|.64

ER=10.2, 36 clues
999_Springs
 
Posts: 591
Joined: 27 January 2007
Location: In the toilet, flushing down springs, one by one.

Postby Eioru » Fri Mar 20, 2009 9:59 am

ER |clues
----+-------------
1.0 | 80 |
1.2 | 77 |
1.5 | 67 |
1.7 | 56 | 568.4.132791283645423165...614...52.2.5.14..69.752641.1764.2.5..596.12.4.42.5..61
2.0 | 69 | 437691825268537941159842763892..5.3.615..3.8.743..8.5.326789514574316298981254376
2.3 | 62 | 327415698159862347684...25194.....7571.....2353.....69893..4716475186932261937584
2.5 | 57 | ...4..185..41..937..1...642...7..451.1..4.273.4.231869459617328182354796376928514
2.6 | 66 | 219356784843..76596574982..19874.5.64325619787658.9.4.976.854..3219748655846...97
2.8 | 57 | ..4.5678969.7.8.4557849.6..45.9378.68.9264.57.6758149..4..795689.68.5.7478564.9..
3.0 | 58 | 3517426894961832577826593411453....6967...53.2385....4513......82493...56798.54.3
3.2 | 63 | 18.2.79.5.59..1827.72589.1.7186245932649531789357182..89.1.57.2521.76.89.47892.51
3.4 | 58 | ..2...4131...2.689...1..257.1927.36572....891....91724985742136237916548641385972
3.6 | 54 | ......387....7.659.798.3421..5.3.946.6....735.....5812257389164498516273316247598
3.8 | 56 | 415.69.8767.85.4.9.894.7.6595.64287.8.7.956.4.647.895..9.5847.67.89.654.546.7..98
4.0 | 50 | .4.731.9.1........9.78.....4863579127529148363192685475.31824.9..1.......94673.5.
4.2 | 70 | 96173254884395672172581463919467385268752.3.4352..8.67419385276238.67..55762...83
4.4 | 66 | 3495812676283975145714629384537296817861..492912.4.753165..4..92379...46894.....5
4.5 | 63 | 893475162215396847476281359.3.8.271.768513294.2.....8338..5.42.657124938.42.38.7.
4.6 | 62 | 7315269845..9...32.923...15..31..27995728346112.7.98532798..346365497128.1.632597
4.69| 42 | ....291.....6189..196.458.24.15..29.5...8.4.7.6...45.3..84..6296....73..9.486.751
4.7 |
4.8 | 48 | 1.345.7...4..21...6.97831.4...3.8...234.7.518...2.5...875192436391.64.7.462.379.1
4.89| 38 | 6.7381.....1.2.3...4395761....7.8....7916584....2.37...64.3219...8.195......7....
4.9 | 36 | 1.2.3.4.5.73..58..485691..7..8.1.7..7...8...6..1...98.8..9.2..3.........3.71645.8
5.0 |
5.1 | 46 | ...1237..7..465.....3..76.4476.12.353.15.647225.734.61..76415.....258..7...379..6
5.2 | 58 | 4.5.67.8967..894.589.4.567.568942..77245..8969..678542157.94.68.498.675..8675.9.4
5.4 | 46 | 63214597881..9...4.4..8..1....85....16.274......96....481529.6.753416..9296738.4.
5.6 | 70 | 12345678945678912378913256423.9.58.66.52.893.8973612453625174985.86943.29..82365.
5.7 | 64 | 738421695692...418451...732314782569826...347975...8212479531861832..954569...273
5.8 | 60 | ...647981.1.2836577865913246423581795...29846..8.645328..4.2765.6.9.5218...8.6493
5.9 | 56 | 974...123612347589835..9674.6......8.4..9.2.5.2...1..7751964832293..8456486532791
6.0 | 55 | .54672.1.617.985.29..5...765.928..67...75.....7.....58463825791781934625295167384
6.1 | 60 | 528...341931524786476381592.19...85..64...17..53...62.195438267382976415647...938
6.2 | 64 | 259641738743985126681372..4896513247537264...412897...92473....37815.4.216542..7.
6.5 | 58 | ..4.5678969.7.8.4557849.6.245.9.78.68.9.64.57.6758.49114..795689.68.5.7478564.9.3
6.6 | 67 | 453219786628735491197846325379..2..8215.879.3864..32.7732..18.4981.74.32546328179
6.69| 55 | .7.6.3958.968.7.133.8....76.6749.8328..732.69932.8674.7.3...68442..68397689374.2.
6.7 | 64 | 12.689.7586.735..175.142...385274169942561738671398.5.438926517596417...217853...
6.8 | 62 | 6..1..38..3.5.8.1..183...9.8..613472421875936367924158146789523273451869.8.236741
6.9 | 65 | ..2.4.658....6.42346.25.971.4.532769926487135...619284685124397319876542274395816
7.0 | 63 | .134.7825..48.263128.1.3947....243183429187568.1.36294429671583.382451.91..3894.2
7.1 | 65 | 642319578187...439359...261914283657276...8935389..142721495386493...715865.3.924
7.2 | 65 | .6..92.84..4.16.35....54.96126935478759428361843167952...243617632571849417689523
7.3 | 61 | 371542986682...345459...217914376528768...13.523...76.135984672247...893896...451
7.4 | 35 | 57.3.1.6893.7.8.54....5....79.....45.........86.....326.7......42.6.7.8131.2.5.76
7.5 | 52 | ......217....5.8348..3..659..8...57127....946......382582941763746523198931786425
7.6 | 57 | .45.67.896.78.94.589.45.67.4..57.896.69..8547578946123.5479..6878.6.495.9.6.857.4
7.7 | 57 | 4.5.67.8967..894.589.4.567.568.94..77.45..8969..67854.15794..682498.675.38675.9.4
7.8 | 50 | .6.278.958.94356.757.691.8..9578..6.7.6..985..8.5.67.9.57964..89.8..75.66..85.97.
7.9 | 48 | ..8.62..5.2.85..6.6.57918.2..62.8.5185..16.2.3129.568.56.1.92.8.8.52..162.168.5..
8.2 | 42 | 6....2.5952..4..1...35..2.73..1945...1.658.3...5273..1..4..51...3..2..4575.4....8
8.3 | 58 | ....472969...8.45747.5.9831..4...789.9...8164....94523549876312638412975721935648
8.4 | 41 | 6....2.59592.4.81...35.92..3..1945...1.658.3...5273..1..4..51...3..2..4575.4...28
8.8 | 44 | ..9.52..3.2.93..5.5.367.9.2..52.9.3493..45.2.1427.359..5...72.9.9..2..652..5963..
8.9 | 41 | 6....245952..4..1..435..2..3..1945...1.658.344.5273..1..4..51...3..2..4575.4....8
9.0 | 49 | .62.78.958.93.56.757.69..8..95784.6.7.6..985..8.5.67.9.5796...89.8..75.66..85.97.
9.1 | 40 | 6....2.59592.4..1...35.92..3..1945...1.658.3...5273..1..4..51...3..2..4575.4...28
9.2 | 39 | 6....245952..4..1...35..2..3..1945...1.658.34..5273..1..4..51...3..2..4575.4....8
10.2| 36 | 64.1.2.353.....4.1.51..46..7.52.8..6.........4..7.91.8..46..51.5.6.....313.9.5.64
11.2| 37 | 6....2.5952..4..1...35..2..3..1945...1.658.3...5273..1..4..51...3..2..4575.4....8
Eioru
 
Posts: 182
Joined: 16 August 2006

Postby Eioru » Thu Mar 26, 2009 6:39 pm

Code: Select all
943125786
158679342
7..348519
8...31.9.
3.1.92..8
59..861.3
639817...
215964837
487253961

ER=4.5, 64 clues
 
Unique Rectangle type 3 (with Hidden Pair) (B3,C3,C4,B4)
Eioru
 
Posts: 182
Joined: 16 August 2006

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