Maximum number of clues for a given SE rating

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Re: Maximum number of clues for a given SE rating

Postby eleven » Wed Apr 24, 2019 9:36 pm

That's a well compressed SE 8.4 indeed !

Some short krakens solve it, like this:
Code: Select all
+------------------+-------------------+----------------+
|  8    24    34   | #234    1     9   | 5    6    7    |
|  456  245  #34+6 |  7     #234  #234 | 8    1    9    |
|  1    9     7    |  8      5     6   | 2    3    4    |
+------------------+-------------------+----------------+
|  9    8     4-6  | #34+6   34    1   | 7    2    5    |
| a46   1     5    |  246    24    7   | 9    8    3    |
|  3    7     2    |  9      8     5   | 6    4    1    |
+------------------+-------------------+----------------+
|  7    45    1    |  245    6     24  | 3    9    8    |
| a45   6     8    | #34+5   9     34  | 1    7    2    |
|  2    3     9    |  1      7     8   | 4    5    6    |
+------------------+-------------------+----------------+

Deadly pattern 234 in the marked cells.
6r2c3 or 6r4c4 or 5r8c4 - (5=46)r85c1
=> -6r4c3
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Re: Maximum number of clues for a given SE rating

Postby SpAce » Wed Apr 24, 2019 10:13 pm

eleven wrote:Deadly pattern 234 in the marked cells.
6r2c3 or 6r4c4 or 5r8c4 - (5=46)r85c1
=> -6r4c3

Nice! Written as an Almost-ALS-XY-Wing:

(6)r4c4 = [(6=45)r58c1 - (5=342)r841c4 - (2=346)r2c563] => -6 r4c3; stte
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Re: Maximum number of clues for a given SE rating

Postby 999_Springs » Tue Aug 27, 2019 8:08 pm

bunch of tiny improvements:
Code: Select all
983567124672413..91452893..45.13.29.219..4..3.3.9.241.32..9..41.9134...2.64.2193.  7.4/55
98.716...6.12947.84273581968..129.67.1647.98.79.86...1.48637.19169542873.7.9816..  7.5/59
98176...26.7..98.13..18.769576948123194...6878..67149546.2179.82198.6.747.8.9.216  7.9/59 skfr 7.8
98.75.64.7569...284..6.85798345697125.9.7.836.67.8.495.458.796.69...5.87.78.96.54  8.0/56 skfr 7.9
98.7..6.575..6938.3.65.8.97679.5...82.598.73683..7695.1986..57.5238.7.69467.9582.  8.1/55 skfr 8.0
893674521.128534...45129..395741.3.22.4935.1713.7.29454.13..25.5..2.1.3432.54.1.8  8.2/58
9...21.43.153492..234..69.114.938..2..945213.3526178945.12.43.942..93.15.931.542.  9.0/56 skfr 8.9
98.7..6.575..69.8..265.8.7926.9.75.8.95.867...78..5.9681269..57539.7.86.64785.9..  9.4/51
98.75.6..1.78.6.956.5..9.787985.3.6.2..69758.356.8.9.757.9..8.646..78.598.9.657..  9.7/51 skfr 9.6

bunch of ties, only some of which have been checked for non-isomorphism:
Code: Select all
981465...427389516536127489..569.1.8..981..5...857396.892731645753946821..4258793  5.8/64
123465..9456789132789213..42.835194.391.472..5.4.923.1842936.1.617528493935174.2.  7.2/65
985761..2612394758347285196.39.786.5.765.9.8.85.62397..289365.756.8.7..979..5286.  7.6/61
985716.2.612349785347258196.39.7586..5689...787.6325.9.2856397.59..276.876.98..5.  7.6/61
98.7526..7.5.61.981.68.9.5787.9.6.2525..8796.6.92.578.318694572497528..6562173849  7.7/61 skfr 7.6
98.723.161.74689...6.159.78.96841..771893.64..3.67.189.71.86.9464..978.18.9.1476.  8.0/56
953..2.14.1.49.253.245319..5673491824912...3.382.154.9.39154.2.14..2.39.27.9.3.41  8.0/56
98.7246.1.67891...1425367896.1.4.97887496.1...9.17846...9.178.64.8659.17716.8..9.  8.5/56
9.2.34.1..3.9814.241..2639.8214.593...32198.4.943.8.2114.8932..3..152.49259647183  8.8/57
9857..61.261.89.7.34751628947395816219267...8658..19.75.41978.6819.6.7..7.68...91  8.9/59 skfr 8.7
5.91.867.7.659...818.6.75.9258319467391764285674285.9.9658..7..4..97685.8.745.9.6  8.9/59
98.7..6.575..68.9.2.69.5.788.95.6..762..87.595.7.9.8.61728.956.39865.7..46527.98.  9.2/52
98.7..6.575..69.8.1.68.5.978.75.6..961..97.585.9.8.7.62719.856.36815.97.49567.8..  9.2/52
9.17.3.24..342.9.124.19..3.4.23.7.1931.9.42...9.21..43..9.314.212..493..534672198  9.4/51
98.7..6.12.69.1.8717..68.9.6.1.279.87.98.61..82..19.7636817...9417.9.86.59268.71.  9.5/52

all of these (except the 5.8 tie which is a patterns game puzzle) were produced using the same method as before by removing all occurrences of 4 numbers in champagne's hardest list, except in 1 block/row/column, and messing around with them

also a present for tarek at his request, a non-jellyfish 5.2:
Code: Select all
1..2..953...51.28..523..14.2.5.38761.617.2538...15642967..2381531.8.5672528671394  5.2/57 UL10 type 3 with naked triplet

this 5.2 is a UL10 type 3 with naked triplet, and is a simple modification of my 4.8

EDIT: tarek posted a UL12 type 3 with naked pair (se 5.1) with 57 clues here, stating that this was a patterns game puzzle by champagne. since UL ratings don't increase beyond UL10, you can remove 2 clues from the UL and get a 5.1 with 59 clues. my previous 5.1/57 earlier in the thread was in fact a UL10 with hidden triplet, not with naked pair. you can also remove 2 clues from the UL10 to get a UL8 with naked pair that ties with the current 4.8/61
Code: Select all
.62431...14.869..33..75216421.6.3.4...62.43.1.34517..6653178492471926538.2.345617  5.1/59 UL10 type 3 with naked pair

as this is a new page, here is the full list updated from qiuyanzhe's list on the previous page to include all the puzzles at the top, plus the 3.0/65 from earlier that he missed:

ER |clues
----+-------------
1.0 | 80 |
1.2 | 77 |
1.5 | 68 | 1.8469.535.61.39..4932.51.6715942638839651...264837591647528319381794265952316..7
1.7 | 66 | 98.75.62.75..6289.2.6.98517697245138..897.2565.2.86749.6.537982829614375375829461
2.0 | 69 | 437691825268537941159842763892..5.3.615..3.8.743..8.5.326789514574316298981254376
2.3 | 64 | 327415698159862347684...25194....17571.....2353...1.69893..4716475186932261937584
2.5 | 64 | 1298657343459718268672..19597612..5823..5..1751.....62492.1.5836513..279783592641
2.6 | 66 | 219356784843..76596574982..19874.5.64325619787658.9.4.976.854..3219748655846...97
2.8 | 64 | 981346572654297138237.8.469.798.42.642.76.98..689.2347746.298.3.126.879489.47.62.
3.0 | 65 | 56872193479234.1..143....27985634271321..7.4.67421.3..8369724154591837622174..893
3.2 | 65 | ..5678..9.6.25978.78913425653.72689..768935.289241563795736142864.58297...8947.65
3.4 | 62 | 128975346394618257567...981846....7971.....2323.7...64972...435483597612651342798
3.6 | 60 | 579.....8148.297.3263.789.461.895.37857....9193...78.5795.4.382421983576386752149
3.8 | 63 | .2894.35775....8949438571268.9.64275.6.27.948274589631.8.49.763...7.5489497638512
4.0 | 57 | 759.....8148.297.3263.789.461.895.37875....9193...78.559..4.38242198357638..52149
4.2 | 70 | 96173254884395672172581463919467385268752.3.4352..8.67419385276238.67..55762...83
4.4 | 66 | 3495812676283975145714629384537296817861..492912.4.753165..4..92379...46894.....5
4.5 | 68 | .8.9.2467..9.6782326783419589..23674.247.6938736489251...298716918675342672341589
4.6 | 69 | 459872361826143975137569.8.671.945.89857.16..243658719764.1589.3924871565189.6..7
4.7 | 67 | 24915367836789..1515867.39.574.698.16815.79..932418567496.8175.7239451868157.6..9
4.8 | 61 | 1..2..953...51.28..523..14.2.5.38761.61.72538...156492574823619329641875618795324
4.9 | 59 | 1..2..953...51.28..523..14.2.5.38761.617.2538...156492574823619628..1375319675824
5.0Q| 60 | 128935647367841925954...38187.....5621.....7964.....32781...263496372518532618794
5.0U| 65 | 15.67.38938915..6767.89315.947.165.85167.89..823549671495.6781.2314857967689.1..5
5.1 | 59 | .62431...14.869..33..75216421.6.3.4...62.43.1.34517..6653178492471926538.2.345617
5.2 | 62 | 98.7.6.5265.28.79.217.95.68829547..64768..925531962874.486295.7792.5.68..65.78249
5.3 | 48 | .61..452.298...6144.561298..42...738..6...49.98....16.62..7835185.1..276.1.2..849
5.4 | 59 | 123965847489317526576..89138.4....752......896......34945...762368572491712694358
5.6 | 70 | 12345678945678912378913256423.9.58.66.52.893.8973612453625174985.86943.29..82365.
5.7 | 66 | .234.67894.7.89236689327145231..48979758..462846792351..29.8574..4.7.928798245613
5.8 | 64 | 483126795159..76822675893415268..91.7189.245.394...82.671298534942...178835...269
5.9 | 64 | 176238594845179362932...7184573...81281.5..366938...75728...643569483127314.2.859
6.0 | 63 | 123948657467315982895...314984..3.7637.4...2925.....43642...735538672491719534268
6.1 | 60 | 528...341931524786476381592.19...85..64...17..53...62.195438267382976415647...938
6.2 | 65 | 947521683128763549653984127296...374731642958584397216..5.794.2..24..79.4792..8..
6.5 | 66 | 42385179685937621467149283519.68.327362.1..89.8.2396.193612...824.9681.3.18.43962
6.6 | 69 | 63972415872...6439.4..3.26746..7.382.932.8746287643591376482915854197623912365874
6.7 | 65 | 2346.7.8969..23.47.7..4.23632..6.4784.67.8392789234615..7382964842196753963475821
6.8 | 64 | 6..1..38..3.5.8.1..183...9...1723846243816759876459123127934568369285471485671932
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 | 55 | 983567124672413..91452893..45.13.29.219..4..3.3.9.241.32..9..41.9134...2.64.2193.
7.5 | 59 | 98.716...6.12947.84273581968..129.67.1647.98.79.86...1.48637.19169542873.7.9816..
7.6 | 61 | 59476381286.5..937..7.984566734891254.56.7389.8935.6747.68.529.9.8.7.56..5.9.6748
7.7 | 61 | .2893.4579...47823437852196....89674..47..98587946531258....749.9..74538743598261
7.8 | 61 | 8...19567.517.689296785213418....279.9..27681276981345....78913..91..728718293456
7.9 | 59 | 98176...26.7..98.13..18.769576948123194...6878..67149546.2179.82198.6.747.8.9.216
8.0 | 56 | 98.75.64.7569...284..6.85798345697125.9.7.836.67.8.495.458.796.69...5.87.78.96.54
8.1 | 55 | 98.7..6.575..6938.3.65.8.97679.5...82.598.73683..7695.1986..57.5238.7.69467.9582.
8.2 | 58 | 893674521.128534...45129..395741.3.22.4935.1713.7.29454.13..25.5..2.1.3432.54.1.8
8.3 | 61 | ...89.457.8..57923957234816..8.1967464.72.189719468532.7..8.291.9..4.768861972345
8.4 | 61 | 8...19567...7..81919785623498...1725.15..79833729856417.1.6.398.68.9.172239178456
8.5 | 56 | 47.563...5.6879.34983142576.6..374.52946513877354.8.6.35...674...73.465.64.7.5..3
8.6 | 54 | 952637814..341529.41.289.3..491.3.28.3..249.12.1.96.4339...14.212.9483....43.21.9
8.7 | 51 | 3....1542251.4..3..4.2531..41.5..2.3.2531.4....3.24.155841923671...35824.324..951
8.8 | 57 | .82.61.4.6.14...82.4728.16.475136928219857634863924..1.286..41.1.6.4289...4.182.6
8.9 | 59 | 7..9426539325164..5647382913.562...484.3..56262.85431.2.64.513.1.326..4545.1.3.26
9.0 | 56 | 9...21.43.153492..234..69.114.938..2..945213.3526178945.12.43.942..93.15.931.542.
9.1 | 54 | 9857.6..16741..98.123498576.6197...8..861.79..97.8216..168.9..78.92.761.7.2.618.9
9.2 | 52 | 95.76.8..86...9.75..78.596.68..9.5.7..567..89.795.862.7164532985.8927..6.9.18675.
9.3 | 51 | 87569....6125.79.834921856778.9...569...5678..5678...956.87..9..98..567...7.698.5
9.4 | 51 | 98.7..6.575..69.8..265.8.7926.9.75.8.95.867...78..5.9681269..57539.7.86.64785.9..
9.5 | 52 | .5482.13.2.134...5.83.514.2.4..3521.3.5.12.4.1.248.5.351.2.43...2.1.3.54436578921
9.6 | 50 | 675982.1.8..7.6529..9.5.78678...569.95..6783...689..575.8.7.96..675.9.48.9.6.8.75
9.7 | 51 | 98.75.6..1.78.6.956.5..9.787985.3.6.2..69758.356.8.9.757.9..8.646..78.598.9.657..
9.8 | 50 | 95.76.8..86.1.9.75..78.596.68.29.5.7..567..89.795.86..74635..985.89.7..6.9.48675.
9.9 | 49 | 8759..6..6..87..59..9.65.7878...95.6932456781.5678..9.5.8..796..6.59.8.7.976.8..5
10.0| 49 | 8756..9..61..98.75.49.75.8678...956.92.5.67.8.5678...959..6.8.7.3785.69..689.7.5.
10.1| 51 | 95.76.8..86...9.75..78.596.68..9.5.7..567..89.795.86..7164532985.8927..6.9.18675.
10.2| 49 | 6857..9..71395..86249.86.5789.6.5.7..56..78.9..789.56.96.5..7.85...7869..78.69..5
10.3| 49 | 57.96.8..86...7.953.98.567.78.59..6.9.5..67.81.678..596..258947.976..58..58.79..6
10.4| 49 | 7956..8..81..95.76.46.87.9567.8.9.5.92.56.78..58.7.6.956.7..9.8.379.856..89.56..7
10.5| 42 | 7.96..8..6.398..57.8..7...98.2.57.9.9....6.78.6789.5..5.17.89...76..9.85.9856.7..
10.6| 41 | 7.96..83.6..98..57.8..7...98.14.7.9.9....6.78.6789.5..5..7.89...76..9.85.9856.7..
11.2| 37 | 6....2.5952..4..1...35..2..3..1945...1.658.3...5273..1..4..51...3..2..4575.4....8
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