## Low-stepper Puzzles.

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

### Low-stepper Puzzles.

The purpose of this thread is to collect lowstepper puzzles - puzzles that can be solved by a low number of 'singleton steps'. Puzzles are collected from the 'inferior thread', in addition to new submissions.

The puzzles are grouped by the following symmetry types:
• Type I = Full dihedral symmetry [F]
• Type II = Full rotational symmetry [L]
• Type III = Horizontal and vertical reflection [P]
• Type IV = Diagonal and anti-diagonal reflection [X]
• Type V = 180-degree rotational symmetry [R]
• Type VI = Horizontal or vertical reflection [H]
• Type VII = Diagonal or anti-diagonal reflection [D]
• Type 0 = No symmetry [A]
Steps for the low-stepper puzzles are counted as defined in the Inferior Thread:
ab wrote:Vidarino summed up how to count the number of steps quite well:
1. locate singles (naked or hidden) - but don't place any numbers
2. place all located singles in one sweep
3. rinse and repeat until solved

As an effort to get a collection of good quality and diversity, the following rules are proposed for puzzles to qualify: Everybody may submit up to 3 puzzles in a specific class (symmetry type and number of steps). After that new submissions should beat your personal best in the particular group it belongs. Also, puzzles 'substantially lower than average' will not enter the list.

Code: Select all
`Lowest known number of clues for Low-steppers: #------------------------------+----+----+----+----+----+----+----+----+ Number of steps:               |  1 |  2 |  3 |  4 |  5 |  6 |  7 |  8 | #------------------------------+----+----+----+----+----+----+----+----+ Symmetric + absolute minimal:  | -- | -- | -- | 20 | 20 | 18 | 18 | 18 | Symmetric + minimal symmetric: | 44 | 32 | 24 | 20 | 20 | 18 | 18 | 18 | Symmetric:                     | 38 | 30 | 24 | 20 | 20 | 18 | 18 | 18 | Minimal:                       | -- | -- | 31 | 20 | 20 | 18 | 18 | 17 | Any sudoku:                    | 34 | 28 | 24 | 20 | 20 | 18 | 18 | 17 | #------------------------------+----+----+----+----+----+----+----+----+ #------------------------------+----+----+----+----+----+----+----+----+ Type I symmetry:   (M)         | -- | -- | -- | -- | 24 | -- | 21 | 20 |         [code:F]   (SM)        | 44 | 32 | 28 | 28 |    | 24 |    |    |                    (not M)     | 40 |    |    |    |    |    |    |    | #------------------------------+----+----+----+----+----+----+----+----+ Type II symmetry:  (M)         | -- | -- | -- | 24 | 20 | 20 | 20 | 20 |         [code:L]   (SM)        | -- | 32 | 24 |    |    |    |    |    |                    (not M)     | 40 |    |    |    |    |    |    |    | #------------------------------+----+----+----+----+----+----+----+----+ Type III symmetry: (M)         | -- | -- | -- | -- | 22 | 22 | 22 | 22 |         [code:P]   (SM)        | -- | 34 | 28 | 25 |    |    |    |    |                    (not M)     | 40 | 32 |    |    |    |    |    |    | #------------------------------+----+----+----+----+----+----+----+----+ Type IV symmetry:  (M)         | -- | -- | -- | -- | -- | 18 | 18 | 18 |         [code:X]   (SM)        | -- | 32 | 26 | 26 | 25 |    |    |    |                    (not M)     | 39 | 31 |    |    |    |    |    |    | #------------------------------+----+----+----+----+----+----+----+----+ Type V symmetry:   (M)         | -- | -- | -- | 20 | 20 | 18 | 18 | 18 |        [code:R]    (SM)        | -- | -- | 26 |    |    |    |    |    |                    (not M)     | 38 | 31 |    |    |    |    |    |    | #------------------------------+----+----+----+----+----+----+----+----+ Type VI symmetry:  (M)         | -- | -- | -- | 22 | 21 | 21 | 21 | 20 |         [code:H]   (SM)        | -- | -- | 27 |    |    |    |    |    |                    (not M)     | 38 | 31 |    |    |    |    |    |    | #------------------------------+----+----+----+----+----+----+----+----+ Type VII symmetry: (M)         | -- | -- | -- | -- | 22 | 22 | 18 | 18 |          [code:D]  (SM)        | -- | 32 | 25 | 23 |    |    |    |    |                    (not M)     | 38 | 30 |    |    |    |    |    |    | #------------------------------+----+----+----+----+----+----+----+----+ No symmetry:       (M)         | -- | -- | 31 | 31 | 21 | 19 | 18 | 17 |    [code:A]        (not M)     | 34 | 28 | 25 | 23 |    |    |    |    | #------------------------------+----+----+----+----+----+----+----+----+ #------------------------------+----+----+----+----+----+----+----+----+ Lowest known number of steps for minimal 31+ puzzles:#------------------------------+----+----+----+----+----+----+----+----+ Number of clues:               | 31 | 32 | 33 | 34 | 35 | -- | -- | -- | #------------------------------+----+----+----+----+----+----+----+----+ Lowest number of steps:        |  3 |  3 |  3 |  3 |  6 | -- | -- | -- | #------------------------------+----+----+----+----+----+----+----+----+ `

#
# Lowest entries (symtype,steps,clues,min,puzzle,submitter,refno):
#
#
-,1,34,-,020000610560047008708003002002609000070000540010078306009510070000806190043002000,JPF,263
-,2,28,-,310005700005800401070090000007900520060000000090168000040030065008000090000607100,JPF,242
-,3,25,-,007010000060020080080000906002800009700003201050000400300067000000305000290000050,JPF,241
-,3,31,M,003006780700000450056700100201000800060007201090030500312605000600008000070012000,coloin,277
-,3,32,M,003006780700100450406780100230064800060000201000000000312640000600008000008012005,coloin,278
-,3,33,M,023006780700100450406700100231060800060007200000000000310605000600008002078012005,coloin,279
-,3,34,M,000000000004001052057043081018057034006480007000000000091025040070106008085900013,coloin,272
-,4,23,-,007100800062000930004207100000000000000010200030456000000538060009070000000000000,Ocean,232
-,4,31,M,000000000000001352057040601018050930006009000000312005001005700070130000080074203,coloin,281
-,5,21,M,001200000000100030400000056700000083000500020004900000029000000008004900000003700,Ocean,286
-,6,19,M,010200000000000703006000400000500097400000800000100000050006010700040000000080009,Ocean,25
-,6,35,M,000000000060001352057000601018057930000409007009310060001005700070130500085074203,coloin,273
-,7,18,M,010023000000000045000000000406000000000060300500000070000410060030000200100080000,Ocean,24
-,8,17,M,000100060300000200500000000017000000000003800000000000060710040200000300000600500,gfroyle/Ruud,18
-,8,17,M,010000700000004000000060000504000060000120000600300000400008000000000305000700100,gfroyle/Ruud,19
#
I,1,40,-,560070012700149006003060400010306080825000637040702090008090700200438009630020041,JPF,253
I,1,44,SM,065207930100508004709306208513000682000000000496000317908601405300702006021409870,Ocean,30
I,2,32,SM,040000070510030024000284000001603900034000510002407800000546000780020036090000050,Ocean,27
I,2,32,SM,040206030205000807070010090100604009009000200800307005030080020706000108080109040,JPF,270
I,3,28,SM,970000063100070008000205000005802600020000010006903400000109000500040009860000041,Ocean,75
I,4,28,SM,000789000006000100070030090800405006704000209600203008050060030002000400000127000,gsf,118
I,5,24,M,004108700000206000700000006370000012000000000460000059500000003000709000002804900,Ocean,85
I,6,24,SM,007000400000104000302000905060080030000709000070050090901000304000506000003000700,gsf,179
I,7,21,M,000102000010000030004050600300000002005070800900000001008040500020000060000508000,Ocean,264
I,8,20,M,000000000001020300040105060003000700080000040009000200050407080002010900000000000,Ocean,150
#
II,1,40,-,800001905000863700624000300740295080090306050050147092009000841001578000203900006,gsf,226
II,1,40,-,028306010409105003000807045213000974000000000654000328180703000700509601030402580,JPF,268
II,2,32,SM,000183000071002360020900050850000107400000009603000045060001020085200790000574000,gsf,122
II,3,24,SM,000001230100004500670008000268000000000000000000000497000500081004700003093600000,Ocean,177
II,4,24,M,000001020201003000004005670683000000000000000000000245068200900000800403090700000,Ocean,180
II,5,20,M,100000203000000400560070000000205000004000800000103000000060071008000000203000005,Ocean,238
II,6,20,M,000001020304005000000006070528000000000000000000000314010200000000300508060700000,Ocean,185
II,7,20,M,000001230300000400450060000900000000007000800000000004000040056008000009072300000,Ocean,184
II,8,20,M,000001230400000500560070000300000000008000900000000005000050067009000004082300000,Ocean,183
#
III,1,40,-,068000170105080302000491000206307904040508060803904205000135000702040508034000690,JPF,254
III,2,32,-,006849500000050000402000709035000940040105020087000310903000108000070000001382600,JPF,256
III,2,34,SM,000000000803601504105304807650080093000000000270060018904105306302907105000000000,gsf,160
III,3,28,SM,000000000506000201800236005090402030040000010050809020900753004403000906000000000,gsf,161
III,4,25,SM,000509000008000500701000608400060002000324000500090001603000704007000900000801000,gsf,130
III,5,22,M,000010000001000200023000450500306007000000000800204006054000390002000500000070000,Ocean,166
III,6,22,M,000000000010020030400506007002010800000709000009080600600105004080030020000000000,Ocean,167
III,7,22,M,000000000001020300024000150300104006000000000700805004013000240008090700000000000,Ocean,168
III,8,22,M,000000000000102000304000506010020040570000081090060020108000409000607000000000000,Ocean,169
#
IV,1,39,-,006003010002750804734200090053020009020189040800040760040001356109032400070800900,JPF,255
IV,2,31,-,090063100700000800000008674000030406600951002801070000243500000007000008005610030,JPF,261
IV,2,32,SM,002806030000004809600095070800000354006000700591000006010670008309100000040209600,gsf,196
IV,3,26,SM,300008600040015000000002904000000385030000090867000000506700000000290070008400002,gsf,259
IV,4,26,SM,040079100903000000060002008000003504600000002207500000500100070000000605002960010,Ruud,153
IV,4,26,SM,020000509305001000060008004000040790000706000052010000600400010000500603508000070,gsf,157
IV,5,25,SM,604500010000820006108000000510000000070090050000000049000000507300069000060004908,Ruud,154
IV,6,18,M,001000023000004005600007000000000780000000000052000000000200009800300000470000100,Ocean,290
IV,7,18,M,001000023000004005200006000000000670000000000035000000000500004600200000740000800,Ocean,291
IV,8,18,M,001000023000004005600007000000000480000000000032000000000200009800600000470000100,Ocean,292
#
V,1,38,-,030008061190074800200506300380049000047000290000630087004801006001290074950400020,JPF,249
V,2,31,-,623000010000009865009700020200840050000070000050063007040007600968200000070000483,JPF,248
V,3,26,SM,080000024050009000014750000008040600000102000002060700000015360000300090590000040,gsf,191
V,4,20,M,000000001000002000030400506000007890060000020043500000207009080000600000100000000,Ocean,288
V,5,20,M,000000010002000034500067000000031000700000005000480000000240009380000600010000000,Ocean,87
V,6,18,M,000000001000002000001000034000005670004000200018900000690000700000400000200000000,Ocean,289
V,7,18,M,000000010000021000003000045000006200070000080004500000620000900000480000090000000,Ocean,94
V,8,18,M,000000010000012000003000045000006200070000080004500000620000300000840000090000000,Ocean,95
#
VI,1,38,-,004126800003090700860050049070010020020468010901000306210709038500000004007235600,JPF,251
VI,2,31,-,003208600105000309000000000210050068000070000708040205080000070040615030060987010,JPF,247
VI,3,27,SM,000000000003409200980205067000000000000791000207000408010080020036000540050010030,gsf,141
VI,4,22,M,001000200203000405000306000720000068000000000000104000000010000009000300040768020,Ocean,284
VI,5,21,M,000000012030000004005012000200600000000370600800100000006059000050000007000000031,Ocean,287
VI,6,21,M,000000000010020030200405006400000002000000000100706008060050090007040300090000010,Ocean,283
VI,7,21,M,100000002000000000300405006200107004000000000003020800004060900090010080006000300,Ocean,282
VI,8,20,M,000000000000001200130040050002006700053000000008002900980050030000007600000000000,Ocean,239B
#
VII,1,38,-,001908300008041650520000080300175004090824000270630005940000102017000003000703948,JPF,252
VII,2,30,-,500080000000500037000126400013090000409800105008000006001050080030000529020064010,JPF,262
VII,2,32,SM,009410025008200074240900003137000000600000450000000109000036000460050001725004060,gsf,258
VII,3,25,SM,000085000006000700072090030000076005300004902150000000000000340900200600010950000,gsf,164
VII,4,23,SM,017000002090008000002604000000090410500003000000200600800000305000000068201060000,gsf,260
VII,5,22,M,120034000500000600003000700000008010300000028200700000089000003000450000000010900,Ocean,225
VII,6,22,M,000000030000305809006001070700000240430900000000020060200000500000090000005014000,gsf,224
VII,7,18,M,070030000800000500000000100000070943500600000000000000034800070000500600000100000,gfroyle/gsf,105
VII,8,18,M,001400000000200050300000700520000060000010900000000000009080104070500000000000300,gfroyle/gsf,106
VII,8,18,M,002400000000600800700000010130050000000900200000000400090013070004000600000000000,gfroyle/gsf,107
VII,8,18,M,003200000000500800900000040410070000000600500000000200090041070002000600000000000,gfroyle/gsf,108
VII,8,18,M,003200000000500800900000040410070000000600500000000200090041070005000600000000000,gfroyle/gsf,109
VII,8,18,M,009000036020700000800400000036090000000800700000000000000060190700000800400000000,gfroyle/gsf,110
VII,8,18,M,009000064020700000800300000046090000000800700000000000000060190700000800300000000,gfroyle/gsf,111
VII,8,18,M,050000630900100000000400000032080000000600100000000400700032080100000900000000000,gfroyle/gsf,112
VII,8,18,M,080010000500000300000000200000070814300500000000000000014900070000200600000300000,gfroyle/gsf,113
VII,8,18,M,090100800500000020000400000302060000000700400000000100900032060010000700000000000,gfroyle/gsf,114
VII,8,18,M,090100800500000030000200000403060000000700100000000200900043060010000700000000000,gfroyle/gsf,115
VII,8,18,M,090200800500000030000100000403060000000700100000000200900043060010000700000000000,gfroyle/gsf,116

#
# All puzzles so far:
#
-,1,34,-,020000610560047008708003002002609000070000540010078306009510070000806190043002000,JPF,263
-,1,35,-,947008100103006820000000057090340008630090000210000079006831000000704260501200400,JPF,240
-,1,36,-,300007190200806000459000060906001054000030200007204819040150003085020907600408000,JPF,201
-,1,36,-,230700800000609051100000430078015043900080106040000002003062094827300000460150000,JPF,202
-,1,37,-,400900800900813002600000017007400680014020503530009070000041308052000706008762009,JPF,174
-,1,37,-,702600019503007000000823060900031850054080670017040020201000007000309482090205000,JPF,203
-,1,37,-,860305009005074002009008300002000840638009070070600005904850763100230500700400100,JPF,204
-,1,37,-,054300007700100043610900502300820470001060809570000200809503000200090051100047600,JPF,205
-,1,37,-,020600000001080540300921780064700000900250003850006209400193820080000634500004010,JPF,206
-,1,37,-,410000052300420069000068000000907208047200003005310796060540000100003670859001300,JPF,207
-,1,37,-,740001300012000680000729050060500740308090005090102000480000030007630920620950401,JPF,208
-,1,37,-,367000910080090406005081000070562030003000647091003080800400071500900302026105000,JPF,209
-,1,37,-,002634000008001570490058302003900681007310020065000009320047010070000000506803900,JPF,210
-,1,37,-,286009400009510800000000670635900000090000732100084000002468050500273901470100008,JPF,211
-,1,37,-,681004090003080500004003128048710630050940080060000057890001000000539072700002004,JPF,212
-,1,37,-,600000450591080070824003900042090106000076090005408020073500002080140600100030709,JPF,213
-,1,37,-,032590007050080962080700050490063000021000800605004100009208074067050003203010008,JPF,214
-,1,37,-,390000065050190024060200080004003000020871009805640013087054600006000790109008400,JPF,215
-,1,37,-,640050091703008054800092000010000739000670002530210008020000687008705900409030100,JPF,216
-,1,37,-,000045006007830501830090002903100648060580000020000730076209010382006000001070064,JPF,217
-,1,37,-,080600000000002950040185270010728090829003600350000400102076000690530001004009803,JPF,218
-,1,37,-,090076000006380071000100240704900513200704009800035000040291705001040680523000000,JPF,219
-,1,37,-,060090704201040069009370051983000100006002030700005800430600000502814600010700902,JPF,220
-,1,38,-,100097023900006050002300740070500201350900086208400030004083910019750000560020004,ab,96
-,1,39,-,100097023900006050002300740070508001350000086208400030004083910019750002560029004,ab,93
-,2,28,-,310005700005800401070090000007900520060000000090168000040030065008000090000607100,JPF,242
-,2,29,-,040700200082001604000040003230400070090863040000000100001975000306000000008200050,JPF,195
-,2,30,-,400000560003400080520073000100026000005000100000008975060907030008100000391004002,JPF,171
-,2,31,-,002600009490070206503040010000000100021809004050007090700003058000501700300096000,JPF,170
-,2,34,-,002000065760400090008507100000083600097000350040659000106000432370210000050030001,JPF,17
-,3,25,-,007010000060020080080000906002800009700003201050000400300067000000305000290000050,JPF,241
-,3,26,-,054076000100000200009040000000007060008009005701008090000051000400092300230000700,JPF,193
-,3,27,-,051000097080020405000041000907600000200000370000000804370280500000400008000390000,JPF,182
-,3,31,M,003006780700000450056700100201000800060007201090030500312605000600008000070012000,coloin,277
-,3,32,M,003006780700100450406780100230064800060000201000000000312640000600008000008012005,coloin,278
-,3,33,M,023006780700100450406700100231060800060007200000000000310605000600008002078012005,coloin,279
-,3,34,M,000000000004001052057043081018057034006480007000000000091025040070106008085900013,coloin,272
-,4,23,-,007100800062000930004207100000000000000010200030456000000538060009070000000000000,Ocean,232
-,4,25,-,000800000700005180064000030000014000006000079050092000178000002200930006000100000,JPF,221
-,4,26,-,200003000015800000690000804000400000002108500000009006000000900908070120007034080,JPF,181
-,4,27,-,007200000000150800543007602092060300000003021000080005060008004000070000900000703,Ruud,151
-,4,31,M,000000000000001352057040601018050930006009000000312005001005700070130000080074203,coloin,281
-,4,34,M,023406700080100450406700100231060800060007201000000000312600008600008000078012005,coloin,280
-,5,21,M,001200000000100030400000056700000083000500020004900000029000000008004900000003700,Ocean,286
-,5,22,M,000000000000010200030450000002006700076000130008902600000843050001020000000000000,Ocean,233
-,5,24,M,300000000072008090060032080000600000000059001018000700120000500000003000900700103,Ruud,152
-,6,19,M,010200000000000703006000400000500097400000800000100000050006010700040000000080009,Ocean,25
-,6,35,M,000000000060001352057000601018057930000409007009310060001005700070130500085074203,coloin,273
-,6,35,M,000000000060001350057003601010057930506409000009010060001025700072130500080074203,coloin,274
-,6,35,M,000000000060001350050043601010057930506409000009012000091025700072130500000074203,coloin,275
-,6,35,M,000000000060001350050043601010057930506409000009012000001025700072130500080074203,coloin,276
-,7,18,M,010023000000000045000000000406000000000060300500000070000410060030000200100080000,Ocean,24
-,8,17,M,000100060300000200500000000017000000000003800000000000060710040200000300000600500,gfroyle/Ruud,18
-,8,17,M,010000700000004000000060000504000060000120000600300000400008000000000305000700100,gfroyle/Ruud,19
#
I,1,40,-,560070012700149006003060400010306080825000637040702090008090700200438009630020041,JPF,253
I,1,44,SM,065207930100508004709306208513000682000000000496000317908601405300702006021409870,Ocean,30
I,1,44,SM,608703902020408050503209406286000594000000000415000837704901308060305070109806205,Ocean,31
I,1,44,SM,004107300002893500590204087259000741010000050738000692380502016001386200005901400,Ocean,32
I,1,44,SM,046208530720403096800509007234000169000000000579000382400705003190304058058601270,Ocean,33
I,1,48,SM,305208904087904160960301025598000312000000000123000746830406057042509630601703408,vidarino,4
I,1,48,SM,076205340209407608510603029652000137000000000387000964160304092703908406098102570,Ocean,35
I,1,48,SM,096108240802706103130204065265000489000000000978000316720405038601903704054807920,Ocean,36
I,1,48,SM,081502670607309805520607043278000316000000000413000957150406038806701504094805260,Ocean,37
I,1,48,SM,017209350908501204620803091192000875000000000546000913250407036704306509061902480,Ocean,38
I,1,48,SM,092107350805309602160502097928000134000000000634000785780203046306708901059406870,Ocean,39
I,1,48,SM,390215064204603805060704090936000578800000001152000436080902050405107609710568043,Ocean,40
I,1,48,SM,052804960108509704490601035731000258000000000546000193820107049904203607073408510,Ocean,41
I,1,48,SM,083705920506901803790803056218000749000000000475000361950604038607102405024309610,Ocean,42
I,1,48,SM,001867500087201940650409087943000721200000005875000364730506018068103270004798600,Ocean,43
I,1,48,SM,018409370205306108740801095482000936000000000356000781120705069807902503039108420,Ocean,44
I,2,32,SM,040000070510030024000284000001603900034000510002407800000546000780020036090000050,Ocean,27
I,2,32,SM,040206030205000807070010090100604009009000200800307005030080020706000108080109040,JPF,270
I,2,36,SM,700935006005070900090801020903000502420000083806000109070403050009050300500627004,Ocean,16
I,2,36,SM,700935006005070900090801020903000502420000083806000109070403050009050300500627004,Ocean,45
I,2,36,SM,000759000057308640090020050310000062605000108870000095040030020068402510000176000,Ocean,46
I,2,36,SM,020593010100204008004000300940030087800406002350070064007000600200605009060781050,Ocean,47
I,2,36,SM,400176002001000900030502040705209603200000008103805709060407090008000500500938007,Ocean,48
I,2,36,SM,009508600000916000103000908370080021040301090590060084904000805000845000008107200,Ocean,49
I,2,36,SM,500301002007000800010864030804607301001000900905108407080752060002000500700903008,Ocean,50
I,2,36,SM,706503409000402000501000703480609051000000000210805067109000208000706000304201605,Ocean,51
I,2,36,SM,500403009007609200080107060316000827000000000425000913040302080001906700200805004,Ocean,52
I,2,36,SM,000687000001503200057010460280000074904000603730000051048060710002405300000891000,Ocean,53
I,2,36,SM,000801000003625400072000650340080025020709060680030094091000270004957800000203000,Ocean,54
I,2,36,SM,020506080640010097000479000804000209057000460103000508000147000970060041030902050,Ocean,55
I,2,36,SM,700020003013090620050108040001709200570000084006803900030405060024070130100080007,Ocean,56
I,2,36,SM,003178400000904000907020806380000049406000107710000085601090708000503000005617200,Ocean,57
I,2,36,SM,017504320800070009300109006104000905080000010203000607700206001400090003069803740,Ocean,58
I,2,36,SM,910070026300901008000645000062000170109000802087000590000193000800704005670080049,Ocean,59
I,2,36,SM,004905600020000050500621004802409301003000400907308506700236005060000080009804100,Ocean,60
I,2,36,SM,001903800020805070309000601930070042000602000510040086108000305060701090003506200,Ocean,61
I,2,36,SM,020639050306000907050010060800201006105000209700804005070080010509000402030427090,Ocean,62
I,2,36,SM,030742010900000002005806700206905308800000001709408205001309400300000007090621050,Ocean,63
I,2,36,SM,900163002002908300010000060160040037300806001480030029090000080001409500200385004,Ocean,64
I,2,36,SM,008762300030908040900000005580070024700203008620090013200000007040507030009481600,Ocean,65
I,2,36,SM,010532080705000601040000020600974003500301009200865007050000010409000302030746090,Ocean,66
I,2,36,SM,800137006007040100049000720500608004320000097700309001016000570005060300200581009,Ocean,67
I,2,36,SM,060419020200000001005306700701040609800705002403090805002903400900000007010257080,Ocean,68
I,2,36,SM,040020070306080901089000460000832000270906014000174000032000780901040503050060040,Ocean,69
I,2,36,SM,802000104000384000900702006094070810070803090083020460300207001000651000107000905,Ocean,70
I,2,36,SM,100906003043105680090000050560010034000802000980050027030000060057308910600204005,Ocean,71
I,2,36,SM,009104200003080700120906048508000906090000070406000103860307092007090600001205400,Ocean,72
I,2,36,SM,500000004080467010003201700061080470050706030092010580008605100020943060400000002,Ocean,73
I,2,36,SM,000513000005807900017000630150070029700109008680030041063000150008301400000926000,Ocean,74
I,3,28,SM,970000063100070008000205000005802600020000010006903400000109000500040009860000041,Ocean,75
I,3,28,SM,060103050340080092000000000100602003070000040900305008000000000580020037030406010,Ocean,76
I,3,28,SM,860000025200010008000708000003070800050603040007050600000905000100030009520000086,Ocean,77
I,3,28,SM,002000500000261000407000906020705010080000050090104080905000708000937000006000200,Ocean,78
I,3,28,SM,000629000072000180050000060900102004100000008700804005080000030037000290000531000,Ocean,79
I,3,28,SM,020000060350010047000906000005309800080000070001502400000107000970040085060000090,Ocean,80
I,3,28,SM,008040300000905000605000701020103060900000007050207040309000104000802000006010800,Ocean,81
I,3,29,SM,000982000021000780050000040900070005100368002600050001010000060083000510000514000,vidarino,7
I,3,29,SM,007000900000658000503000604010205070050030060060409080901000207000147000006000500,vidarino,8
I,3,29,SM,560000024800000007002106500001040700000317000009050300005409800200000006970000031,vidarino,9
I,3,32,SM,000030000004508900058090240070105030503000604020306090092050480006409700000020000,gsf,117
I,4,28,SM,000789000006000100070030090800405006704000209600203008050060030002000400000127000,gsf,118
I,5,24,M,004108700000206000700000006370000012000000000460000059500000003000709000002804900,Ocean,85
I,6,24,SM,007000400000104000302000905060080030000709000070050090901000304000506000003000700,gsf,179
I,6,28,SM,000000000034020580080607020005030800020809050009040700010204060048060910000000000,gsf,119
I,7,21,M,000102000010000030004050600300000002005070800900000001008040500020000060000508000,Ocean,264
I,7,24,SM,400000009030000020000517000002060800001203900009040500000792000070000060800000003,gsf,120
I,8,20,M,000000000001020300040105060003000700080000040009000200050407080002010900000000000,Ocean,150
I,8,28,SM,000010000002769800080050040070000090319000582050000030090040070005687400000030000,gsf,121
#
II,1,40,-,800001905000863700624000300740295080090306050050147092009000841001578000203900006,gsf,226
II,1,40,-,028306010409105003000807045213000974000000000654000328180703000700509601030402580,JPF,268
II,1,40,-,270500009089100347040870060000030658007904100153020000030015080925006470600007032,JPF,269
II,1,41,-,100900873806005000200781050098040207003526900604090310060278009000300601352009004,gsf,198
II,2,32,-,000090020930046150082000700070508000350000086000401030004000910019750062060020000,ab,92
II,2,32,SM,000183000071002360020900050850000107400000009603000045060001020085200790000574000,gsf,122
II,2,32,-,700400198200380000806000700000902065070000020930605000001000503000064001528001009,JPF,271
II,2,36,SM,000008510807053000105079340682000000073000420000000876069310205000420901031900000,JPF,97
II,3,24,SM,000001230100004500670008000268000000000000000000000497000500081004700003093600000,Ocean,177
II,3,28,SM,058007000040000589010002007602309000000000000000705103700800020481000090000600740,gsf,123
II,4,24,M,000001020201003000004005670683000000000000000000000245068200900000800403090700000,Ocean,180
II,4,24,SM,000000010123000040000056070002608000007000300000307800080210000030000756040000000,Ocean,176
II,4,28,SM,000000390900004100130620000070206900008000500003105080000063075007800006062000000,gsf,124
II,5,20,M,100000203000000400560070000000205000004000800000103000000060071008000000203000005,Ocean,238
II,5,21,M,102000003000104000000005006047000080000090000080000410300600000000301000200000509,Ocean,234
II,5,24,M,000000010102003000004020350080050000005702600000060030053070200000100908060000000,Ocean,175
II,5,24,SM,100000003009000000008709460001050700000602000004030900067905800000000200800000007,gsf,125
II,6,20,M,000001020304005000000006070528000000000000000000000314010200000000300508060700000,Ocean,185
II,6,24,M,001084900000000500370000006400601000500000001000402009600000075007000000003120800,Ocean,173
II,6,24,SM,030600000009700001000001080008070059000804000120090600060100000400005200000008090,gsf,126
II,7,20,M,000001230300000400450060000900000000007000800000000004000040056008000009072300000,Ocean,184
II,7,24,SM,000300480900070500280000000000010009060408020100020000000000031002050006037004000,gsf,127
II,8,20,M,000001230400000500560070000300000000008000900000000005000050067009000004082300000,Ocean,183
II,8,24,M,840000005000060003000307000005408300010000080006103700000604000900020000500000024,Ocean,172
II,8,24,SM,000000170150070080600002000001080000020904030000020700000800006080050093049000000,gsf,128
#
III,1,40,-,068000170105080302000491000206307904040508060803904205000135000702040508034000690,JPF,254
III,1,42,-,609501408070000010083702950305409607000203000208107509032605180060000090407908302,gsf,231
III,1,44,-,208537406000819000530040078106080204003201600807060905740050069000926000901478503,JPF,223
III,2,32,-,006849500000050000402000709035000940040105020087000310903000108000070000001382600,JPF,256
III,2,34,SM,000000000803601504105304807650080093000000000270060018904105306302907105000000000,gsf,160
III,2,36,SM,070000010006409200018305960360904085000000000490807021057206140003701800020000030,JPF,102
III,3,28,SM,000000000506000201800236005090402030040000010050809020900753004403000906000000000,gsf,161
III,3,30,SM,060000070000305000310406089042000790000107000091000560420809056000502000030000040,vidarino,5
III,3,30,SM,030416080070000040200000005007903100600708002008201300300000001090000030040372050,gsf,129
III,3,32,SM,400000002028705630001060500590000013000309000710000086007030100065208340800000007,JPF,99
III,3,33,-,000503000405102309603000102010209080000010000050704090709000804804601205000407000,vidarino,3
III,4,25,SM,000509000008000500701000608400060002000324000500090001603000704007000900000801000,gsf,130
III,5,22,M,000010000001000200023000450500306007000000000800204006054000390002000500000070000,Ocean,166
III,5,25,SM,000509000008010500701000608400000002000324000500000001603000704007030900000801000,gsf,131
III,6,22,M,000000000010020030400506007002010800000709000009080600600105004080030020000000000,Ocean,167
III,6,24,SM,009608400013000260000000000400060007000201000100050008000000000032000870006409100,gsf,132
III,7,22,M,000000000001020300024000150300104006000000000700805004013000240008090700000000000,Ocean,168
III,7,24,SM,670050028000609000002000100300000005060000040800000001007000600000801000590060072,gsf,162
III,7,26,SM,000000000103000206000125000070080010310906048040050020000892000906000803000000000,gsf,133
III,8,22,M,000000000000102000304000506010020040570000081090060020108000409000607000000000000,Ocean,169
III,8,24,SM,400000009030000020000517000002060800501000906009040500000792000070000060800000003,gsf,134
#
IV,1,39,-,006003010002750804734200090053020009020189040800040760040001356109032400070800900,JPF,255
IV,1,41,-,007020954010059037400803002002300180140080096065007400500206008620130070938040200,JPF,222
IV,1,43,-,321605007400008030905270600209050081006194200170030906008021705040500008500407369,JPF,194
IV,1,45,-,670403010504200783080050240390540001008792300400016078049030060231004805050901037,JPF,190
IV,2,31,-,090063100700000800000008674000030406600951002801070000243500000007000008005610030,JPF,261
IV,2,32,SM,002806030000004809600095070800000354006000700591000006010670008309100000040209600,gsf,196
IV,2,34,SM,005900030004810007896750000451000000028000960000000174000069852500072300040008700,gsf,135
IV,2,38,SM,039007060805209041710408000023000674000000000971000320000904037180306205090100480,JPF,103
IV,3,26,SM,300008600040015000000002904000000385030000090867000000506700000000290070008400002,gsf,259
IV,3,28,SM,005009102000042000409005006000000431060000080751000000600300704000190000903200600,Ruud,104
IV,3,30,SM,020010500800067900000005067000500640450000023092006000180900000004270008009080030,JPF,98
IV,4,26,SM,040079100903000000060002008000003504600000002207500000500100070000000605002960010,Ruud,153
IV,4,26,SM,020000509305001000060008004000040790000706000052010000600400010000500603508000070,gsf,157
IV,4,28,SM,070008600905004300010003048000000739000000000194000000830900020006200804009500060,tarek,6
IV,4,28,SM,000000060039500078060082000090060200004905300002030050000710030540003810070000000,gsf,136
IV,5,25,SM,604500010000820006108000000510000000070090050000000049000000507300069000060004908,Ruud,154
IV,5,26,SM,000005208004070000080003009000708302010000080608209000300500040000030100207400000,gsf,137
IV,6,18,M,001000023000004005600007000000000780000000000052000000000200009800300000470000100,Ocean,290
IV,6,19,M,000001020030000004001050000000600003007030500500002000000070100800000070060200000,Ocean,267
IV,6,20,M,001023004000004000500000600000000071600000003890000000004000007000300000700650800,Ocean,235
IV,6,24,SM,000008500008061000042000007000007018090000020710600000300000450000270600004800000,gsf,138
IV,7,18,M,001000023000004005200006000000000670000000000035000000000500004600200000740000800,Ocean,291
IV,7,19,M,000001020030000004004050000000300006005070300700002000000060800500000070060400000,Ocean,266
IV,7,20,M,001023004000001000500000600000000043600000001720000000004000005000200000800690700,Ocean,236
IV,7,20,SM,000001023002000004050060000000300007008000200600007000000020050100000600740800000,Ocean,200
IV,7,24,M,000309800000065000000000504700003068010000050360400001504000000000120000009608000,gsf,139
IV,8,18,M,001000023000004005600007000000000480000000000032000000000200009800600000470000100,Ocean,292
IV,8,19,M,000001020030000001004050000000400006007080400200005000000070200100000050060300000,Ocean,265
IV,8,20,M,001023004000001000500000600000000043600000001720000000004000005000200000100680700,Ocean,237
IV,8,20,SM,000001023001000004050020000000600007008000500300008000000050080500000900260700000,Ocean,199
IV,8,24,M,070800000800060400000250010106000000083000150000000203040025000002030008000007030,Ruud,155
IV,8,25,SM,006004300002700000910200007079000002000010000500000840400006035000007400003500600,gsf,140
#
V,1,38,-,030008061190074800200506300380049000047000290000630087004801006001290074950400020,JPF,249
V,1,39,-,300451000609002400100009587502004038006030900710500604947100005001900302000786009,JPF,243
V,1,40,-,326087400070000892580041000030706001401000709200405030000650024952000080008120573,JPF,34
V,1,42,-,178560000940783000300000872007308209091000540205901600784000001000176038000094725,JPF,26
V,1,42,-,160037900080000471040815000904020703306509108807060502000283050698000020005940017,JPF,29
V,1,43,-,570008090408961570639400000065320800100050004007089360000003248092847601050600039,tarek,82
V,1,46,-,400861500500970380290400170057200603012504890304006210045007061029045008006189002,JPF,22
V,2,31,-,623000010000009865009700020200840050000070000050063007040007600968200000070000483,JPF,248
V,2,33,-,007560013004270000090000050970080006061030920200040037050000090000097800630054200,JPF,228
V,2,35,-,570000090408961000639400000005320800100050004007089300000003248000847601050000039,tarek,83
V,3,26,SM,080000024050009000014750000008040600000102000002060700000015360000300090590000040,gsf,191
V,3,28,SM,940003700500060300000001009060009520000806000084200010700100000003020007005700042,Ocean,1
V,3,28,SM,000035070600000010130020090500683900000000000004912006080090053010000008040760000,gsf,158
V,3,29,-,070000090408961000620000000005320800100050004007089300000000048000847601050000030,tarek,84
V,3,36,-,020810740700003100090002805009040087400208003160030200302700060005600008076051090,Times/ab,239
V,4,20,M,000000001000002000030400506000007890060000020043500000207009080000600000100000000,Ocean,288
V,4,24,SM,000710030300000020290600000102300009000000000400008507000009068070000001030045000,Ruud,10
V,4,27,SM,800000094040000006000530120700410000005020800000063009039087000400000030250000007,JPF,13
V,4,27,SM,003007008001400000276000004500040000008179600000020001600000917000006500800500300,JPF,15
V,4,28,SM,030970800001000000890300420562800000000000000000009546016007095000000700009046010,vidarino,2
V,4,28,SM,000200706080000015005089000600920000509000207000015003000470800820000030103002000,JPF,12
V,4,28,SM,908000000050600709000280500095020007200000006700040830007012000801004070000000203,JPF,14
V,5,20,M,000000010002000034500067000000031000700000005000480000000240009380000600010000000,Ocean,87
V,5,22,SM,000000680200370000000900050004700003080000010600005400070002000000056009013000000,Ruud,11
V,6,18,M,000000001000002000001000034000005670004000200018900000690000700000400000200000000,Ocean,289
V,6,20,M,000000010002000034400056000000041000600000007000380000000230009780000500010000000,Ocean,88
V,6,21,M,000040200790000000051009000860000000000782000000000025000500690000000053007010000,Ruud,21
V,7,18,M,000000010000021000003000045000006200070000080004500000620000900000480000090000000,Ocean,94
V,7,20,M,000000010002000034300051000000036000700000002000810000000490007160000500020000000,Ocean,90
V,7,21,M,000006058009200000050000030600010000004090200000040007070000010000005400320900000,Ruud,20
V,8,18,M,000000010000012000003000045000006200070000080004500000620000300000840000090000000,Ocean,95
V,8,19,M,000000012300004000000005006000000570006030400052000000700400000000600001830000000,Ocean,86
V,8,20,M,300000020010980000000006800000000978000000000652000000001400000000072050090000001,Ruud,28
V,8,22,M,500000008000000300070401090004060500000509000003070800090106070008000000300000001,Ocean,23
#
VI,1,38,-,004126800003090700860050049070010020020468010901000306210709038500000004007235600,JPF,251
VI,1,39,-,017305840002080100003706500400601002009040600180030097700109004650278031200050008,JPF,250
VI,1,40,-,906104708004050100000683000701000309029000540500798006608215403130406095070000020,JPF,244
VI,1,41,-,009073100010490005704200308430008061650930400290004073305600809080750004002081600,JPF,192
VI,1,44,-,007100036090046250526070008108750304900008720702910605289060003070083410003500062,JPF,186
VI,2,31,-,003208600105000309000000000210050068000070000708040205080000070040615030060987010,JPF,247
VI,2,33,-,000800005291000000048260100600080490900040617100070530056910800872000000000500003,JPF,230
VI,2,34,-,040762001008000036007000400180024005902003600670015008005000200006000083020438009,JPF,229
VI,2,35,-,020080004000090160509107320200600030308500041400800070104703290000060780070020003,JPF,188
VI,3,27,SM,000000000003409200980205067000000000000791000207000408010080020036000540050010030,gsf,141
VI,4,22,M,001000200203000405000306000720000068000000000000104000000010000009000300040768020,Ocean,284
VI,4,24,SM,000080000904000802003402600870000054020903010000000000005000200000746000030000070,gsf,227
VI,4,25,SM,034020960020901050000070000700000003000010000400809001350000012600000005000702000,gsf,142
VI,4,26,SM,092070000500800009000000685000294000016000000000615000000000731200700008034060000,JPF,100
VI,5,21,M,000000012030000004005012000200600000000370600800100000006059000050000007000000031,Ocean,287
VI,5,22,M,000001020100003000004000056500060300320000000700010400008000071900002000000009060,Ocean,285
VI,5,23,SM,900000005010000090020106040005904300700050002060000010140000067000302000000000000,gsf,178
VI,5,24,SM,000968000310000048080000020000000000006020500002301900200000003000256000050040080,gsf,143
VI,6,21,M,000000000010020030200405006400000002000000000100706008060050090007040300090000010,Ocean,283
VI,6,23,SM,000008000000035810067000000002060503000040000005080907049000000000051280000009000,gsf,197
VI,6,24,SM,000000000000156008074000002080700500056000801090300700068000009000592007000000000,gsf,144
VI,7,21,M,100000002000000000300405006200107004000000000003020800004060900090010080006000300,Ocean,282
VI,7,22,M,000064070409030000001000000000009068900100000000008023008000000306010000000072040,gsf,165
VI,7,23,M,007000600000935000000000000800000003690000087000102000400607008006403200900000001,gsf,145
VI,8,20,M,000000000000001200130040050002006700053000000008002900980050030000007600000000000,Ocean,239B
VI,8,22,SM,800007040000000030400039000003500006004000008009800002600012000000000050700003020,gsf,163
VI,8,23,M,000000000009406700020301060052090180000000000007000500730000012000000000500609003,gsf,146
#
VII,1,38,-,001908300008041650520000080300175004090824000270630005940000102017000003000703948,JPF,252
VII,1,39,-,460800020700213800000700591125680030090350070080004600072009004806430007003000162,JPF,245
VII,1,40,-,150000028940870530008106007031004800070068050004590270010203096860045700402000300,JPF,187
VII,2,30,-,500080000000500037000126400013090000409800105008000006001050080030000529020064010,JPF,262
VII,2,32,SM,009410025008200074240900003137000000600000450000000109000036000460050001725004060,gsf,258
VII,2,32,-,000050480003000702010207905008305000700020056009400020194000600300069000027080003,JPF,246
VII,2,34,-,740006010809000360060710800001004006006070035400809070058000703320048000000350100,JPF,189
VII,3,25,SM,000085000006000700072090030000076005300004902150000000000000340900200600010950000,gsf,164
VII,3,28,SM,020703000500000900000460050084020003050001600360000709400006000000914008007800040,gsf,147
VII,4,23,SM,017000002090008000002604000000090410500003000000200600800000305000000068201060000,gsf,260
VII,4,25,SM,003109600000007430000000081000700056950000000600002007230000009004080000008520000,gsf,148
VII,4,27,SM,003542080004000000870000090200108075300000200100300400000059000506400002000700050,JPF,101
VII,5,22,M,120034000500000600003000700000008010300000028200700000089000003000450000000010900,Ocean,225
VII,5,23,SM,040013000200000009000007083000090608600100400407000000000230000005000000031700005,gsf,149
VII,6,22,M,000000030000305809006001070700000240430900000000020060200000500000090000005014000,gsf,224
VII,6,23,SM,000030080000910000000080201090100600537000090000002400009508000100060000004000007,gsf,159
VII,6,24,SM,920600000500100900803000050000708000002000000000405087005090600060000003000000418,Ruud,156
VII,7,18,M,070030000800000500000000100000070943500600000000000000034800070000500600000100000,gfroyle/gsf,105
VII,8,18,M,001400000000200050300000700520000060000010900000000000009080104070500000000000300,gfroyle/gsf,106
VII,8,18,M,002400000000600800700000010130050000000900200000000400090013070004000600000000000,gfroyle/gsf,107
VII,8,18,M,003200000000500800900000040410070000000600500000000200090041070002000600000000000,gfroyle/gsf,108
VII,8,18,M,003200000000500800900000040410070000000600500000000200090041070005000600000000000,gfroyle/gsf,109
VII,8,18,M,009000036020700000800400000036090000000800700000000000000060190700000800400000000,gfroyle/gsf,110
VII,8,18,M,009000064020700000800300000046090000000800700000000000000060190700000800300000000,gfroyle/gsf,111
VII,8,18,M,050000630900100000000400000032080000000600100000000400700032080100000900000000000,gfroyle/gsf,112
VII,8,18,M,080010000500000300000000200000070814300500000000000000014900070000200600000300000,gfroyle/gsf,113
VII,8,18,M,090100800500000020000400000302060000000700400000000100900032060010000700000000000,gfroyle/gsf,114
VII,8,18,M,090100800500000030000200000403060000000700100000000200900043060010000700000000000,gfroyle/gsf,115
VII,8,18,M,090200800500000030000100000403060000000700100000000200900043060010000700000000000,gfroyle/gsf,116
#
Last edited by Ocean on Sat Sep 15, 2007 8:56 pm, edited 53 times in total.
Ocean

Posts: 442
Joined: 29 August 2005

Post reserved for collections of lowstepper puzzles, sorted chronologically by submission (so post #1 can be kept at a decent size).

I. Puzzles collected from the 'inferior puzzles thread' :
Code: Select all
`##Chronologically by submission. #Referential numbers will be added#Format will be modified (if necessary) to support automatic treatment by gsf's program.##001 Ocean (3 steps) +-------+-------+-------+ | 9 4 . | . . 3 | 7  .. | | 5 . . | . 6 . | 3 . . | | . . . | . . 1 | . . 9 | +-------+-------+-------+ | . 6 . | . . 9 | 5 2 . | | . . . | 8 . 6 | . . . | | . 8 4 | 2 . . | . 1 . | +-------+-------+-------+ | 7 . . | 1 . . | . . . | | . . 3 | . 2 . | . . 7 | | . . 5 | 7 . . | . 4 2 | +-------+-------+-------+  ##002 vidarino. Anyway, here's a 4-stepper from me: +-------+-------+-------+ | . 3 . | 9 7 . | 8 . . | | . . 1 | . . . | . . . | | 8 9 . | 3 . . | 4 2 . | +-------+-------+-------+ | 5 6 2 | 8 . . | . . . | | . . . | . . . | . . . | | . . . | . . 9 | 5 4 6 | +-------+-------+-------+ | . 1 6 | . . 7 | . 9 5 | | . . . | . . . | 7 . . | | . . 9 | . 4 6 | . 1 . | +-------+-------+-------+ #It would become a 3-stepper if I added a clue to the center cell, but then it wouldn't be minimal anymore, so... ##This would not count as it has >30 cells...... #003 vidarino It is a 3 stepper (6,24,18)  . . . | 5 . 3 | . . .   4 . 5 | 1 . 2 | 3 . 9   6 . 3 | . . . | 1 . 2  -------+-------+------  . 1 . | 2 . 9 | . 8 .   . . . | . 1 . | . . .   . 5 . | 7 . 4 | . 9 .  -------+-------+------  7 . 9 | . . . | 8 . 4   8 . 4 | 6 . 1 | 2 . 5   . . . | 4 . 7 | . . .   ##004 vidarino OK, just for sh*ts and giggles, here is a 1-stepper. It has no less than 48 givens, so it's way out of the "competition", but interestingly, it *is* minimal. You can't remove a set of clues without breaking the (all-axis) symmetry or losing the unique solution.  | 3 . 5 | 2 . 8 | 9 . 4 | | . 8 7 | 9 . 4 | 1 6 . | | 9 6 . | 3 . 1 | . 2 5 | +-------+-------+-------+ | 5 9 8 | . . . | 3 1 2 | | . . . | . . . | . . . | | 1 2 3 | . . . | 7 4 6 | +-------+-------+-------+ | 8 3 . | 4 . 6 | . 5 7 | | . 4 2 | 5 . 9 | 6 3 . | | 6 . 1 | 7 . 3 | 4 . 8 |  # #005 vidarino And a 30-clued 3-stepper: +-------+-------+-------+ | . 6 . | . . . | . 7 . | | . . . | 3 . 5 | . . . | | 3 1 . | 4 . 6 | . 8 9 | +-------+-------+-------+ | . 4 2 | . . . | 7 9 . | | . . . | 1 . 7 | . . . | | . 9 1 | . . . | 5 6 . | +-------+-------+-------+ | 4 2 . | 8 . 9 | . 5 6 | | . . . | 5 . 2 | . . . | | . 3 . | . . . | . 4 . | +-------+-------+-------+ ##006 tarek This is a 28-clue 4-stepper Empty centre boxe, rotational & diagonal reflective symmetry ( a 6 in the centre would turn it to a 3 stepper, but that will not please vidar  )  . 7 . | . . 8 | 6 . .   9 . 5 | . . 4 | 3 . .   . 1 . | . . 3 | . 4 8  -------+-------+------  . . . | . . . | 7 3 9   . . . | . . . | . . .   1 9 4 | . . . | . . .  -------+-------+------  8 3 . | 9 . . | . 2 .   . . 6 | 2 . . | 8 . 4   . . 9 | 5 . . | . 6 .   ###007# vidarino A few more 3-steppers, one of which is particularly nice to look at: +-------+-------+-------+ | . . . | 9 8 2 | . . . | | . 2 1 | . . . | 7 8 . | | . 5 . | . . . | . 4 . | +-------+-------+-------+ | 9 . . | . 7 . | . . 5 | | 1 . . | 3 6 8 | . . 2 | | 6 . . | . 5 . | . . 1 | +-------+-------+-------+ | . 1 . | . . . | . 6 . | | . 8 3 | . . . | 5 1 . | | . . . | 5 1 4 | . . . | +-------+-------+-------+ ###008+-------+-------+-------+ | . . 7 | . . . | 9 . . | | . . . | 6 5 8 | . . . | | 5 . 3 | . . . | 6 . 4 | +-------+-------+-------+ | . 1 . | 2 . 5 | . 7 . | | . 5 . | . 3 . | . 6 . | | . 6 . | 4 . 9 | . 8 . | +-------+-------+-------+ | 9 . 1 | . . . | 2 . 7 | | . . . | 1 4 7 | . . . | | . . 6 | . . . | 5 . . | +-------+-------+-------+ ###009+-------+-------+-------+ | 5 6 . | . . . | . 2 4 | | 8 . . | . . . | . . 7 | | . . 2 | 1 . 6 | 5 . . | +-------+-------+-------+ | . . 1 | . 4 . | 7 . . | | . . . | 3 1 7 | . . . | | . . 9 | . 5 . | 3 . . | +-------+-------+-------+ | . . 5 | 4 . 9 | 8 . . | | 2 . . | . . . | . . 6 | | 9 7 . | . . . | . 3 1 | +-------+-------+-------+ # #010#Ruud Here is a 4-Stepper with only 24 clues. And yes, it is minimal symmetric. . . .|7 1 .|. 3 . 3 . .|. . .|. 2 . 2 9 .|6 . .|. . . -----+-----+----- 1 . 2|3 . .|. . 9 . . .|. . .|. . . 4 . .|. . 8|5 . 7 -----+-----+----- . . .|. . 9|. 6 8 . 7 .|. . .|. . 1 . 3 .|. 4 5|. . . ###011#Ruud And a 22-Clue 5-Stepper: . . .|. . .|6 8 . 2 . .|3 7 .|. . . . . .|9 . .|. 5 . -----+-----+----- . . 4|7 . .|. . 3 . 8 .|. . .|. 1 . 6 . .|. . 5|4 . . -----+-----+----- . 7 .|. . 2|. . . . . .|. 5 6|. . 9 . 1 3|. . .|. . . ###012# JPF Here are 4-steppers “minimal symmetric” but not minimal. .  . . | 2 . . | 7 . 6  . 8 . | . . . | . 1 5  . . 5 | . 8 9 | . . . -------+-------+-------  6 . . | 9 2 . | . . .  5 . 9 | . . . | 2 . 7  . . . | . 1 5 | . . 3 -------+-------+-------  . . . | 4 7 . | 8 . .  8 2 . | . . . | . 3 .  1 . 3 | . . 2 | . . . # 4 steps : 10,15,17,11 ###013#JPF 8 . . | . . . | . 9 4  . 4 . | . . . | . . 6  . . . | 5 3 . | 1 2 . -------+-------+-------  7 . . | 4 1 . | . . .  . . 5 | . 2 . | 8 . .  . . . | . 6 3 | . . 9 -------+-------+-------  . 3 9 | . 8 7 | . . .  4 . . | . . . | . 3 .  2 5 . | . . . | . . 7 ## 4 steps : 13,20,15,6 ###014#JPF 9 . 8 | . . . | . . .  . 5 . | 6 . . | 7 . 9  . . . | 2 8 . | 5 . . -------+-------+-------  . 9 5 | . 2 . | . . 7  2 . . | . . . | . . 6  7 . . | . 4 . | 8 3 . -------+-------+-------  . . 7 | . 1 2 | . . .  8 . 1 | . . 4 | . 7 .  . . . | . . . | 2 . 3 #4 steps : 14,12,19,8 # ##015#JPF 4 steps - 27 clues  . . 3 | . . 7 | . . 8  . . 1 | 4 . . | . . .  2 7 6 | . . . | . . 4 -------+-------+-------  5 . . | . 4 . | . . .  . . 8 | 1 7 9 | 6 . .  . . . | . 2 . | . . 1 -------+-------+-------  6 . . | . . . | 9 1 7  . . . | . . 6 | 5 . .  8 . . | 5 . . | 3 . . #4 steps : (12,16,15,11) ###016# Ocean This one apparently fills a gap, a two-stepper (36 clues, minimal with respect to its full symmetry): +-------+-------+-------+ | 7 . . | 9 3 5 | . . 6 | | . . 5 | . 7 . | 9 . . | | . 9 . | 8 . 1 | . 2 . | +-------+-------+-------+ | 9 . 3 | . . . | 5 . 2 | | 4 2 . | . . . | . 8 3 | | 8 . 6 | . . . | 1 . 9 | +-------+-------+-------+ | . 7 . | 4 . 3 | . 5 . | | . . 9 | . 5 . | 3 . . | | 5 . . | 6 2 7 | . . 4 | +-------+-------+-------+  # ##017# JPF Sorry, a mix : a 2-stepper (34 clues, not symmetric, not minimal)  . . 2 | . . . | . 6 5  7 6 . | 4 . . | . 9 .  . . 8 | 5 . 7 | 1 . . -------+-------+-------  . . . | . 8 3 | 6 . .  . 9 7 | . . . | 3 5 .  . 4 . | 6 5 9 | . . . -------+-------+-------  1 . 6 | . . . | 4 3 2  3 7 . | 2 1 . | . . .  . 5 . | . 3 . | . . 1 ## Ruud We could start here with the lowsteppers: ##018#17-clues (minimal) non-symmetrical 8-steppers . . .|1 . .|. 6 . 3 . .|. . .|2 . . 5 . .|. . .|. . . -----+-----+----- . 1 7|. . .|. . . . . .|. . 3|8 . . . . .|. . .|. . . -----+-----+----- . 6 .|7 1 .|. 4 . 2 . .|. . .|3 . . . . .|6 . .|5 . . ###019. 1 .|. . .|7 . . . . .|. . 4|. . . . . .|. 6 .|. . . -----+-----+----- 5 . 4|. . .|. 6 . . . .|1 2 .|. . . 6 . .|3 . .|. . . -----+-----+----- 4 . .|. . 8|. . . . . .|. . .|3 . 5 . . .|7 . .|1 . . #From Gordon Royle's collection. ###020#Ruud And to close the new gap: 21 clues minimal symmetrical 7-stepper. . . .|. . 6|. 5 8 . . 9|2 . .|. . . . 5 .|. . .|. 3 . -----+-----+----- 6 . .|. 1 .|. . . . . 4|. 9 .|2 . . . . .|. 4 .|. . 7 -----+-----+----- . 7 .|. . .|. 1 . . . .|. . 5|4 . . 3 2 .|9 . .|. . . #(from my own collection) ###021#Ruud and a replacement: 21-clues minimal symmetrical 6-stepper. . . .|. 4 .|2 . . 7 9 .|. . .|. . . . 5 1|. . 9|. . . -----+-----+----- 8 6 .|. . .|. . . . . .|7 8 2|. . . . . .|. . .|. 2 5 -----+-----+----- . . .|5 . .|6 9 . . . .|. . .|. 5 3 . . 7|. 1 .|. . . #also from my own microbrewery  ###022# JPF a 1-stepper (46 clues with some symmetry)  4 . . | 8 6 1 | 5 . .  5 . . | 9 7 . | 3 8 .  2 9 . | 4 . . | 1 7 . -------+-------+-------  . 5 7 | 2 . . | 6 . 3  . 1 2 | 5 . 4 | 8 9 .  3 . 4 | . . 6 | 2 1 . -------+-------+-------  . 4 5 | . . 7 | . 6 1  . 2 9 | . 4 5 | . . 8  . . 6 | 1 8 9 | . . 2 ###023# Ocean A little more gap-filling: 22 clues, minimal and symmetric (8 steps): +-------+-------+-------+ | 5 . . | . . . | . . 8 | | . . . | . . . | 3 . . | | . 7 . | 4 . 1 | . 9 . | +-------+-------+-------+ | . . 4 | . 6 . | 5 . . | | . . . | 5 . 9 | . . . | | . . 3 | . 7 . | 8 . . | +-------+-------+-------+ | . 9 . | 1 . 6 | . 7 . | | . . 8 | . . . | . . . | | 3 . . | . . . | . . 1 | +-------+-------+-------+  ###024# Ocean 18 clues, minimal (7 steps) +-------+-------+-------+ | . 1 . | . 2 3 | . . . | | . . . | . . . | . 4 5 | | . . . | . . . | . . . | +-------+-------+-------+ | 4 . 6 | . . . | . . . | | . . . | . 6 . | 3 . . | | 5 . . | . . . | . 7 . | +-------+-------+-------+ | . . . | 4 1 . | . 6 . | | . 3 . | . . . | 2 . . | | 1 . . | . 8 . | . . . | +-------+-------+-------+  ###025#Ocean 19 clues, minimal (6 steps): +-------+-------+-------+ | . 1 . | 2 . . | . . . | | . . . | . . . | 7 . 3 | | . . 6 | . . . | 4 . . | +-------+-------+-------+ | . . . | 5 . . | . 9 7 | | 4 . . | . . . | 8 . . | | . . . | 1 . . | . . . | +-------+-------+-------+ | . 5 . | . . 6 | . 1 . | | 7 . . | . 4 . | . . . | | . . . | . 8 . | . . 9 | +-------+-------+-------+  ###026# JPF A new 1-stepper (42 clues with some symmetry) :  1 7 8 | 5 6 . | . . .  9 4 . | 7 8 3 | . . .  3 . . | . . . | 8 7 2 -------+-------+-------  . . 7 | 3 . 8 | 2 . 9  . 9 1 | . . . | 5 4 .  2 . 5 | 9 . 1 | 6 . . -------+-------+-------  7 8 4 | . . . | . . 1  . . . | 1 7 6 | . 3 8  . . . | . 9 4 | 7 2 5 # ##027# Ocean Found a 32-clue 2-stepper, full symmetric (and 'symmetrically minimal'): +-------+-------+-------+ | . 4 . | . . . | . 7 . | | 5 1 . | . 3 . | . 2 4 | | . . . | 2 8 4 | . . . | +-------+-------+-------+ | . . 1 | 6 . 3 | 9 . . | | . 3 4 | . . . | 5 1 . | | . . 2 | 4 . 7 | 8 . . | +-------+-------+-------+ | . . . | 5 4 6 | . . . | | 7 8 . | . 2 . | . 3 6 | | . 9 . | . . . | . 5 . | +-------+-------+-------+  ###028# Ruud Here is a 20-clue minimal + symmetrical 8-stepper for the list. 3 . .|. . .|. 2 . . 1 .|9 8 .|. . . . . .|. . 6|8 . . -----+-----+----- . . .|. . .|9 7 8 . . .|. . .|. . . 6 5 2|. . .|. . . -----+-----+----- . . 1|4 . .|. . . . . .|. 7 2|. 5 . . 9 .|. . .|. . 1 ###029# JPF a 1-stepper again , still with 42 clues and with some symmetry.  1 6 . | . 3 7 | 9 . .  . 8 . | . . . | 4 7 1  . 4 . | 8 1 5 | . . . -------+-------+-------  9 . 4 | . 2 . | 7 . 3  3 . 6 | 5 . 9 | 1 . 8  8 . 7 | . 6 . | 5 . 2 -------+-------+-------  . . . | 2 8 3 | . 5 .  6 9 8 | . . . | . 2 .  . . 5 | 9 4 . | . 1 7 ###030# Ocean A 44-clue 1-stepper, full symmetry, symmetrically minimal. +-------+-------+-------+ | . 6 5 | 2 . 7 | 9 3 . | | 1 . . | 5 . 8 | . . 4 | | 7 . 9 | 3 . 6 | 2 . 8 | +-------+-------+-------+ | 5 1 3 | . . . | 6 8 2 | | . . . | . . . | . . . | | 4 9 6 | . . . | 3 1 7 | +-------+-------+-------+ | 9 . 8 | 6 . 1 | 4 . 5 | | 3 . . | 7 . 2 | . . 6 | | . 2 1 | 4 . 9 | 8 7 . | +-------+-------+-------+  ###Ocean Also 3 more 44-clues symmetrically minimal one-steppers. But the first one (above) is 'the most overdetermined': ##031608703902020408050503209406286000594000000000415000837704901308060305070109806205 ##032004107300002893500590204087259000741010000050738000692380502016001386200005901400 ##033046208530720403096800509007234000169000000000579000382400705003190304058058601270 ###034# JPF a brand-new 1-stepper with 40 clues, somme symmetry, but not symmetrically minimal.  3 2 6 | . 8 7 | 4 . .  . 7 . | . . . | 8 9 2  5 8 . | . 4 1 | . . . -------+-------+-------  . 3 . | 7 . 6 | . . 1  4 . 1 | . . . | 7 . 9  2 . . | 4 . 5 | . 3 . -------+-------+-------  . . . | 6 5 . | . 2 4  9 5 2 | . . . | . 8 .  . . 8 | 1 2 . | 5 7 3 ## Ocean For the 'very easy' ones: These are about the easiest you can get: ## - Ten one-steppers: # ##035076205340209407608510603029652000137000000000387000964160304092703908406098102570 ##036096108240802706103130204065265000489000000000978000316720405038601903704054807920 ##037081502670607309805520607043278000316000000000413000957150406038806701504094805260 ##038017209350908501204620803091192000875000000000546000913250407036704306509061902480 ##039092107350805309602160502097928000134000000000634000785780203046306708901059406870 ##040390215064204603805060704090936000578800000001152000436080902050405107609710568043 ##041052804960108509704490601035731000258000000000546000193820107049904203607073408510 ##042083705920506901803790803056218000749000000000475000361950604038607102405024309610 ##043001867500087201940650409087943000721200000005875000364730506018068103270004798600 ##044018409370205306108740801095482000936000000000356000781120705069807902503039108420 # # - 30 two-steppers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even three-steppers: # ##075970000063100070008000205000005802600020000010006903400000109000500040009860000041 ##076060103050340080092000000000100602003070000040900305008000000000580020037030406010 ##077860000025200010008000708000003070800050603040007050600000905000100030009520000086 ##078002000500000261000407000906020705010080000050090104080905000708000937000006000200 ##079000629000072000180050000060900102004100000008700804005080000030037000290000531000 ##080020000060350010047000906000005309800080000070001502400000107000970040085060000090 ##081008040300000905000605000701020103060900000007050207040309000104000802000006010800 # ##082 # tarek if minimality is not an issue... this 43-cell 1 stepper 5 7 . | . . 8 | . 9 .   4 . 8 | 9 6 1 | 5 7 .   6 3 9 | 4 . . | . . .  -------+-------+------  . 6 5 | 3 2 . | 8 . .   1 . . | . 5 . | . . 4   . . 7 | . 8 9 | 3 6 .  -------+-------+------  . . . | . . 3 | 2 4 8   . 9 2 | 8 4 7 | 6 . 1   . 5 . | 6 . . | . 3 9  ###083# tarek contains this 35-cell 2 stepper 5 7 . | . . . | . 9 .   4 . 8 | 9 6 1 | . . .   6 3 9 | 4 . . | . . .  -------+-------+------  . . 5 | 3 2 . | 8 . .   1 . . | . 5 . | . . 4   . . 7 | . 8 9 | 3 . .  -------+-------+------  . . . | . . 3 | 2 4 8   . . . | 8 4 7 | 6 . 1   . 5 . | . . . | . 3 9   ###084#tarek and this 29-cell 3 stepper . 7 . | . . . | . 9 .   4 . 8 | 9 6 1 | . . .   6 2 . | . . . | . . .  -------+-------+------  . . 5 | 3 2 . | 8 . .   1 . . | . 5 . | . . 4   . . 7 | . 8 9 | 3 . .  -------+-------+------  . . . | . . . | . 4 8   . . . | 8 4 7 | 6 . 1   . 5 . | . . . | . 3 .   ###085# Ocean Slow progress with the low-steppers. But here is a minimal 24-clues 5-stepper (full symmetry). +-------+-------+-------+ | . . 4 | 1 . 8 | 7 . . | | . . . | 2 . 6 | . . . | | 7 . . | . . . | . . 6 | +-------+-------+-------+ | 3 7 . | . . . | . 1 2 | | . . . | . . . | . . . | | 4 6 . | . . . | . 5 9 | +-------+-------+-------+ | 5 . . | . . . | . . 3 | | . . . | 7 . 9 | . . . | | . . 2 | 8 . 4 | 9 . . | +-------+-------+-------+ #Five single-steps: 10-15-21-30-24. ###086# Ocean An 8-stepper with 19 clues. Minimal and with rotational symmetry. ...|...|.12 3..|..4|... ...|..5|..6 ---+---+--- ...|...|57. ..6|.3.|4.. .52|...|... ---+---+--- 7..|4..|... ...|6..|..1 83.|...|... # ##087# Ocean Then, at the opposite end, a 5-stepper: M20. 5 steps. ...|...|.1. ..2|...|.34 5..|.67|... ---+---+--- ...|.31|... 7..|...|..5 ...|48.|... ---+---+--- ...|24.|..9 38.|...|6.. .1.|...|... ##088# Ocean And also two more replacements: M20. 6 steps. 000000010002000034400056000000041000600000007000380000000230009780000500010000000 .......1...2....344...56.......41...6.......7...38.......23...978....5...1....... ###090#Ocean M20. 7 steps. 000000010002000034300051000000036000700000002000810000000490007160000500020000000 .......1...2....343...51.......36...7.......2...81.......49...716....5...2....... ###092#ab I found a 32 clue 2 step puzzle. It has full rotational symmetry, but is not symmetric minimal:  . . . | . 9 . | . 2 .  9 3 . | . 4 6 | 1 5 .  . 8 2 | . . . | 7 . .  ------+-------+------  . 7 . | 5 . 8 | . . .  3 5 . | . . . | . 8 6  . . . | 4 . 1 | . 3 .  ------+-------+------  . . 4 | . . . | 9 1 .  . 1 9 | 7 5 . | . 6 2  . 6 . | . 2 . | . . . # ##093# ab What are the latest records for low steppers? There are plenty of 39 clue one steppers in that grid, for example:  1 . . | . 9 7 | . 2 3  9 . . | . . 6 | . 5 .  . . 2 | 3 . . | 7 4 .  ------+-------+------  . 7 . | 5 . 8 | . . 1  3 5 . | . . . | . 8 6  2 . 8 | 4 . . | . 3 .  ------+-------+------  . . 4 | . 8 3 | 9 1 .  . 1 9 | 7 5 . | . . 2  5 6 . | . 2 9 | . . 4 ###094# Ocean Found a 7-stepper with 18 clues, minimal, rotational symmetry: . . .|. . .|. 1 . . . .|. 2 1|. . . . . 3|. . .|. 4 5 -----+-----+----- . . .|. . 6|2 . . . 7 .|. . .|. 8 . . . 4|5 . .|. . . -----+-----+----- 6 2 .|. . .|9 . . . . .|4 8 .|. . . . 9 .|. . .|. . . ##095#Ocean A slight modification gives this 8-stepper (18 clues, minimal, rotational symmetry): .......1.....12.....3....45.....62...7.....8...45.....62....3.....84.....9....... # ##096# ab there's even a 38 clue 1 stepper there:   1 . . | . 9 7 | . 2 3  9 . . | . . 6 | . 5 .  . . 2 | 3 . . | 7 4 .  ------+-------+------  . 7 . | 5 . . | 2 . 1  3 5 . | 9 . . | . 8 6  2 . 8 | 4 . . | . 3 .  ------+-------+------  . . 4 | . 8 3 | 9 1 .  . 1 9 | 7 5 . | . . .  5 6 . | . 2 . | . . 4 ###097#JPF 2 steps, SM, type II symmetry, 36 clues  . . . | . . 8 | 5 1 .  8 . 7 | . 5 3 | . . .  1 . 5 | . 7 9 | 3 4 . -------+-------+-------  6 8 2 | . . . | . . .  . 7 3 | . . . | 4 2 .  . . . | . . . | 8 7 6 -------+-------+-------  . 6 9 | 3 1 . | 2 . 5  . . . | 4 2 . | 9 . 1  . 3 1 | 9 . . | . . . # ##098#JPF 3 steps, SM, type IV symmetry, 30 clues  . 2 . | . 1 . | 5 . .  8 . . | . 6 7 | 9 . .  . . . | . . 5 | . 6 7 -------+-------+-------  . . . | 5 . . | 6 4 .  4 5 . | . . . | . 2 3  . 9 2 | . . 6 | . . . -------+-------+-------  1 8 . | 9 . . | . . .  . . 4 | 2 7 . | . . 8  . . 9 | . 8 . | . 3 . ###099# JPF 3 steps, SM, type III symmetry, 32 clues  4 . . | . . . | . . 2  . 2 8 | 7 . 5 | 6 3 .  . . 1 | . 6 . | 5 . . -------+-------+-------  5 9 . | . . . | . 1 3  . . . | 3 . 9 | . . .  7 1 . | . . . | . 8 6 -------+-------+-------  . . 7 | . 3 . | 1 . .  . 6 5 | 2 . 8 | 3 4 .  8 . . | . . . | . . 7 ###100#JPF 4 steps, SM, type VI symmetry, 26 clues  . 9 2 | . 7 . | . . .  5 . . | 8 . . | . . 9  . . . | . . . | 6 8 5 -------+-------+-------  . . . | 2 9 4 | . . .  . 1 6 | . . . | . . .  . . . | 6 1 5 | . . . -------+-------+-------  . . . | . . . | 7 3 1  2 . . | 7 . . | . . 8  . 3 4 | . 6 . | . . . # ##101#JPF 4 steps, SM, type VII symmetry, 27 clues  . . 3 | 5 4 2 | . 8 .  . . 4 | . . . | . . .  8 7 . | . . . | . 9 . -------+-------+-------  2 . . | 1 . 8 | . 7 5  3 . . | . . . | 2 . .  1 . . | 3 . . | 4 . . -------+-------+-------  . . . | . 5 9 | . . .  5 . 6 | 4 . . | . . 2  . . . | 7 . . | . 5 . ###102# JPF Here are two more for this new list : 2 steps, SM, type III symmetry, 36 clues  . 7 . | . . . | . 1 .  . . 6 | 4 . 9 | 2 . .  . 1 8 | 3 . 5 | 9 6 . -------+-------+-------  3 6 . | 9 . 4 | . 8 5  . . . | . . . | . . .  4 9 . | 8 . 7 | . 2 1 -------+-------+-------  . 5 7 | 2 . 6 | 1 4 .  . . 3 | 7 . 1 | 8 . .  . 2 . | . . . | . 3 . ###103#JPF 2 steps, SM, type IV symmetry, 38 clues  . 3 9 | . . 7 | . 6 .  8 . 5 | 2 . 9 | . 4 1  7 1 . | 4 . 8 | . . . -------+-------+-------  . 2 3 | . . . | 6 7 4  . . . | . . . | . . .  9 7 1 | . . . | 3 2 . -------+-------+-------  . . . | 9 . 4 | . 3 7  1 8 . | 3 . 6 | 2 . 5  . 9 . | 1 . . | 4 8 . # ##104# Ruud This is a lowstepper I found in my new batch: Diagonal (type?) symmetry, SM, 28 clues, 3 stepper. . . 5|. . 9|1 . 2 . . .|. 4 2|. . . 4 . 9|. . 5|. . 6 -----+-----+----- . . .|. . .|4 3 1 . 6 .|. . .|. 8 . 7 5 1|. . .|. . . -----+-----+----- 6 . .|3 . .|7 . 4 . . .|1 9 .|. . . 9 . 3|2 . .|6 . . ## gsf #Red Ed pointed me to gfroyle's 22M puzzle 18 clue collection #here are some notes on the collection #notes on gfroyle's sudoku18 #!sudoku cut=5, #VII,7,18,M,070030000800000500000000100000070943500600000000000000034800070000500600000100000,gfroyle,17921852 #VII,8,18,M,001400000000200050300000700520000060000010900000000000009080104070500000000000300,gfroyle,747618 #VII,8,18,M,002400000000600800700000010130050000000900200000000400090013070004000600000000000,gfroyle,3911523 #VII,8,18,M,003200000000500800900000040410070000000600500000000200090041070002000600000000000,gfroyle,6299657 #VII,8,18,M,003200000000500800900000040410070000000600500000000200090041070005000600000000000,gfroyle,6299658 #VII,8,18,M,009000036020700000800400000036090000000800700000000000000060190700000800400000000,gfroyle,21574539 #VII,8,18,M,009000064020700000800300000046090000000800700000000000000060190700000800300000000,gfroyle,21867336 #VII,8,18,M,050000630900100000000400000032080000000600100000000400700032080100000900000000000,gfroyle,12728116 #VII,8,18,M,080010000500000300000000200000070814300500000000000000014900070000200600000300000,gfroyle,19482472 #VII,8,18,M,090100800500000020000400000302060000000700400000000100900032060010000700000000000,gfroyle,21335141 #VII,8,18,M,090100800500000030000200000403060000000700100000000200900043060010000700000000000,gfroyle,21335154 #VII,8,18,M,090200800500000030000100000403060000000700100000000200900043060010000700000000000,gfroyle,21482277 ##105070030000800000500000000100000070943500600000000000000034800070000500600000100000,gfroyle,17921852 ##106001400000000200050300000700520000060000010900000000000009080104070500000000000300,gfroyle,747618 ##107002400000000600800700000010130050000000900200000000400090013070004000600000000000,gfroyle,3911523 ##108003200000000500800900000040410070000000600500000000200090041070002000600000000000,gfroyle,6299657 ##109003200000000500800900000040410070000000600500000000200090041070005000600000000000,gfroyle,6299658 ##110009000036020700000800400000036090000000800700000000000000060190700000800400000000,gfroyle,21574539 ##111009000064020700000800300000046090000000800700000000000000060190700000800300000000,gfroyle,21867336 ##112050000630900100000000400000032080000000600100000000400700032080100000900000000000,gfroyle,12728116 ##113080010000500000300000000200000070814300500000000000000014900070000200600000300000,gfroyle,19482472 ##114090100800500000020000400000302060000000700400000000100900032060010000700000000000,gfroyle,21335141 ##115090100800500000030000200000403060000000700100000000200900043060010000700000000000,gfroyle,21335154 ##116090200800500000030000100000403060000000700100000000200900043060010000700000000000,gfroyle,21482277 ##gsf here are the low steppers from a background process that's scanned ~250M random symmetric puzzles so far #I don't think these have made it into the table yet #!sudoku cut=5, #I,3,32,SM,000030000004508900058090240070105030503000604020306090092050480006409700000020000,gsf,NEW #I,4,28,SM,000789000006000100070030090800405006704000209600203008050060030002000400000127000,gsf,NEW #I,6,28,SM,000000000034020580080607020005030800020809050009040700010204060048060910000000000,gsf,NEW #I,7,24,SM,400000009030000020000517000002060800001203900009040500000792000070000060800000003,gsf,NEW #I,8,28,SM,000010000002769800080050040070000090319000582050000030090040070005687400000030000,gsf,NEW #II,2,32,SM,000183000071002360020900050850000107400000009603000045060001020085200790000574000,gsf,NEW #II,3,28,SM,058007000040000589010002007602309000000000000000705103700800020481000090000600740,gsf,NEW #II,4,28,SM,000000390900004100130620000070206900008000500003105080000063075007800006062000000,gsf,NEW #II,5,24,SM,100000003009000000008709460001050700000602000004030900067905800000000200800000007,gsf,NEW #II,6,24,SM,030600000009700001000001080008070059000804000120090600060100000400005200000008090,gsf,NEW #II,7,24,SM,000300480900070500280000000000010009060408020100020000000000031002050006037004000,gsf,NEW #II,8,24,SM,000000170150070080600002000001080000020904030000020700000800006080050093049000000,gsf,NEW #III,3,30,SM,030416080070000040200000005007903100600708002008201300300000001090000030040372050,gsf,NEW #III,4,25,SM,000509000008000500701000608400060002000324000500090001603000704007000900000801000,gsf,NEW #III,5,25,SM,000509000008010500701000608400000002000324000500000001603000704007030900000801000,gsf,NEW #III,6,24,SM,009608400013000260000000000400060007000201000100050008000000000032000870006409100,gsf,NEW #III,7,26,SM,000000000103000206000125000070080010310906048040050020000892000906000803000000000,gsf,NEW #III,8,24,SM,400000009030000020000517000002060800501000906009040500000792000070000060800000003,gsf,NEW #IV,2,34,SM,005900030004810007896750000451000000028000960000000174000069852500072300040008700,gsf,NEW #IV,4,28,SM,000000060039500078060082000090060200004905300002030050000710030540003810070000000,gsf,NEW #IV,5,26,SM,000005208004070000080003009000708302010000080608209000300500040000030100207400000,gsf,NEW #IV,6,24,SM,000008500008061000042000007000007018090000020710600000300000450000270600004800000,gsf,NEW #IV,7,24,M,000309800000065000000000504700003068010000050360400001504000000000120000009608000,gsf,NEW #IV,8,25,SM,006004300002700000910200007079000002000010000500000840400006035000007400003500600,gsf,NEW #VI,3,27,SM,000000000003409200980205067000000000000791000207000408010080020036000540050010030,gsf,NEW #VI,4,25,SM,034020960020901050000070000700000003000010000400809001350000012600000005000702000,gsf,NEW #VI,5,24,SM,000968000310000048080000020000000000006020500002301900200000003000256000050040080,gsf,NEW #VI,6,24,SM,000000000000156008074000002080700500056000801090300700068000009000592007000000000,gsf,NEW #VI,7,23,M,007000600000935000000000000800000003690000087000102000400607008006403200900000001,gsf,NEW #VI,8,23,M,000000000009406700020301060052090180000000000007000500730000012000000000500609003,gsf,NEW #VII,3,28,SM,020703000500000900000460050084020003050001600360000709400006000000914008007800040,gsf,NEW #VII,4,25,SM,003109600000007430000000081000700056950000000600002007230000009004080000008520000,gsf,NEW #VII,5,23,SM,040013000200000009000007083000090608600100400407000000000230000005000000031700005 ##117000030000004508900058090240070105030503000604020306090092050480006409700000020000,gsf,NEW ##118000789000006000100070030090800405006704000209600203008050060030002000400000127000,gsf,NEW ##119000000000034020580080607020005030800020809050009040700010204060048060910000000000,gsf,NEW ##120400000009030000020000517000002060800001203900009040500000792000070000060800000003,gsf,NEW ##121000010000002769800080050040070000090319000582050000030090040070005687400000030000,gsf,NEW ##122000183000071002360020900050850000107400000009603000045060001020085200790000574000,gsf,NEW ##123058007000040000589010002007602309000000000000000705103700800020481000090000600740,gsf,NEW ##124000000390900004100130620000070206900008000500003105080000063075007800006062000000,gsf,NEW ##125100000003009000000008709460001050700000602000004030900067905800000000200800000007,gsf,NEW ##126030600000009700001000001080008070059000804000120090600060100000400005200000008090,gsf,NEW ##127000300480900070500280000000000010009060408020100020000000000031002050006037004000,gsf,NEW ##128000000170150070080600002000001080000020904030000020700000800006080050093049000000,gsf,NEW ##129030416080070000040200000005007903100600708002008201300300000001090000030040372050,gsf,NEW ##130000509000008000500701000608400060002000324000500090001603000704007000900000801000,gsf,NEW ##131000509000008010500701000608400000002000324000500000001603000704007030900000801000,gsf,NEW ##132009608400013000260000000000400060007000201000100050008000000000032000870006409100,gsf,NEW ##133000000000103000206000125000070080010310906048040050020000892000906000803000000000,gsf,NEW ##134400000009030000020000517000002060800501000906009040500000792000070000060800000003,gsf,NEW ##135005900030004810007896750000451000000028000960000000174000069852500072300040008700,gsf,NEW ##136000000060039500078060082000090060200004905300002030050000710030540003810070000000,gsf,NEW ##137000005208004070000080003009000708302010000080608209000300500040000030100207400000,gsf,NEW ##138000008500008061000042000007000007018090000020710600000300000450000270600004800000,gsf,NEW ##139000309800000065000000000504700003068010000050360400001504000000000120000009608000,gsf,NEW ##140006004300002700000910200007079000002000010000500000840400006035000007400003500600,gsf,NEW ##141000000000003409200980205067000000000000791000207000408010080020036000540050010030,gsf,NEW ##142034020960020901050000070000700000003000010000400809001350000012600000005000702000,gsf,NEW ##143000968000310000048080000020000000000006020500002301900200000003000256000050040080,gsf,NEW ##144000000000000156008074000002080700500056000801090300700068000009000592007000000000,gsf,NEW ##145007000600000935000000000000800000003690000087000102000400607008006403200900000001,gsf,NEW ##146000000000009406700020301060052090180000000000007000500730000012000000000500609003,gsf,NEW ##147020703000500000900000460050084020003050001600360000709400006000000914008007800040,gsf,NEW ##148003109600000007430000000081000700056950000000600002007230000009004080000008520000,gsf,NEW ##149040013000200000009000007083000090608600100400407000000000230000005000000031700005.gsf.NEW###150#Ocean [M20/F20][S8]...|...|.....1|.2.|3...4.|1.5|.6.---+---+---..3|...|7...8.|...|.4...9|...|2..---+---+---.5.|4.7|.8...2|.1.|9.....|...|...#`

II. Puzzles submitted in this thread:
Code: Select all
`##151#27 clues - no symmetry - 4 steps (Ruud) . . 7|2 . .|. . . . . .|1 5 .|8 . . 5 4 3|. . 7|6 . 2 -----+-----+----- . 9 2|. 6 .|3 . . . . .|. . 3|. 2 1 . . .|. 8 .|. . 5 -----+-----+----- . 6 .|. . 8|. . 4 . . .|. 7 .|. . . 9 . .|. . .|7 . 3 ##152#24 clues - no symmetry - 5 steps (Ruud) 3 . .|. . .|. . . . 7 2|. . 8|. 9 . . 6 .|. 3 2|. 8 . -----+-----+----- . . .|6 . .|. . . . . .|. 5 9|. . 1 . 1 8|. . .|7 . . -----+-----+----- 1 2 .|. . .|5 . . . . .|. . 3|. . . 9 . .|7 . .|1 . 3 ##153#26 clues - diagonal & antidiagonal - 4 steps (Ruud) . 4 .|. 7 9|1 . . 9 . 3|. . .|. . . . 6 .|. . 2|. . 8 -----+-----+----- . . .|. . 3|5 . 4 6 . .|. . .|. . 2 2 . 7|5 . .|. . . -----+-----+----- 5 . .|1 . .|. 7 . . . .|. . .|6 . 5 . . 2|9 6 .|. 1 . ##154#25 clues - diagonal & antidiagonal - 5 steps (Ruud) 6 . 4|5 . .|. 1 . . . .|8 2 .|. . 6 1 . 8|. . .|. . . -----+-----+----- 5 1 .|. . .|. . . . 7 .|. 9 .|. 5 . . . .|. . .|. 4 9 -----+-----+----- . . .|. . .|5 . 7 3 . .|. 6 9|. . . . 6 .|. . 4|9 . 8 ##155#24 clues - diagonal & antidiagonal - 8 steps (Ruud) . 7 .|8 . .|. . . 8 . .|. 6 .|4 . . . . .|2 5 .|. 1 . -----+-----+----- 1 . 6|. . .|. . . . 8 3|. . .|1 5 . . . .|. . .|2 . 3 -----+-----+----- . 4 .|. 2 5|. . . . . 2|. 3 .|. . 8 . . .|. . 7|. 3 . ##156#24 clues - diagonal - 6 steps (Ruud) 9 2 .|6 . .|. . . 5 . .|1 . .|9 . . 8 . 3|. . .|. 5 . -----+-----+----- . . .|7 . 8|. . . . . 2|. . .|. . . . . .|4 . 5|. 8 7 -----+-----+----- . . 5|. 9 .|6 . . . 6 .|. . .|. . 3 . . .|. . .|4 1 8###157#IV,4,26,SM,020000509305001000060008004000040790000706000052010000600400010000500603508000070,gsf,NEW . 2 .  . . .  5 . 9 3 . 5  . . 1  . . . . 6 .  . . 8  . . 4 . . .  . 4 .  7 9 . . . .  7 . 6  . . . . 5 2  . 1 .  . . . 6 . .  4 . .  . 1 . . . .  5 . .  6 . 3 5 . 8  . . .  . 7 . ##158#V,3,28,SM,000035070600000010130020090500683900000000000004912006080090053010000008040760000,gsf,NEW . . .  . 3 5  . 7 . 6 . .  . . .  . 1 . 1 3 .  . 2 .  . 9 . 5 . .  6 8 3  9 . . . . .  . . .  . . . . . 4  9 1 2  . . 6 . 8 .  . 9 .  . 5 3 . 1 .  . . .  . . 8 . 4 .  7 6 .  . . . ##159#VII,6,23,SM,000030080000910000000080201090100600537000090000002400009508000100060000004000007,gsf,NEW . . .  . 3 .  . 8 . . . .  9 1 .  . . . . . .  . 8 .  2 . 1 . 9 .  1 . .  6 . . 5 3 7  . . .  . 9 . . . .  . . 2  4 . . . . 9  5 . 8  . . . 1 . .  . 6 .  . . . . . 4  . . .  . . 7 ##160#III,2,34,SM,000000000803601504105304807650080093000000000270060018904105306302907105000000000,gsf,NEW . . .  . . .  . . . 8 . 3  6 . 1  5 . 4 1 . 5  3 . 4  8 . 7 6 5 .  . 8 .  . 9 3 . . .  . . .  . . . 2 7 .  . 6 .  . 1 8 9 . 4  1 . 5  3 . 6 3 . 2  9 . 7  1 . 5 . . .  . . .  . . . ##161#III,3,28,SM,000000000506000201800236005090402030040000010050809020900753004403000906000000000,gsf,NEW . . .  . . .  . . . 5 . 6  . . .  2 . 1 8 . .  2 3 6  . . 5 . 9 .  4 . 2  . 3 . . 4 .  . . .  . 1 . . 5 .  8 . 9  . 2 . 9 . .  7 5 3  . . 4 4 . 3  . . .  9 . 6 . . .  . . .  . . . ##162#III,7,24,SM,670050028000609000002000100300000005060000040800000001007000600000801000590060072,gsf,NEW 6 7 .  . 5 .  . 2 8 . . .  6 . 9  . . . . . 2  . . .  1 . . 3 . .  . . .  . . 5 . 6 .  . . .  . 4 . 8 . .  . . .  . . 1 . . 7  . . .  6 . . . . .  8 . 1  . . . 5 9 .  . 6 .  . 7 2 ##163#VI,8,22,SM,800007040000000030400039000003500006004000008009800002600012000000000050700003020,gsf,NEW 8 . .  . . 7  . 4 . . . .  . . .  . 3 . 4 . .  . 3 9  . . . . . 3  5 . .  . . 6 . . 4  . . .  . . 8 . . 9  8 . .  . . 2 6 . .  . 1 2  . . . . . .  . . .  . 5 . 7 . .  . . 3  . 2 . ##164#VII,3,25,SM,000085000006000700072090030000076005300004902150000000000000340900200600010950000,gsf,NEW . . .  . 8 5  . . . . . 6  . . .  7 . . . 7 2  . 9 .  . 3 . . . .  . 7 6  . . 5 3 . .  . . 4  9 . 2 1 5 .  . . .  . . . . . .  . . .  3 4 . 9 . .  2 . .  6 . . . 1 .  9 5 .  . . . ###165#VI,7,22,M,000064070409030000001000000000009068900100000000008023008000000306010000000072040,gsf,2006-06-05 . . .  . 6 4  . 7 . 4 . 9  . 3 .  . . . . . 1  . . .  . . . . . .  . . 9  . 6 8 9 . .  1 . .  . . . . . .  . . 8  . 2 3 . . 8  . . .  . . . 3 . 6  . 1 .  . . . . . .  . 7 2  . 4 . ###166 (Ocean)#Type III. 5 steps [P22][S5] [M]...|.1.|.....1|...|2...23|...|45.---+---+---5..|3.6|..7...|...|...8..|2.4|..6---+---+---.54|...|39...2|...|5.....|.7.|...###167 (Ocean)#Type III. 6 steps. [P22][S6][M]...|...|....1.|.2.|.3.4..|5.6|..7---+---+---..2|.1.|8.....|7.9|.....9|.8.|6..---+---+---6..|1.5|..4.8.|.3.|.2....|...|...###168 (Ocean)#Type III. 7 steps. [P22][S7][M]...|...|.....1|.2.|3...24|...|15.---+---+---3..|1.4|..6...|...|...7..|8.5|..4---+---+---.13|...|24...8|.9.|7.....|...|...###169 (Ocean)#Type III. 8 steps. [P22][S8][M]...|...|......|1.2|...3.4|...|5.6---+---+---.1.|.2.|.4.57.|...|.81.9.|.6.|.2.---+---+---1.8|...|4.9...|6.7|......|...|...###170 (JPF)# 2 steps ; 31 clues ; no symmetry  . . 2 | 6 . . | . . 9  4 9 . | . 7 . | 2 . 6  5 . 3 | . 4 . | . 1 . -------+-------+-------  . . . | . . . | 1 . .  . 2 1 | 8 . 9 | . . 4  . 5 . | . . 7 | . 9 . -------+-------+-------  7 . . | . . 3 | . 5 8  . . . | 5 . 1 | 7 . .  3 . . | . 9 6 | . . . ###171 (JPF)#2 steps ; 30 clues ; no symmetry  4 . . | . . . | 5 6 .  . . 3 | 4 . . | . 8 .  5 2 . | . 7 3 | . . . -------+-------+-------  1 . . | . 2 6 | . . .  . . 5 | . . . | 1 . .  . . . | . . 8 | 9 7 5 -------+-------+-------  . 6 . | 9 . 7 | . 3 .  . . 8 | 1 . . | . . .  3 9 1 | . . 4 | . . 2 # ##172 (Ocean)# Type II, 8 steps, 24 clues, minimal. *-----------* |84.|...|..5| |...|.6.|..3| |...|3.7|...| |---+---+---| |..5|4.8|3..| |.1.|...|.8.| |..6|1.3|7..| |---+---+---| |...|6.4|...| |9..|.2.|...| |5..|...|.24| *-----------*###173 (Ocean)# Type II, 6 steps, 24 clues, minimal. *-----------* |..1|.84|9..| |...|...|5..| |37.|...|..6| |---+---+---| |4..|6.1|...| |5..|...|..1| |...|4.2|..9| |---+---+---| |6..|...|.75| |..7|...|...| |..3|12.|8..| *-----------*###174 (JPF)#1 step ; 37 clues ; no symmetry  4 . . | 9 . . | 8 . .  9 . . | 8 1 3 | . . 2  6 . . | . . . | . 1 7 -------+-------+-------  . . 7 | 4 . . | 6 8 .  . 1 4 | . 2 . | 5 . 3  5 3 . | . . 9 | . 7 . -------+-------+-------  . . . | . 4 1 | 3 . 8  . 5 2 | . . . | 7 . 6  . . 8 | 7 6 2 | . . 9 ###175 (Ocean)#Type II. 5 steps, 24 clues, M.  *-----------* |...|...|.1.| |1.2|..3|...| |..4|.2.|35.| |---+---+---| |.8.|.5.|...| |..5|7.2|6..| |...|.6.|.3.| |---+---+---| |.53|.7.|2..| |...|1..|9.8| |.6.|...|...| *-----------*###176 (Ocean)#Type II. 4 steps(23-19-27-28), 24 clues, SM.   *-----------* |...|...|.1.| |123|...|.4.| |...|.56|.7.| |---+---+---| |..2|6.8|...| |..7|...|3..| |...|3.7|8..| |---+---+---| |.8.|21.|...| |.3.|...|756| |.4.|...|...| *-----------*###177 (Ocean)#Type II. 3 steps, 24 clues, SM.   *-----------* |...|..1|23.| |1..|..4|5..| |67.|..8|...| |---+---+---| |268|...|...| |...|...|...| |...|...|497| |---+---+---| |...|5..|.81| |..4|7..|..3| |.93|6..|...| *-----------*##two more #improvements seem to be < 1 per day now ##178 (gsf)#VI,5,23,SM,900000005010000090020106040005904300700050002060000010140000067000302000000000000,gsf,2006-06-06 9 . .  . . .  . . 5 . 1 .  . . .  . 9 . . 2 .  1 . 6  . 4 . . . 5  9 . 4  3 . . 7 . .  . 5 .  . . 2 . 6 .  . . .  . 1 . 1 4 .  . . .  . 6 7 . . .  3 . 2  . . . . . .  . . .  . . . ###179 (gsf)#I,6,24,SM,007000400000104000302000905060080030000709000070050090901000304000506000003000700,gsf,2006-06-08 . . 7  . . .  4 . . . . .  1 . 4  . . . 3 . 2  . . .  9 . 5 . 6 .  . 8 .  . 3 . . . .  7 . 9  . . . . 7 .  . 5 .  . 9 . 9 . 1  . . .  3 . 4 . . .  5 . 6  . . . . . 3  . . .  7 . . ### 180 (Ocean)#Finally - first absolute minimal four-stepper.#Type II. 4 steps, 24 clues, Minimal. *-----------* |...|..1|.2.| |2.1|..3|...| |..4|..5|67.| |---+---+---| |683|...|...| |...|...|...| |...|...|245| |---+---+---| |.68|2..|9..| |...|8..|4.3| |.9.|7..|...| *-----------*###181 (JPF)# 4 steps ; 26 clues ; no symmetry  2 . . | . . 3 | . . .  . 1 5 | 8 . . | . . .  6 9 . | . . . | 8 . 4 -------+-------+-------  . . . | 4 . . | . . .  . . 2 | 1 . 8 | 5 . .  . . . | . . 9 | . . 6 -------+-------+-------  . . . | . . . | 9 . .  9 . 8 | . 7 . | 1 2 .  . . 7 | . 3 4 | . 8 . ###182 (JPF)# 3 steps ; 27 clues ; no symmetry  . 5 1 | . . . | . 9 7  . 8 . | . 2 . | 4 . 5  . . . | . 4 1 | . . . -------+-------+-------  9 . 7 | 6 . . | . . .  2 . . | . . . | 3 7 .  . . . | . . . | 8 . 4 -------+-------+-------  3 7 . | 2 8 . | 5 . .  . . . | 4 . . | . . 8  . . . | 3 9 . | . . . ##Improvements on type II:##183 (Ocean)#Type II. 8 steps. 20 clues. Minimal.[L20][S8][M]...|..1|23.4..|...|5..56.|.7.|...---+---+---3..|...|.....8|...|9.....|...|..5---+---+---...|.5.|.67..9|...|..4.82|3..|...###184 (Ocean)#Type II. 7 steps. 20 clues. Minimal.[L20][S7][M]...|..1|23.3..|...|4..45.|.6.|...---+---+---9..|...|.....7|...|8.....|...|..4---+---+---...|.4.|.56..8|...|..9.72|3..|...###185 (Ocean)#Type II. 6 steps. 20 clues. Minimal. [L20][S6][M]...|..1|.2.3.4|..5|......|..6|.7.---+---+---528|...|......|...|......|...|314---+---+---.1.|2..|......|3..|5.8.6.|7..|...###186 (JPF)#To open new fields : #Type VI, 1 step, 44 clues  . . 7 | 1 . . | . 3 6  . 9 . | . 4 6 | 2 5 .  5 2 6 | . 7 . | . . 8 -------+-------+-------  1 . 8 | 7 5 . | 3 . 4  9 . . | . . 8 | 7 2 .  7 . 2 | 9 1 . | 6 . 5 -------+-------+-------  2 8 9 | . 6 . | . . 3  . 7 . | . 8 3 | 4 1 .  . . 3 | 5 . . | . 6 2 ###187 (JPF)#Type VII, 1 step, 40 clues  1 5 . | . . . | . 2 8  9 4 . | 8 7 . | 5 3 .  . . 8 | 1 . 6 | . . 7 -------+-------+-------  . 3 1 | . . 4 | 8 . .  . 7 . | . 6 8 | . 5 .  . . 4 | 5 9 . | 2 7 . -------+-------+-------  . 1 . | 2 . 3 | . 9 6  8 6 . | . 4 5 | 7 . .  4 . 2 | . . . | 3 . . # ##188 (JPF)#Some more new entries : #Type VI, 2 steps, 35 clues  . 2 . | . 8 . | . . 4  . . . | . 9 . | 1 6 .  5 . 9 | 1 . 7 | 3 2 . -------+-------+-------  2 . . | 6 . . | . 3 .  3 . 8 | 5 . . | . 4 1  4 . . | 8 . . | . 7 . -------+-------+-------  1 . 4 | 7 . 3 | 2 9 .  . . . | . 6 . | 7 8 .  . 7 . | . 2 . | . . 3 ###189 (JPF)#Type VII, 2 steps, 34 clues  7 4 . | . . 6 | . 1 .  8 . 9 | . . . | 3 6 .  . 6 . | 7 1 . | 8 . . -------+-------+-------  . . 1 | . . 4 | . . 6  . . 6 | . 7 . | . 3 5  4 . . | 8 . 9 | . 7 . -------+-------+-------  . 5 8 | . . . | 7 . 3  3 2 . | . 4 8 | . . .  . . . | 3 5 . | 1 . . ###190 (JPF)#Type IV, 1 step, 45 clues  6 7 . | 4 . 3 | . 1 .  5 . 4 | 2 . . | 7 8 3  . 8 . | . 5 . | 2 4 . -------+-------+-------  3 9 . | 5 4 . | . . 1  . . 8 | 7 9 2 | 3 . .  4 . . | . 1 6 | . 7 8 -------+-------+-------  . 4 9 | . 3 . | . 6 .  2 3 1 | . . 4 | 8 . 5  . 5 . | 9 . 1 | . 3 7 ###191 (gsf)#still ~1/day #V,3,26,SM,080000024050009000014750000008040600000102000002060700000015360000300090590000040,gsf,2006-06-10 . 8 .  . . .  . 2 4 . 5 .  . . 9  . . . . 1 4  7 5 .  . . . . . 8  . 4 .  6 . . . . .  1 . 2  . . . . . 2  . 6 .  7 . . . . .  . 1 5  3 6 . . . .  3 . .  . 9 . 5 9 .  . . .  . 4 . ###192 (JPF)#2 Improvements : #Type VI ; 1 step ; 41 clues  . . 9 | . 7 3 | 1 . .  . 1 . | 4 9 . | . . 5  7 . 4 | 2 . . | 3 . 8 -------+-------+-------  4 3 . | . . 8 | . 6 1  6 5 . | 9 3 . | 4 . .  2 9 . | . . 4 | . 7 3 -------+-------+-------  3 . 5 | 6 . . | 8 . 9  . 8 . | 7 5 . | . . 4  . . 2 | . 8 1 | 6 . . ###193 (JPF)#3 steps ; 26 clues ; no symmetry (Type 0)  . 5 4 | . 7 6 | . . .  1 . . | . . . | 2 . .  . . 9 | . 4 . | . . . -------+-------+-------  . . . | . . 7 | . 6 .  . . 8 | . . 9 | . . 5  7 . 1 | . . 8 | . 9 . -------+-------+-------  . . . | . 5 1 | . . .  4 . . | . 9 2 | 3 . .  2 3 . | . . . | 7 . . ##194 (JPF)#Type IV ; 1 step ; 43 clues  3 2 1 | 6 . 5 | . . 7  4 . . | . . 8 | . 3 .  9 . 5 | 2 7 . | 6 . . -------+-------+-------  2 . 9 | . 5 . | . 8 1  . . 6 | 1 9 4 | 2 . .  1 7 . | . 3 . | 9 . 6 -------+-------+-------  . . 8 | . 2 1 | 7 . 5  . 4 . | 5 . . | . . 8  5 . . | 4 . 7 | 3 6 9 ###195 (JPF)#2 steps ; 29 clues ; no symmetry (Type 0)  . 4 . | 7 . . | 2 . .  . 8 2 | . . 1 | 6 . 4  . . . | . 4 . | . . 3 -------+-------+-------  2 3 . | 4 . . | . 7 .  . 9 . | 8 6 3 | . 4 .  . . . | . . . | 1 . . -------+-------+-------  . . 1 | 9 7 5 | . . .  3 . 6 | . . . | . . .  . . 8 | 2 . . | . 5 . ###196 (gsf)#IV,2,32,SM,002806030000004809600095070800000354006000700591000006010670008309100000040209600,gsf,2006-06-10:21:56 . . 2  8 . 6  . 3 . . . .  . . 4  8 . 9 6 . .  . 9 5  . 7 . 8 . .  . . .  3 5 4 . . 6  . . .  7 . . 5 9 1  . . .  . . 6 . 1 .  6 7 .  . . 8 3 . 9  1 . .  . . . . 4 .  2 . 9  6 . . ###197 (gsf)#VI,6,23,SM,000008000000035810067000000002060503000040000005080907049000000000051280000009000,gsf,2006-06-11:02:09 . . .  . . 8  . . . . . .  . 3 5  8 1 . . 6 7  . . .  . . . . . 2  . 6 .  5 . 3 . . .  . 4 .  . . . . . 5  . 8 .  9 . 7 . 4 9  . . .  . . . . . .  . 5 1  2 8 . . . .  . . 9  . . . ###198 (gsf)#II,1,41,-,100900873806005000200781050098040207003526900604090310060278009000300601352009004,gsf,2006-06-11:02:0 1 . .  9 . .  8 7 3 8 . 6  . . 5  . . . 2 . .  7 8 1  . 5 . . 9 8  . 4 .  2 . 7 . . 3  5 2 6  9 . . 6 . 4  . 9 .  3 1 . . 6 .  2 7 8  . . 9 . . .  3 . .  6 . 1 3 5 2  . . 9  . . 4 ## Two puzzles with double diagonal symmetry.##199 (Ocean)# Type IV. 8 steps. 20 clues. Minimal. *-----------* |...|..1|.23| |..1|...|..4| |.5.|.2.|...| |---+---+---| |...|6..|..7| |..8|...|5..| |3..|..8|...| |---+---+---| |...|.5.|.8.| |5..|...|9..| |26.|7..|...| *-----------*###200 (Ocean)# Type IV. 7 steps. 20 clues. Minimal. *-----------* |...|..1|.23| |..2|...|..4| |.5.|.6.|...| |---+---+---| |...|3..|..7| |..8|...|2..| |6..|..7|...| |---+---+---| |...|.2.|.5.| |1..|...|6..| |74.|8..|...| *-----------*### 201 (JPF)#1 step ; 36 clues ; no symmetry (type 0) #this one :  3 . . | . . 7 | 1 9 .  2 . . | 8 . 6 | . . .  4 5 9 | . . . | . 6 . -------+-------+-------  9 . 6 | . . 1 | . 5 4  . . . | . 3 . | 2 . .  . . 7 | 2 . 4 | 8 1 9 -------+-------+-------  . 4 . | 1 5 . | . . 3  . 8 5 | . 2 . | 9 . 7  6 . . | 4 . 8 | . . . ###202 (JPF)#or this one :  2 3 . | 7 . . | 8 . .  . . . | 6 . 9 | . 5 1  1 . . | . . . | 4 3 . -------+-------+-------  . 7 8 | . 1 5 | . 4 3  9 . . | . 8 . | 1 . 6  . 4 . | . . . | . . 2 -------+-------+-------  . . 3 | . 6 2 | . 9 4  8 2 7 | 3 . . | . . .  4 6 . | 1 5 . | . . . ##203-220 (JPF)#Some 1 steppers, 37 clues , type 0 : #702600019503007000000823060900031850054080670017040020201000007000309482090205000 860305009005074002009008300002000840638009070070600005904850763100230500700400100 054300007700100043610900502300820470001060809570000200809503000200090051100047600 020600000001080540300921780064700000900250003850006209400193820080000634500004010 410000052300420069000068000000907208047200003005310796060540000100003670859001300 740001300012000680000729050060500740308090005090102000480000030007630920620950401 367000910080090406005081000070562030003000647091003080800400071500900302026105000 002634000008001570490058302003900681007310020065000009320047010070000000506803900 286009400009510800000000670635900000090000732100084000002468050500273901470100008 681004090003080500004003128048710630050940080060000057890001000000539072700002004 600000450591080070824003900042090106000076090005408020073500002080140600100030709 032590007050080962080700050490063000021000800605004100009208074067050003203010008 390000065050190024060200080004003000020871009805640013087054600006000790109008400 640050091703008054800092000010000739000670002530210008020000687008705900409030100 000045006007830501830090002903100648060580000020000730076209010382006000001070064 080600000000002950040185270010728090829003600350000400102076000690530001004009803 090076000006380071000100240704900513200704009800035000040291705001040680523000000 060090704201040069009370051983000100006002030700005800430600000502814600010700902 ###221 (JPF) #4 steps ; 25 clues ; no symmetry (type 0)  . . . | 8 . . | . . .  7 . . | . . 5 | 1 8 .  . 6 4 | . . . | . 3 . -------+-------+-------  . . . | . 1 4 | . . .  . . 6 | . . . | . 7 9  . 5 . | . 9 2 | . . . -------+-------+-------  1 7 8 | . . . | . . 2  2 . . | 9 3 . | . . 6  . . . | 1 . . | . . . ###222 (JPF)#Type IV ; 1 step ; 41 clues  . . 7 | . 2 . | 9 5 4  . 1 . | . 5 9 | . 3 7  4 . . | 8 . 3 | . . 2 -------+-------+-------  . . 2 | 3 . . | 1 8 .  1 4 . | . 8 . | . 9 6  . 6 5 | . . 7 | 4 . . -------+-------+-------  5 . . | 2 . 6 | . . 8  6 2 . | 1 3 . | . 7 .  9 3 8 | . 4 . | 2 . . ###223 (JPF)#a new entry ; the last one ? #type III ; 1 step ; 44 clues  2 . 8 | 5 3 7 | 4 . 6  . . . | 8 1 9 | . . .  5 3 . | . 4 . | . 7 8 -------+-------+-------  1 . 6 | . 8 . | 2 . 4  . . 3 | 2 . 1 | 6 . .  8 . 7 | . 6 . | 9 . 5 -------+-------+-------  7 4 . | . 5 . | . 6 9  . . . | 9 2 6 | . . .  9 . 1 | 4 7 8 | 5 . 3 ###224 (gsf)#another improvement #VII,6,22,M,000000030000305809006001070700000240430900000000020060200000500000090000005014000,gsf,2006-06-12:18:16 . . .  . . .  . 3 . . . .  3 . 5  8 . 9 . . 6  . . 1  . 7 . 7 . .  . . .  2 4 . 4 3 .  9 . .  . . . . . .  . 2 .  . 6 . 2 . .  . . .  5 . . . . .  . 9 .  . . . . . 5  . 1 4  . . . ###225 (Ocean)#An improvement (5-stepper, diagonal symmetry): # Type VII, 5 steps. 22 clues. Minimal. 1 2 .|. 3 4|. . . 5 . .|. . .|6 . . . . 3|. . .|7 . . -----+-----+----- . . .|. . 8|. 1 . 3 . .|. . .|. 2 8 2 . .|7 . .|. . . -----+-----+----- . 8 9|. . .|. . 3 . . .|4 5 .|. . . . . .|. 1 .|9 . . ###226 (gsf)#a new 1 stepper improvement and 2 others #II,1,40,-,800001905000863700624000300740295080090306050050147092009000841001578000203900006,gsf,2006-06-12:16:04 8 . .  . . 1  9 . 5 . . .  8 6 3  7 . . 6 2 4  . . .  3 . . 7 4 .  2 9 5  . 8 . . 9 .  3 . 6  . 5 . . 5 .  1 4 7  . 9 2 . . 9  . . .  8 4 1 . . 1  5 7 8  . . . 2 . 3  9 . .  . . 6 ###227 (gsf)#VI,4,24,SM,000080000904000802003402600870000054020903010000000000005000200000746000030000070,gsf,2006-06-13:15:58 . . .  . 8 .  . . . 9 . 4  . . .  8 . 2 . . 3  4 . 2  6 . . 8 7 .  . . .  . 5 4 . 2 .  9 . 3  . 1 . . . .  . . .  . . . . . 5  . . .  2 . . . . .  7 4 6  . . . . 3 .  . . .  . 7 . ###228 (JPF) #An improvement (2-stepper, 180-degree rotational symmetry) #Type V , 2 steps, 33 clues  . . 7 | 5 6 . | . 1 3  . . 4 | 2 7 . | . . .  . 9 . | . . . | . 5 . -------+-------+-------  9 7 . | . 8 . | . . 6  . 6 1 | . 3 . | 9 2 .  2 . . | . 4 . | . 3 7 -------+-------+-------  . 5 . | . . . | . 9 .  . . . | . 9 7 | 8 . .  6 3 . | . 5 4 | 2 . . ###229 (JPF)#improvement of the day... 2-stepper, horizontal reflection #Type VI, 2 steps, 34 clues  . 4 . | 7 6 2 | . . 1  . . 8 | . . . | . 3 6  . . 7 | . . . | 4 . . -------+-------+-------  1 8 . | . 2 4 | . . 5  9 . 2 | . . 3 | 6 . .  6 7 . | . 1 5 | . . 8 -------+-------+-------  . . 5 | . . . | 2 . .  . . 6 | . . . | . 8 3  . 2 . | 4 3 8 | . . 9 ###230 (JPF)#improvement of the night... #2-stepper, horizontal reflection #Type VI, 2 steps, 33 clues  . . . | 8 . . | . . 5  2 9 1 | . . . | . . .  . 4 8 | 2 6 . | 1 . . -------+-------+-------  6 . . | . 8 . | 4 9 .  9 . . | . 4 . | 6 1 7  1 . . | . 7 . | 5 3 . -------+-------+-------  . 5 6 | 9 1 . | 8 . .  8 7 2 | . . . | . . .  . . . | 5 . . | . . 3 ###231 (gsf)#1 stepper improvement #III,1,42,-,609501408070000010083702950305409607000203000208107509032605180060000090407908302,gsf,2006-06-15:03:45 6 . 9  5 . 1  4 . 8 . 7 .  . . .  . 1 . . 8 3  7 . 2  9 5 . 3 . 5  4 . 9  6 . 7 . . .  2 . 3  . . . 2 . 8  1 . 7  5 . 9 . 3 2  6 . 5  1 8 . . 6 .  . . .  . 9 . 4 . 7  9 . 8  3 . 2 ### 232 (Ocean)# 4 steps. 23 clues. No symmetry.  ..7|1..|8...62|...|93...4|2.7|1..---+---+---...|...|......|.1.|2...3.|456|...---+---+---...|538|.6...9|.7.|......|...|...### 233 (Ocean)# 5 steps. 22 clues. Minimal. No symmetry....|...|......|.1.|2...3.|45.|...---+---+---..2|..6|7...76|...|13...8|9.2|6..---+---+---...|843|.5...1|.2.|......|...|...# ##234 (Ocean)# Type II. 5 steps. 21 clues. Minimal.1.2|...|..3...|1.4|......|..5|..6---+---+---.47|...|.8....|.9.|....8.|...|41.---+---+---3..|6..|......|3.1|...2..|...|5.9 ##Three puzzles with 20 clues. Type IV symmetry (double diagonal). 6-stepper, 7-stepper, 8-stepper. Same pattern.##235 (Ocean)# Type IV, 6 steps, 20 clues, minimal.  *-----------*  |..1|.23|..4|  |...|..4|...|  |5..|...|6..|  |---+---+---|  |...|...|.71|  |6..|...|..3|  |89.|...|...|  |---+---+---|  |..4|...|..7|  |...|3..|...|  |7..|65.|8..|  *-----------* # ##236 (Ocean)# Type IV, 7 steps, 20 clues, minimal.  *-----------*  |..1|.23|..4|  |...|..1|...|  |5..|...|6..|  |---+---+---|  |...|...|.43|  |6..|...|..1|  |72.|...|...|  |---+---+---|  |..4|...|..5|  |...|2..|...|  |8..|69.|7..|  *-----------* # ##237 (Ocean)# Type IV, 8 steps, 20 clues, minimal.  *-----------*  |..1|.23|..4|  |...|..1|...|  |5..|...|6..|  |---+---+---|  |...|...|.43|  |6..|...|..1|  |72.|...|...|  |---+---+---|  |..4|...|..5|  |...|2..|...|  |1..|68.|7..|  *-----------* ###238 (Ocean)#Type II, 5 steps. 20 clues, minimal.1..|...|2.3...|...|4..56.|.7.|...---+---+---...|2.5|.....4|...|8.....|1.3|...---+---+---...|.6.|.71..8|...|...2.3|...|..5###239 (Times/ab)#just stumbled across the first sudoku printed in the Times: #it's a 3 stepper:  . 2 . | 8 1 . | 7 4 .  7 . . | . . 3 | 1 . .  . 9 . | . . 2 | 8 . 5  ------+-------+------  . . 9 | . 4 . | . 8 7  4 . . | 2 . 8 | . . 3  1 6 . | . 3 . | 2 . .  ------+-------+------  3 . 2 | 7 . . | . 6 .  . . 5 | 6 . . | . . 8  . 7 6 | . 5 1 | . 9 . ####239B (Ocean)# Type VI. 8 Steps. 20 clues. Minimal. *-----------* |...|...|...| |...|..1|2..| |13.|.4.|.5.| |---+---+---| |..2|..6|7..| |.53|...|...| |..8|..2|9..| |---+---+---| |98.|.5.|.3.| |...|..7|6..| |...|...|...| *-----------*###240 (JPF)# 1-stepper, 35 clues, no symmetry. 9 4 7 | . . 8 | 1 . .  1 . 3 | . . 6 | 8 2 .  . . . | . . . | . 5 7 -------+-------+-------  . 9 . | 3 4 . | . . 8  6 3 . | . 9 . | . . .  2 1 . | . . . | . 7 9 -------+-------+-------  . . 6 | 8 3 1 | . . .  . . . | 7 . 4 | 2 6 .  5 . 1 | 2 . . | 4 . . ###241 (JPF)# 3-stepper, 25 clues, no symmetry :  . . 7 | . 1 . | . . .  . 6 . | . 2 . | . 8 .  . 8 . | . . . | 9 . 6 -------+-------+-------  . . 2 | 8 . . | . . 9  7 . . | . . 3 | 2 . 1  . 5 . | . . . | 4 . . -------+-------+-------  3 . . | . 6 7 | . . .  . . . | 3 . 5 | . . .  2 9 . | . . . | . 5 . ###242 (JPF)# 2-stepper, 28 clues, no symmetry :  3 1 . | . . 5 | 7 . .  . . 5 | 8 . . | 4 . 1  . 7 . | . 9 . | . . . -------+-------+-------  . . 7 | 9 . . | 5 2 .  . 6 . | . . . | . . .  . 9 . | 1 6 8 | . . . -------+-------+-------  . 4 . | . 3 . | . 6 5  . . 8 | . . . | . 9 .  . . . | 6 . 7 | 1 . . ###243 (JPF)#An improvement (1-stepper, 180-degree rotational symmetry) #Type V , 1 step, 39 clues  3 . . | 4 5 1 | . . .  6 . 9 | . . 2 | 4 . .  1 . . | . . 9 | 5 8 7 -------+-------+-------  5 . 2 | . . 4 | . 3 8  . . 6 | . 3 . | 9 . .  7 1 . | 5 . . | 6 . 4 -------+-------+-------  9 4 7 | 1 . . | . . 5  . . 1 | 9 . . | 3 . 2  . . . | 7 8 6 | . . 9 ###244 (JPF)#Type VI, 1 step, 40 clues  9 . 6 | 1 . 4 | 7 . 8  . . 4 | . 5 . | 1 . .  . . . | 6 8 3 | . . . -------+-------+-------  7 . 1 | . . . | 3 . 9  . 2 9 | . . . | 5 4 .  5 . . | 7 9 8 | . . 6 -------+-------+-------  6 . 8 | 2 1 5 | 4 . 3  1 3 . | 4 . 6 | . 9 5  . 7 . | . . . | . 2 . ##245 (JPF)#Type VII, 1 step, 39 clues  4 6 . | 8 . . | . 2 .  7 . . | 2 1 3 | 8 . .  . . . | 7 . . | 5 9 1 -------+-------+-------  1 2 5 | 6 8 . | . 3 .  . 9 . | 3 5 . | . 7 .  . 8 . | . . 4 | 6 . . -------+-------+-------  . 7 2 | . . 9 | . . 4  8 . 6 | 4 3 . | . . 7  . . 3 | . . . | 1 6 2 ###246 (JPF)#Type VII, 2 steps, 32 clues  . . . | . 5 . | 4 8 .  . . 3 | . . . | 7 . 2  . 1 . | 2 . 7 | 9 . 5 -------+-------+-------  . . 8 | 3 . 5 | . . .  7 . . | . 2 . | . 5 6  . . 9 | 4 . . | . 2 . -------+-------+-------  1 9 4 | . . . | 6 . .  3 . . | . 6 9 | . . .  . 2 7 | . 8 . | . . 3 # ##247 (JPF)#Type VI, 2 steps, 31 clues  . . 3 | 2 . 8 | 6 . .  1 . 5 | . . . | 3 . 9  . . . | . . . | . . . -------+-------+-------  2 1 . | . 5 . | . 6 8  . . . | . 7 . | . . .  7 . 8 | . 4 . | 2 . 5 -------+-------+-------  . 8 . | . . . | . 7 .  . 4 . | 6 1 5 | . 3 .  . 6 . | 9 8 7 | . 1 . # ##248 (JPF)#Type V, 2 steps, 31 clues  6 2 3 | . . . | . 1 .  . . . | . . 9 | 8 6 5  . . 9 | 7 . . | . 2 . -------+-------+-------  2 . . | 8 4 . | . 5 .  . . . | . 7 . | . . .  . 5 . | . 6 3 | . . 7 -------+-------+-------  . 4 . | . . 7 | 6 . .  9 6 8 | 2 . . | . . .  . 7 . | . . . | 4 8 3 # ##249 (JPF)#Type V, 1 step, 38 clues  . 3 . | . . 8 | . 6 1  1 9 . | . 7 4 | 8 . .  2 . . | 5 . 6 | 3 . . -------+-------+-------  3 8 . | . 4 9 | . . .  . 4 7 | . . . | 2 9 .  . . . | 6 3 . | . 8 7 -------+-------+-------  . . 4 | 8 . 1 | . . 6  . . 1 | 2 9 . | . 7 4  9 5 . | 4 . . | . 2 . ###250 (JPF)#Type VI, 1 step, 39 clues  . 1 7 | 3 . 5 | 8 4 .  . . 2 | . 8 . | 1 . .  . . 3 | 7 . 6 | 5 . . -------+-------+-------  4 . . | 6 . 1 | . . 2  . . 9 | . 4 . | 6 . .  1 8 . | . 3 . | . 9 7 -------+-------+-------  7 . . | 1 . 9 | . . 4  6 5 . | 2 7 8 | . 3 1  2 . . | . 5 . | . . 8 ###251 (JPF)#Type VI, 1 step, 38 clues  . . 4 | 1 2 6 | 8 . .  . . 3 | . 9 . | 7 . .  8 6 . | . 5 . | . 4 9 -------+-------+-------  . 7 . | . 1 . | . 2 .  . 2 . | 4 6 8 | . 1 .  9 . 1 | . . . | 3 . 6 -------+-------+-------  2 1 . | 7 . 9 | . 3 8  5 . . | . . . | . . 4  . . 7 | 2 3 5 | 6 . . ###252 (JPF)#Type VII, 1 step, 38 clues  . . 1 | 9 . 8 | 3 . .  . . 8 | . 4 1 | 6 5 .  5 2 . | . . . | . 8 . -------+-------+-------  3 . . | 1 7 5 | . . 4  . 9 . | 8 2 4 | . . .  2 7 . | 6 3 . | . . 5 -------+-------+-------  9 4 . | . . . | 1 . 2  . 1 7 | . . . | . . 3  . . . | 7 . 3 | 9 4 8 ###253 (JPF)#Type I, 1 step, 40 clues  5 6 . | . 7 . | . 1 2  7 . . | 1 4 9 | . . 6  . . 3 | . 6 . | 4 . . -------+-------+-------  . 1 . | 3 . 6 | . 8 .  8 2 5 | . . . | 6 3 7  . 4 . | 7 . 2 | . 9 . -------+-------+-------  . . 8 | . 9 . | 7 . .  2 . . | 4 3 8 | . . 9  6 3 . | . 2 . | . 4 1 ###254 (JPF)#Type III, 1 step, 40 clues  . 6 8 | . . . | 1 7 .  1 . 5 | . 8 . | 3 . 2  . . . | 4 9 1 | . . . -------+-------+-------  2 . 6 | 3 . 7 | 9 . 4  . 4 . | 5 . 8 | . 6 .  8 . 3 | 9 . 4 | 2 . 5 -------+-------+-------  . . . | 1 3 5 | . . .  7 . 2 | . 4 . | 5 . 8  . 3 4 | . . . | 6 9 . ###255 (JPF)#Type IV, 1 step, 39 clues  . . 6 | . . 3 | . 1 .  . . 2 | 7 5 . | 8 . 4  7 3 4 | 2 . . | . 9 . -------+-------+-------  . 5 3 | . 2 . | . . 9  . 2 . | 1 8 9 | . 4 .  8 . . | . 4 . | 7 6 . -------+-------+-------  . 4 . | . . 1 | 3 5 6  1 . 9 | . 3 2 | 4 . .  . 7 . | 8 . . | 9 . . ##256 (JPF)#Here is an improvement for a 2-stepper : #Type III, 2 steps, 32 clues  . . 6 | 8 4 9 | 5 . .  . . . | . 5 . | . . .  4 . 2 | . . . | 7 . 9 -------+-------+-------  . 3 5 | . . . | 9 4 .  . 4 . | 1 . 5 | . 2 .  . 8 7 | . . . | 3 1 . -------+-------+-------  9 . 3 | . . . | 1 . 8  . . . | . 7 . | . . .  . . 1 | 3 8 2 | 6 . . #####258 (gsf)# inferior VII 2 steps 32 clues antidiagonal symmetric minimal . . 9  4 1 .  . 2 5 . . 8  2 . .  . 7 4 2 4 .  9 . .  . . 3 1 3 7  . . .  . . . 6 . .  . . .  4 5 . . . .  . . .  1 . 9 . . .  . 3 6  . . . 4 6 .  . 5 .  . . 1 7 2 5  . . 4  . 6 . ###259 (gsf)# inferior IV 3 steps 26 clues diagonal and antidiagonal symmetric minimal 3 . .  . . 8  6 . . . 4 .  . 1 5  . . . . . .  . . 2  9 . 4 . . .  . . .  3 8 5 . 3 .  . . .  . 9 . 8 6 7  . . .  . . . 5 . 6  7 . .  . . . . . .  2 9 .  . 7 . . . 8  4 . .  . . 2 ###260 (gsf)# inferior VII 4 steps 23 clues diagonal symmetric minimal . 1 7  . . .  . . 2 . 9 .  . . 8  . . . . . 2  6 . 4  . . . . . .  . 9 .  4 1 . 5 . .  . . 3  . . . . . .  2 . .  6 . . 8 . .  . . .  3 . 5 . . .  . . .  . 6 8 2 . 1  . 6 .  . . . #`

The list continues a bit further down the page...
Last edited by Ocean on Wed Jul 19, 2006 6:49 pm, edited 29 times in total.
Ocean

Posts: 442
Joined: 29 August 2005

Great to have this in a separate thread.

So you're an administrator now, Ocean?

Here are my first submissions, some gap-filling and record breaking to start with.

Code: Select all
`27 clues - no symmetry - 4 steps (Ruud). . 7|2 . .|. . .. . .|1 5 .|8 . .5 4 3|. . 7|6 . 2-----+-----+-----. 9 2|. 6 .|3 . .. . .|. . 3|. 2 1. . .|. 8 .|. . 5-----+-----+-----. 6 .|. . 8|. . 4. . .|. 7 .|. . .9 . .|. . .|7 . 324 clues - no symmetry - 5 steps (Ruud)3 . .|. . .|. . .. 7 2|. . 8|. 9 .. 6 .|. 3 2|. 8 .-----+-----+-----. . .|6 . .|. . .. . .|. 5 9|. . 1. 1 8|. . .|7 . .-----+-----+-----1 2 .|. . .|5 . .. . .|. . 3|. . .9 . .|7 . .|1 . 326 clues - diagonal & antidiagonal - 4 steps (Ruud). 4 .|. 7 9|1 . .9 . 3|. . .|. . .. 6 .|. . 2|. . 8-----+-----+-----. . .|. . 3|5 . 46 . .|. . .|. . 22 . 7|5 . .|. . .-----+-----+-----5 . .|1 . .|. 7 .. . .|. . .|6 . 5. . 2|9 6 .|. 1 .25 clues - diagonal & antidiagonal - 5 steps (Ruud)6 . 4|5 . .|. 1 .. . .|8 2 .|. . 61 . 8|. . .|. . .-----+-----+-----5 1 .|. . .|. . .. 7 .|. 9 .|. 5 .. . .|. . .|. 4 9-----+-----+-----. . .|. . .|5 . 73 . .|. 6 9|. . .. 6 .|. . 4|9 . 824 clues - diagonal & antidiagonal - 8 steps (Ruud). 7 .|8 . .|. . .8 . .|. 6 .|4 . .. . .|2 5 .|. 1 .-----+-----+-----1 . 6|. . .|. . .. 8 3|. . .|1 5 .. . .|. . .|2 . 3-----+-----+-----. 4 .|. 2 5|. . .. . 2|. 3 .|. . 8. . .|. . 7|. 3 .24 clues - diagonal - 6 steps (Ruud)9 2 .|6 . .|. . .5 . .|1 . .|9 . .8 . 3|. . .|. 5 .-----+-----+-----. . .|7 . 8|. . .. . 2|. . .|. . .. . .|4 . 5|. 8 7-----+-----+-----. . 5|. 9 .|6 . .. 6 .|. . .|. . 3. . .|. . .|4 1 8`

Ruud
Ruud

Posts: 664
Joined: 28 October 2005

the new format listing has each line enclosed in '...'
this is probably a unix/windows mismatch in command line processing
the enclosing quotes shouldn't be there
gsf
2014 Supporter

Posts: 7306
Joined: 21 September 2005
Location: NJ USA

### Re: Low-stepper Puzzles.

this will list the lowest entries by symmetry class
Code: Select all
`sort -t, -k1,1 -k2,2n -k3,3n -k4,4 -k7,7n *.dat | sort -t, -u -k1,1 -k2,2n > lowest.dat`

with ties broken by #clues, M/SM/-, and submission#
the second sort assumes stability which gnu and ast (uwin) sort do for -u
gsf
2014 Supporter

Posts: 7306
Joined: 21 September 2005
Location: NJ USA

### Re: Low-stepper Puzzles.

Code: Select all
`#IV,4,26,SM,020000509305001000060008004000040790000706000052010000600400010000500603508000070,gsf,NEW. 2 .  . . .  5 . 93 . 5  . . 1  . . .. 6 .  . . 8  . . 4. . .  . 4 .  7 9 .. . .  7 . 6  . . .. 5 2  . 1 .  . . .6 . .  4 . .  . 1 .. . .  5 . .  6 . 35 . 8  . . .  . 7 .#V,3,28,SM,000035070600000010130020090500683900000000000004912006080090053010000008040760000,gsf,NEW. . .  . 3 5  . 7 .6 . .  . . .  . 1 .1 3 .  . 2 .  . 9 .5 . .  6 8 3  9 . .. . .  . . .  . . .. . 4  9 1 2  . . 6. 8 .  . 9 .  . 5 3. 1 .  . . .  . . 8. 4 .  7 6 .  . . .#VII,6,23,SM,000030080000910000000080201090100600537000090000002400009508000100060000004000007,gsf,NEW. . .  . 3 .  . 8 .. . .  9 1 .  . . .. . .  . 8 .  2 . 1. 9 .  1 . .  6 . .5 3 7  . . .  . 9 .. . .  . . 2  4 . .. . 9  5 . 8  . . .1 . .  . 6 .  . . .. . 4  . . .  . . 7`
gsf
2014 Supporter

Posts: 7306
Joined: 21 September 2005
Location: NJ USA

Ruud wrote:Great to have this in a separate thread.
So you're an administrator now, Ocean?
Here are my first submissions, some gap-filling and record breaking to start with.

I'm not too fond of administration (tends to distract me from the more interesting search algorithms...). But gsf's program saves a lot of work!
Thanks for the submissions! Most of the table seems to have entries now, thanks to gsf's many 'first entries', and now yours.

gsf wrote:the new format listing has each line enclosed in '...' (...) the enclosing quotes shouldn't be there
Thanks. Problem fixed.
gsf wrote:this will list the lowest entries by symmetry class
Code: Select all
` sort -t, -k1,1 -k2,2n -k3,3n -k4,4 -k7,7n *.dat | sort -t, -u -k1,1 -k2,2n > lowest.dat `

with ties broken by #clues, M/SM/-, and submission#
the second sort assumes stability which gnu and ast (uwin) sort do for -u

Thanks for hints about sorting the lists. I'm more familiar with unix shell commands (including 'sort') than dos/windows, so think I do the sort on unix instead of experimenting with the unstable dos/windows environment.
Two 'ties' for best, and one improvement!
Ocean

Posts: 442
Joined: 29 August 2005

another update
Code: Select all
`#III,2,34,SM,000000000803601504105304807650080093000000000270060018904105306302907105000000000,gsf,NEW. . .  . . .  . . .8 . 3  6 . 1  5 . 41 . 5  3 . 4  8 . 76 5 .  . 8 .  . 9 3. . .  . . .  . . .2 7 .  . 6 .  . 1 89 . 4  1 . 5  3 . 63 . 2  9 . 7  1 . 5. . .  . . .  . . .#III,3,28,SM,000000000506000201800236005090402030040000010050809020900753004403000906000000000,gsf,NEW. . .  . . .  . . .5 . 6  . . .  2 . 18 . .  2 3 6  . . 5. 9 .  4 . 2  . 3 .. 4 .  . . .  . 1 .. 5 .  8 . 9  . 2 .9 . .  7 5 3  . . 44 . 3  . . .  9 . 6. . .  . . .  . . .#III,7,24,SM,670050028000609000002000100300000005060000040800000001007000600000801000590060072,gsf,NEW6 7 .  . 5 .  . 2 8. . .  6 . 9  . . .. . 2  . . .  1 . .3 . .  . . .  . . 5. 6 .  . . .  . 4 .8 . .  . . .  . . 1. . 7  . . .  6 . .. . .  8 . 1  . . .5 9 .  . 6 .  . 7 2#VI,8,22,SM,800007040000000030400039000003500006004000008009800002600012000000000050700003020,gsf,NEW8 . .  . . 7  . 4 .. . .  . . .  . 3 .4 . .  . 3 9  . . .. . 3  5 . .  . . 6. . 4  . . .  . . 8. . 9  8 . .  . . 26 . .  . 1 2  . . .. . .  . . .  . 5 .7 . .  . . 3  . 2 .#VII,3,25,SM,000085000006000700072090030000076005300004902150000000000000340900200600010950000,gsf,NEW. . .  . 8 5  . . .. . 6  . . .  7 . .. 7 2  . 9 .  . 3 .. . .  . 7 6  . . 53 . .  . . 4  9 . 21 5 .  . . .  . . .. . .  . . .  3 4 .9 . .  2 . .  6 . .. 1 .  9 5 .  . . .`
gsf
2014 Supporter

Posts: 7306
Joined: 21 September 2005
Location: NJ USA

gsf wrote:another update
Five records broken! And especially: Lowest known number of clues for a 3-stepper: 25 clues!

###############################################

Edit: Because the volume of the submitted puzzles is too big to fit in one post, the list continues here....

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`#[continuation from the second post in this thread]###261 (JPF)#Type IV, 2 steps, 31 clues  . 9 . | . 6 3 | 1 . .  7 . . | . . . | 8 . .  . . . | . . 8 | 6 7 4 -------+-------+-------  . . . | . 3 . | 4 . 6  6 . . | 9 5 1 | . . 2  8 . 1 | . 7 . | . . . -------+-------+-------  2 4 3 | 5 . . | . . .  . . 7 | . . . | . . 8  . . 5 | 6 1 . | . 3 . ###262 (JPF)#Type VII, 2 steps, 30 clues  5 . . | . 8 . | . . .  . . . | 5 . . | . 3 7  . . . | 1 2 6 | 4 . . -------+-------+-------  . 1 3 | . 9 . | . . .  4 . 9 | 8 . . | 1 . 5  . . 8 | . . . | . . 6 -------+-------+-------  . . 1 | . 5 . | . 8 .  . 3 . | . . . | 5 2 9  . 2 . | . 6 4 | . 1 . ###263 (JPF)#New improvement#1 step, 34 clues, no symmetry  . 2 . | . . . | 6 1 .  5 6 . | . 4 7 | . . 8  7 . 8 | . . 3 | . . 2 -------+-------+-------  . . 2 | 6 . 9 | . . .  . 7 . | . . . | 5 4 .  . 1 . | . 7 8 | 3 . 6 -------+-------+-------  . . 9 | 5 1 . | . 7 .  . . . | 8 . 6 | 1 9 .  . 4 3 | . . 2 | . . . ###264 (Ocean)#New improvement#Type I, 7 steps, 21 clues, Minimal. *-----------* |...|1.2|...| |.1.|...|.3.| |..4|.5.|6..| |---+---+---| |3..|...|..2| |..5|.7.|8..| |9..|...|..1| |---+---+---| |..8|.4.|5..| |.2.|...|.6.| |...|5.8|...| *-----------*##265 (Ocean)# Type IV, 8 steps, 19 clues, Minimal. *-----------* |...|..1|.2.| |.3.|...|..1| |..4|.5.|...| |---+---+---| |...|4..|..6| |..7|.8.|4..| |2..|..5|...| |---+---+---| |...|.7.|2..| |1..|...|.5.| |.6.|3..|...| *-----------*##Two improvements for puzzles with double diagonal symmetry:#266 (Ocean)# Type IV, 7 steps, 19 clues, Minimal. *-----------* |...|..1|.2.| |.3.|...|..4| |..4|.5.|...| |---+---+---| |...|3..|..6| |..5|.7.|3..| |7..|..2|...| |---+---+---| |...|.6.|8..| |5..|...|.7.| |.6.|4..|...| *-----------*##267 (Ocean)# Type IV, 6 steps, 19 clues, Minimal. *-----------* |...|..1|.2.| |.3.|...|..4| |..1|.5.|...| |---+---+---| |...|6..|..3| |..7|.3.|5..| |5..|..2|...| |---+---+---| |...|.7.|1..| |8..|...|.7.| |.6.|2..|...| *-----------*##New personnal records : #268 (JPF)#Type II, 1 step, 40 clues # . 2 8 | 3 . 6 | . 1 .  4 . 9 | 1 . 5 | . . 3  . . . | 8 . 7 | . 4 5 -------+-------+-------  2 1 3 | . . . | 9 7 4  . . . | . . . | . . .  6 5 4 | . . . | 3 2 8 -------+-------+-------  1 8 . | 7 . 3 | . . .  7 . . | 5 . 9 | 6 . 1  . 3 . | 4 . 2 | 5 8 . # #269 (JPF)#Type II, 1 step, 40 clues # 2 7 . | 5 . . | . . 9  . 8 9 | 1 . . | 3 4 7  . 4 . | 8 7 . | . 6 . -------+-------+-------  . . . | . 3 . | 6 5 8  . . 7 | 9 . 4 | 1 . .  1 5 3 | . 2 . | . . . -------+-------+-------  . 3 . | . 1 5 | . 8 .  9 2 5 | . . 6 | 4 7 .  6 . . | . . 7 | . 3 2 ##270 (JPF)#Type I, 2 steps, 32 clues # . 4 . | 2 . 6 | . 3 .  2 . 5 | . . . | 8 . 7  . 7 . | . 1 . | . 9 . -------+-------+-------  1 . . | 6 . 4 | . . 9  . . 9 | . . . | 2 . .  8 . . | 3 . 7 | . . 5 -------+-------+-------  . 3 . | . 8 . | . 2 .  7 . 6 | . . . | 1 . 8  . 8 . | 1 . 9 | . 4 . ##271 (JPF)#Type II, 2 steps, 32 clues # 7 . . | 4 . . | 1 9 8  2 . . | 3 8 . | . . .  8 . 6 | . . . | 7 . . -------+-------+-------  . . . | 9 . 2 | . 6 5  . 7 . | . . . | . 2 .  9 3 . | 6 . 5 | . . . -------+-------+-------  . . 1 | . . . | 5 . 3  . . . | . 6 4 | . . 1  5 2 8 | . . 1 | . . 9 ###272 (coloin)# Here is a minimal 3-stepper with 34 clues. # A chameleon puzzle from the dukuso15 grid #000000000004001052057043081018057034006480007000000000091025040070106008085900013 # *-----------* |...|...|...| |..4|..1|.52| |.57|.43|.81| |---+---+---| |.18|.57|.34| |..6|48.|..7| |...|...|...| |---+---+---| |.91|.25|.4.| |.7.|1.6|..8| |.85|9..|.13| *-----------*##Here are the 35s in the dukuso15 grid #273 (coloin) - 35 clues; 6-stepper..........6...1352.57...6.1.18.5793....4.9..7..931..6...1..57...7.13.5...85.742.3 ##274 (coloin) - 35 clues; 6-stepper..........6...135..57..36.1.1..5793.5.64.9.....9.1..6...1.257...7213.5...8..742.3 ##275 (coloin) - 35 clues; 6-stepper..........6...135..5..436.1.1..5793.5.64.9.....9.12....91.257...7213.5......742.3 ##276 (coloin) - 35 clues; 6-stepper..........6...135..5..436.1.1..5793.5.64.9.....9.12.....1.257...7213.5...8..742.3##277 (coloin) - 31 clues; 3 steps:#JPF has kindly filtered a few hundred thousand puzzles to get these 3 steppers - all from the MC grid...3..678.7.....45..567..1..2.1...8...6...72.1.9..3.5..3126.5...6....8....7..12... ##278 (coloin) - 32 clues; 3 steps:..3..678.7..1..45.4.678.1..23..648...6....2.1.........31264....6....8.....8.12..5 ##279 (coloin) - 33 clues; 3 steps:.23..678.7..1..45.4.67..1..231.6.8...6...72...........31.6.5...6....8..2.78.12..5 ##280 (coloin) - 34 clues; 4 steps:.234.67...8.1..45.4.67..1..231.6.8...6...72.1.........3126....86....8....78.12..5 ##281 (coloin) #And a 4 stepper from dukuso15 grid with 31 clues ..............1352.57.4.6.1.18.5.93...6..9......312..5..1..57...7.13.....8..742.3 ## Two improvements for puzzles with type VI symmetry:#282 (Ocean) # Type VI, 7-stepper, 21 clues, Minimal.  *-----------* |1..|...|..2| |...|...|...| |3..|4.5|..6| |---+---+---| |2..|1.7|..4| |...|...|...| |..3|.2.|8..| |---+---+---| |..4|.6.|9..| |.9.|.1.|.8.| |..6|...|3..| *-----------*##283 (Ocean) # Type VI, 6-stepper, 21 clues, Minimal.  *-----------* |...|...|...| |.1.|.2.|.3.| |2..|4.5|..6| |---+---+---| |4..|...|..2| |...|...|...| |1..|7.6|..8| |---+---+---| |.6.|.5.|.9.| |..7|.4.|3..| |.9.|...|.1.| *-----------*##284 (Ocean) #Another improvement:# H22; S4# Type VI, 4-stepper, 22 clues, Minimal.  *-----------* |..1|...|2..| |2.3|...|4.5| |...|3.6|...| |---+---+---| |72.|...|.68| |...|...|...| |...|1.4|...| |---+---+---| |...|.1.|...| |..9|...|3..| |.4.|768|.2.| *-----------*##285 (Ocean) # And its companion:# H22; S5# Type VI, 5-stepper, 22 clues, Minimal.  *-----------* |...|..1|.2.| |1..|..3|...| |..4|...|.56| |---+---+---| |5..|.6.|3..| |32.|...|...| |7..|.1.|4..| |---+---+---| |..8|...|.71| |9..|..2|...| |...|..9|.6.| *-----------*##286 (Ocean) # Five steps.# Minimal sudoku, 21 clues, no symmetry. *-----------* |..1|2..|...| |...|1..|.3.| |4..|...|.56| |---+---+---| |7..|...|.83| |...|5..|.2.| |..4|9..|...| |---+---+---| |.29|...|...| |..8|..4|9..| |...|..3|7..| *-----------*##287 (Ocean) # A further improvement:# Type VI, 5-stepper, 21 clues, Minimal.  *-----------* |...|...|.12| |.3.|...|..4| |..5|.12|...| |---+---+---| |2..|6..|...| |...|37.|6..| |8..|1..|...| |---+---+---| |..6|.59|...| |.5.|...|..7| |...|...|.31| *-----------*## A few improvements.#288 (Ocean) # Type V, 20 clues, minimal. Four-stepper. *-----------* |...|...|..1| |...|..2|...| |.3.|4..|5.6| |---+---+---| |...|..7|89.| |.6.|...|.2.| |.43|5..|...| |---+---+---| |2.7|..9|.8.| |...|6..|...| |1..|...|...| *-----------*##289 (Ocean) # Type V, 18 clues, minimal. Six-stepper. *-----------* |...|...|..1| |...|..2|...| |..1|...|.34| |---+---+---| |...|..5|67.| |..4|...|2..| |.18|9..|...| |---+---+---| |69.|...|7..| |...|4..|...| |2..|...|...| *-----------*##290 (Ocean) # Type IV, 18 clues, minimal. Six-stepper. *-----------* |..1|...|.23| |...|..4|..5| |6..|..7|...| |---+---+---| |...|...|78.| |...|...|...| |.52|...|...| |---+---+---| |...|2..|..9| |8..|3..|...| |47.|...|1..| *-----------*## Trivially:#291 (Ocean)# Type IV, 18 clues, minimal. Seven steps.001000023000004005200006000000000670000000000035000000000500004600200000740000800 ##292 (Ocean)# Type IV, 18 clues, minimal. Eight steps.001000023000004005600007000000000480000000000032000000000200009800600000470000100 #####`
Last edited by Ocean on Sat Sep 15, 2007 8:37 pm, edited 18 times in total.
Ocean

Posts: 442
Joined: 29 August 2005

another one -- almost 1G filtered now
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`#VI,7,22,M,000064070409030000001000000000009068900100000000008023008000000306010000000072040,gsf,2006-06-05. . .  . 6 4  . 7 .4 . 9  . 3 .  . . .. . 1  . . .  . . .. . .  . . 9  . 6 89 . .  1 . .  . . .. . .  . . 8  . 2 3. . 8  . . .  . . .3 . 6  . 1 .  . . .. . .  . 7 2  . 4 .`
gsf
2014 Supporter

Posts: 7306
Joined: 21 September 2005
Location: NJ USA

gsf wrote:another one -- almost 1G filtered now
Thanks, new broken record. 1G sounds like a nice collection. Must be a challenge to search effectively for specific properties.
Ocean

Posts: 442
Joined: 29 August 2005

Ocean wrote:
gsf wrote:another one -- almost 1G filtered now
Thanks, new broken record. 1G sounds like a nice collection. Must be a challenge to search effectively for specific properties.

the search happens in three parts, the first on the fly, so the 1G collection
is already FN-constrained and step count < 8
the second part generates the symmetry X steps table with minimal entries (~1min/Gpuzzle)
the 3rd part diffs the new and old table and egreps new minimal entries from the 1G

the hard part was coding the solver to do the filtering via options
part of the reason for the pedantic posts about step counts on other forum threads

here is the command line for the first part
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`sudoku -g -m -sg -B -q{FN}-G \  -e'valid&&(steps<=8||steps>20)' \  -f'%#tq,%(steps)x,%(clues)x,%(minimal)[-][M][SM]x,%#0v,%(\$AUTHOR)f,%(\$SEQ)f'  `

I forgot I had ||steps>20 for hi steppers (running for 1w6d)
here is the min#clues for symmetric hi steppers from the same 1G
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`    21 22 23 24 25 26 27 28 29 30  I 29 28 -- -- -- -- -- -- -- -- II 25 28 28 28 -- -- -- -- -- --III 26 24 -- 26 -- -- -- -- -- -- IV 22 26 26 28 -- -- -- -- -- --  V 24 24 22 -- -- -- -- -- -- -- VI 22 24 24 25 24 27 -- -- -- --VII 18 18 18 23 -- 25 -- -- -- --`
gsf
2014 Supporter

Posts: 7306
Joined: 21 September 2005
Location: NJ USA

gsf wrote:the search happens in three parts, the first on the fly, (...)

Interesting. For me big volumes are problematic. But filtering on symmetry + low number of clues is effective to prevent big volumes. These small collections have turned out to contain several high-steppers, but not so many low-steppers. For instance the 10k-collection of type I,20 (oceanM20) contains:
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`    21 22 23 24 25 26 27 28 29 30  (# steps)   I 20 20 20 20 20 20 -- -- -- --  (min#clues)  # 25  9  2  1  1  2              (# such puzzles)  In the low end: two 8-steppers.`

To generate metrics for 10k takes only a few minutes, while 1M is heavy enough (hours).

There are not so many 'very low' steppers, but occationally 8-steppers, 7-steppers, 6-steppers and even 5-steppers. Here are some:
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`#Type III. 5 steps [P22][S5] [M]...|.1.|.....1|...|2...23|...|45.---+---+---5..|3.6|..7...|...|...8..|2.4|..6---+---+---.54|...|39...2|...|5.....|.7.|...`
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`#Type III. 6 steps. [P22][S6][M]...|...|....1.|.2.|.3.4..|5.6|..7---+---+---..2|.1.|8.....|7.9|.....9|.8.|6..---+---+---6..|1.5|..4.8.|.3.|.2....|...|...`
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`#Type III. 7 steps. [P22][S7][M]...|...|.....1|.2.|3...24|...|15.---+---+---3..|1.4|..6...|...|...7..|8.5|..4---+---+---.13|...|24...8|.9.|7.....|...|...`
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`#Type III. 8 steps. [P22][S8][M]...|...|......|1.2|...3.4|...|5.6---+---+---.1.|.2.|.4.57.|...|.81.9.|.6.|.2.---+---+---1.8|...|4.9...|6.7|......|...|...`
Ocean

Posts: 442
Joined: 29 August 2005

a correction in case anyone does some envelope cyphering
the low stepper search has accumulated 1Gb puzzle data (not 1G puzzles)
at ~100 bytes/puzzle that's ~10M puzzles
gsf
2014 Supporter

Posts: 7306
Joined: 21 September 2005
Location: NJ USA

[EDIT]

What software is available for the non-programmer to use to identify (not create) low-steppers, either one at a time or in bulk? It's much too tedious and to do it manually.
tso

Posts: 798
Joined: 22 June 2005

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