sudoku max allowed subsets

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

Re: sudoku max allowed subsets

Postby 1to9only » Sun Mar 14, 2021 8:16 am

denis_berthier wrote:The -1 difference may come from the order in which they are applied.
It would be interesting to see your solution with 5 swordfishes.

SE searches/solves in number order:
Swordfish: 2r567c167
Swordfish: 4r157c167
Swordfish: 6r359c349
Swordfish: 7r359c349
Swordfish: 9r345c349

denis_berthier wrote:I don't think the word "require" is correct. They may have 5 swordfishes, depending on which order we apply them; but solutions with fewer ones can be found.

LOL! I have a few that SE uses 7 swordfishes to solve!!
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Re: sudoku max allowed subsets

Postby denis_berthier » Sun Mar 14, 2021 8:18 am

1to9only wrote:
denis_berthier wrote:I don't think the word "require" is correct. They may have 5 swordfishes, depending on which order we apply them; but solutions with fewer ones can be found.

LOL! I have a few that SE uses 7 swordfishes to solve!!

Sure, it can work in both ways.
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Re: sudoku max allowed subsets

Postby mith » Mon Mar 15, 2021 2:46 am

Here are three that SE 1.2.1 will use 9 swordfishes on (along with an XY-wing):

Code: Select all
...........1..2..3.4..5..6.......1....3..7..2.5..6..8...2..3..9.6..4..5.4........
...........1..2..3.4..5..6.......1....3..7..2.8..6..4...2..3..9.6..4..8.8........
...........1..2..3.4..5..6.......1....2..3..7.6..8..5...3..1..2.5..6..9.8........
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Re: sudoku max allowed subsets

Postby mith » Mon Mar 15, 2021 6:10 pm

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Re: sudoku max allowed subsets

Postby m_b_metcalf » Tue Mar 16, 2021 2:54 pm

999_Springs wrote:i might post it in the puzzles forum or as a patterns game pattern if i get his permission

Looks as though you didn't, so here's the current state of my cache for this pattern:
Hidden Text: Show
Code: Select all
..12....3..45....67....62..3....86.............86....2..38....48....57..2....39..   ED=1.2/1.2/1.2   
..12....3..45....67....42..3....76.............61....4..34....56....28..9....54..   ED=1.5/1.2/1.2   
..12....3..24....55....67..7....26.............86....9..43....88....51..2....14..   ED=1.7/1.2/1.2   
..12....3..45....67....42..5....36.............21....8..94....56....28..3....57..   ED=2.0/2.0/2.0   
..12....3..45....67....42..3....18.............69....1..34....56....21..8....57..   ED=2.3/2.3/2.3   
..12....3..45....16....72..8....21.............37....4..59....64....69..7....84..   ED=2.5/2.5/2.5   
..12....3..45....26....78..2....56.............34....5..91....85....82..1....97..   ED=2.6/2.6/2.6   
..12....3..45....26....47..1....68.............87....6..54....79....31..3....92..   ED=2.8/2.6/2.6   
..12....3..24....56....31..1....73.............68....4..56....17....98..9....85..   ED=3.0/3.0/3.0 
..12....3..45....67....42..3....86.............61....9..34....56....29..8....57..   ED=3.2/3.2/2.6   
..12....3..45....23....67..1....89.............37....4..59....68....21..9....53..   ED=3.4/3.4/3.4   
..12....3..45....63....64..1....78.............39....4..58....97....21..8....56..   ED=3.6/3.6/2.6   
..12....3..31....44....35..3....67.............83....2..48....56....79..8....94..   ED=3.8/3.8/3.8   
..12....3..45....66....41..1....78.............94....2..69....17....83..9....36..   ED=4.0/4.0/3.8   
..12....3..45....62....75..8....59.............34....1..96....73....96..1....28..   ED=4.2/4.2/3.8   
..12....3..45....67....89..3....45.............61....7..27....89....61..5....34..   ED=4.4/4.4/2.6   
..12....3..43....56....47..5....89.............64....2..57....18....93..1....35..   ED=4.5/4.5/3.4   
..12....3..43....56....47..5....86.............96....2..59....18....73..1....35..   ED=4.6/4.6/2.6   
..12....3..45....12....67..7....26.............86....4..53....88....93..9....14..   ED=4.7/2.5/2.5   
..12....3..45....67....84..4....23.............58....7..34....18....96..9....72..   ED=4.8/2.3/2.3   
..12....3..31....45....36..6....73.............83....2..48....67....59..8....94..   ED=5.0/5.0/2.6   
..12....3..24....55....61..1....73.............89....4..58....17....39..9....25..   ED=5.2/3.8/2.6   
..12....3..24....56....74..1....86.............73....4..57....18....49..7....95..   ED=5.4/5.4/2.6   
..12....3..34....55....67..7....13.............89....4..58....18....36..1....25..   ED=5.6/4.2/2.6   
..12....3..24....55....61..1....73.............86....4..58....17....39..9....25..   ED=5.7/3.8/2.6   
..12....3..45....65....47..1....89.............54....2..67....18....93..7....36..   ED=5.9/2.3/2.3   
..12....3..24....55....36..7....63.............83....4..58....12....79..8....95..   ED=6.2/3.8/2.6   
..12....3..43....56....47..5....16.............64....2..57....81....93..7....39..   ED=6.5/3.0/2.6   
..12....3..45....67....42..4....86.............21....8..34....56....28..9....57..   ED=6.6/2.3/2.3   
..12....3..45....23....16..7....89.............36....4..59....18....67..1....53..   ED=6.6/6.6/3.8   
..12....3..45....66....34..1....78.............93....5..69....47....81..9....26..   ED=6.7/6.7/2.6   
..12....3..45....67....89..4....52.............67....4..31....52....74..9....68..   ED=6.8/6.8/2.6   
..12....3..45....62....78..7....95.............57....1..63....25....84..9....26..   ED=6.9/4.2/2.6   
..12....3..45....67....18..6....39.............74....2..63....18....95..1....56..   ED=7.0/7.0/2.6   
..12....3..45....67....48..4....96.............61....5..34....86....25..9....87..   ED=7.1/7.1/2.6   
..12....3..41....56....72..8....19.............53....4..76....21....43..9....28..   ED=7.1/7.1/3.8   
..12....3..45....67....42..3....86.............61....2..74....56....29..8....37..   ED=7.2/7.2/2.6   
..12....3..41....55....67..8....95.............54....6..37....29....23..1....86..   ED=7.2/7.2/3.8   
..12....3..45....67....42..3....86.............61....9..94....56....27..8....59..   ED=7.3/7.3/2.6   
..12....3..34....55....62..7....15.............56....4..68....93....78..9....21..   ED=7.3/7.3/3.8   
..12....3..45....67....42..5....36.............61....8..84....96....28..3....97..   ED=7.4/7.4/2.6   
..12....3..45....67....41..3....78.............76....5..27....18....93..1....29..   ED=7.4/7.4/3.8   
..12....3..45....67....42..8....96.............61....7..34....51....27..9....58..   ED=7.5/7.5/2.6   
..12....3..34....52....61..7....83.............56....4..69....13....25..1....78..   ED=7.5/7.5/3.8   
..12....3..34....55....61..1....73.............89....4..58....27....36..9....25..   ED=7.6/7.2/2.6   
..12....3..34....56....51..1....73.............89....4..58....97....35..2....96..   ED=7.8/2.3/2.3   
..12....3..45....67....35..3....27.............83....4..51....84....83..2....69..   ED=7.9/1.2/1.2   
..12....3..45....66....72..4....56.............24....5..61....22....45..8....67..   ED=8.0/1.2/1.2   
..12....3..24....56....78..4....37.............71....9..93....75....13..8....56..   ED=8.2/8.2/2.6   
..12....3..45....63....75..8....92.............67....1..74....99....21..4....58..   ED=8.2/8.2/3.8   
..12....3..45....66....72..1....86.............91....8..53....99....24..7....58..   ED=8.3/8.3/2.6   
..12....3..45....23....65..7....58.............86....4..69....11....83..9....17..   ED=8.3/8.3/3.8   
..12....3..45....67....62..8....39.............91....5..74....24....86..1....73..   ED=8.4/8.4/2.6   
..12....3..45....65....72..8....64.............39....1..26....49....28..4....56..   ED=8.4/8.4/3.8   
..12....3..45....22....67..8....79.............36....1..67....44....52..9....48..   ED=8.5/8.5/3.8   
..12....3..34....56....71..7....84.............59....2..76....11....29..4....98..   ED=8.6/8.6/3.8   
..12....3..45....62....78..5....94.............36....1..27....44....25..9....46..   ED=8.7/8.7/3.8   
..12....3..24....56....78..2....31.............45....9..93....74....13..8....56..   ED=8.8/8.8/2.6   
..12....3..24....15....62..7....58.............49....2..35....68....37..4....23..   ED=8.8/8.8/3.8   
..12....3..45....67....34..6....23.............86....2..98....12....59..8....67..   ED=8.9/8.9/2.6   
..12....3..45....62....75..8....94.............38....1..27....44....28..9....46..   ED=8.9/8.9/3.8   
..12....3..45....67....85..2....19.............63....4..57....89....52..1....43..   ED=9.0/9.0/3.8   
..12....3..43....56....78..2....17.............65....4..86....71....92..9....45..   ED=9.1/9.1/3.8   
..12....3..45....67....34..8....19.............23....5..64....71....86..4....23..   ED=9.2/9.2/3.8   
..12....3..45....66....41..1....78.............96....2..89....57....53..9....36..   ED=9.3/9.3/3.8   
..12....3..45....66....41..1....78.............96....2..89....59....53..7....36..   ED=9.4/9.4/3.8   

Regards,

Mike
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