## Maximum number of clues for a given SE rating

Everything about Sudoku that doesn't fit in one of the other sections
r.e.s. wrote:
Code: Select all
`+-------------+-------------+-------------+ | 5   4   37  | 78  378 6   | 2   1   9   | | 2   8   79  | 1   79  5   | 6   4   3   | | 39  6   1   | 4   39  2   | 8   7   5   | +-------------+-------------+-------------+ | 8   3   5   | 2   4   7   | 1   9   6   | | 1   9   6   | 3   5   8   | 7   2   4   | | 4   7   2   | 9   6   1   | 5   3   8   | +-------------+-------------+-------------+ | 79  1   89  | 6   78  4   | 3   5   2   | | 37  5   38  | 78  2   9   | 4   6   1   | | 6   2   4   | 5   1   3   | 9   8   7   | +-------------+-------------+-------------+`

This is a 4.2, ties with wintder's 68 givens for the rating and isn't isomorphic to it.
999_Springs

Posts: 591
Joined: 27 January 2007
Location: In the toilet, flushing down springs, one by one.

LMC964 wrote:
Code: Select all
`6..|.5.|.19 .91|..7|524 .5.|.1.|6.8 -----------214|..8|953 .7.|.25|.61 .65|1..|2.7 -----------1..|5.6|..2 5..|2..|196 .26|.81|..5 `

This is a 3.4 with 45 clues.
999_Springs

Posts: 591
Joined: 27 January 2007
Location: In the toilet, flushing down springs, one by one.

Bob Hanson in his solver wrote:
Code: Select all
`..1|7.4|8...8.|.1.|.47574|.9.|.21---+---+---..8|5.3|1..1..|.4.|..8..3|981|2..---+---+---.9.|.6.|413.1.|4..|.5...6|1.9|782`

3.8, 40 clues (this probably could be improved)

I might have to discontinue this thread...
999_Springs

Posts: 591
Joined: 27 January 2007
Location: In the toilet, flushing down springs, one by one.

Code: Select all
`437691825268537941159842763892..5.3.615..3.8.743..8.5.326789514574316298981254376`

ER=2.0, 69 clues
999_Springs

Posts: 591
Joined: 27 January 2007
Location: In the toilet, flushing down springs, one by one.

Code: Select all
`rating |clues(max/min) -------+-------------  1.0  | 80/60  1.2  | 77/20  1.5  | 65/17  1.7  | --/17  2.0  | 69/17  2.3  | --/22  2.5  | --/25  2.6  | 65/17  2.8  | --/21  3.0  | 51/17  3.2  | 63/17  3.4  | 45/17  3.6  | --/17  3.8  | 40/17  4.2  | 68  5.2  | 56/17  5.6  | 70/17  5.8  | 60  6.6  | 64/17  6.7  | 59  6.8  | 62  7.1  | 64/17  7.2  | 62/17  7.3  | 59 11.2  | 37`

Many can be improve.
Eioru

Posts: 182
Joined: 16 August 2006

Code: Select all
`..4.5678969.7.8.4557849.6..45.9378.68.9264.57.6758149..4..795689.68.5.7478564.9..        SE=2.8    57 givens `

Code: Select all
`.456789..8.9.4.56767.5.9.489342816755.8796..4.67435.894529678...86.5479279.8..456        SE=4.5    60 givens `

Code: Select all
`.456789..61.459.78789...456.5.3647898769.5..493478.56.46...7895527896.4..9854.627        SE=4.6    59 givens `

Code: Select all
`4.5.67.8967..894.589.4.567.568942..77245..8969..678542157.94.68.498.675..8675.9.4        SE=5.2    58 givens `

Code: Select all
`..4.5678969.7.8.4557849.6.245.9.78.68.9.64.57.6758.49114..795689.68.5.7478564.9.3         SE=6.5    58 givens `

Code: Select all
`.45.67.896.78.94.589.45.67.4..57.896.69..8547578946123.5479..6878.6.495.9.6.857.4         SE=7.6    57 givens `

Code: Select all
`4.5.67.8967..894.589.4.567.568.94..77.45..8969..67854.15794..682498.675.38675.9.4        SE=7.7    57 givens `
Eioru

Posts: 182
Joined: 16 August 2006

Code: Select all
`415.69.8767.85.4.9.894.7.6595.64287.8.7.956.4.647.895..9.5847.67.89.654.546.7..98            SE=3.8    56 givens`

Code: Select all
`...28369..9.761.5...6954.1.915...783672839145384517926....9.471.69.75238......569              SE=6.9    53 givens`
Last edited by Eioru on Thu Oct 16, 2008 7:12 pm, edited 2 times in total.
Eioru

Posts: 182
Joined: 16 August 2006

Eioru, thanks for posting your results and reviving this thread.

Eioru wrote:
Code: Select all
`  5.8  | 60 `

windter's 5.8 puzzle is actually a 6.8.

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

Posts: 591
Joined: 27 January 2007
Location: In the toilet, flushing down springs, one by one.

Code: Select all
`239514678.54...213.61...59412736548969874135254392816748....73.972...84.31.48792.              SE=4.5    62 givens`
Eioru

Posts: 182
Joined: 16 August 2006

Improving 4.4 , 5.7 , 6.7 , 6.9 , 7.2

Currently Result
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 | 59 | 398514276175236498426...31568.....245......6994.....377....8952264395781859721643
2.5 |
2.6 | 65 | 97..483163681.7.4.14..367.82193758648364192577548621395.76.34814837.16..6.1.84.73
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 | 45 | 6...5..19.91..7524.5..1.6.8214..8953.7..25.61.651..2.71..5.6..25..2..196.26.81..5
3.6 |
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 | 68 | 653824197918736245247.5.6833915427685863..4214726..539.24..5376.692.3854.3546.912
4.4 | 64 | ....39.56.9.541.72....86.49...418927149327568287695431...873295873952614952164783
4.5 | 62 | 239514678.54...213.61...59412736548969874135254392816748....73.972...84.31.48792.
4.6 | 59 | .456789..61.459.78789...456.5.3647898769.5..493478.56.46...7895527896.4..9854.627
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 | 63 | 5...28.93....69.54....51.68...1453763146978256752834194..572981187936542259814637
5.8 | 56 | 167..9452382745196459621387.7......9.45.6...1.3...8..5628...913513..6274794213568
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 | 43 | ..1...2......1....3.2.48516..6487123183.6.974...1398654.9.5.3826.8.2..5...58..6..
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 | 64 | 6..841.3773.926.14..4735.6239751248646.3987.1...6743.9...483675846257193573169248
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
7.1 | 64 | 8.36..7...6.73.8..7..8..631576129348...358276238476519321564987685917423947283165
7.2 | 66 | .6..92.84..4.16.35....54.96126935478759428361843167952...243617632571849417689523
7.3 | 59 | ..6.....12.31...5...1.3....468723915132598476759641823914362587327859164685417...
7.4 | 36 | 57.3.1.6893.7.8.54.........79.....45.........86.....326.7......42.6.7.8131.2.5.76
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
11.2 | 37 | 6....2.5952..4..1...35..2..3..1945...1.658.3...5273..1..4..51...3..2..4575.4....8
Last edited by Eioru on Sun Oct 19, 2008 4:02 pm, edited 4 times in total.
Eioru

Posts: 182
Joined: 16 August 2006

Code: Select all
`96173254884395672172581463919467385268752.3.4352..8.67419385276238.67..55762...83              SE=4.2    70 givens     `

Code: Select all
`3495812676283975145714629384537296817861..492912.4.753165..4..92379...46894.....5              SE=4.4    66 givens     `

Code: Select all
`738421695692...418451...732314782569826...347975...8212479531861832..954569...273              SE=5.7    64 givens     `

Code: Select all
`259641738743985126681372..4896513247537264...412897...92473....37815.4.216542..7.              SE=6.2    64 givens`

Code: Select all
`453219786628735491197846325379..2..8215.879.3864..32.7732..18.4981.74.32546328179             SE=6.6    68 givens      `

Code: Select all
`642319578187...439359...261914283657276...8935389..142721495386493...715865.3.924              SE=7.1    65 givens `

Code: Select all
`371542986682...345459...217914376528768...13.523...76.135984672247...893896...451             SE=7.3    61 givens     `
Last edited by Eioru on Sun Oct 19, 2008 3:00 am, edited 4 times in total.
Eioru

Posts: 182
Joined: 16 August 2006

Code: Select all
`327415698159862347684...25194.....7571.....2353.....69893..4716475186932261937584              SE=2.3    62 givens`
Eioru

Posts: 182
Joined: 16 August 2006

Eioru wrote:6.69 | 46 | .531..8.6.81569.3.26.....51.964.1.7..7.....1.14.375.6.62....185.352186.7817.5.32.

Looks like 6.7 on my computer... is it just me?

What's the difference between the 6.69 and 6.7 ratings?
999_Springs

Posts: 591
Joined: 27 January 2007
Location: In the toilet, flushing down springs, one by one.

I think this

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

Posts: 182
Joined: 16 August 2006

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).7.6.3958.968.7.133.8....76.6749.8328..732.69932.8674.7.3...68442..68397689374.2.ER=6.69, 55 clues`

and SE wrote:Analysis results
Difficulty rating: 6.7
This Sudoku can be solved using the following logical methods:
25 x Hidden Single
1 x Direct Hidden Pair
1 x Pointing
2 x Naked Pair
1 x Jellyfish
1 x BUG type 1
1 x Turbot Fish
1 x Forcing X-Chain

(Note the very, very wide variety of techniques.)
999_Springs

Posts: 591
Joined: 27 January 2007
Location: In the toilet, flushing down springs, one by one.

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