The hardest sudokus (new thread)

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

Re: The hardest sudokus (new thread)

Postby mith » Wed Mar 02, 2022 7:26 pm

denis_berthier wrote:
mith wrote:There is then the question of what to do about puzzles which are the same after *basics* but not after just singles. I don’t have any stats on how frequently this is the case among the hard puzzles, but when we’re talking about 11.x puzzles a cutoff at basics makes as much sense as a cutoff at singles to me.

Statistically, it will not make much difference. But sorry, definitely no; "basics" doesn't make any sense. "Basics" are not even closed under rule isomorphisms (they include Pairs but not X-Wings).


FWIW, basics for me would include fish (since fish are just subsets in another dimension). Maybe we need a better term for this, since basics probably means something different to most people.

You're correct that applying non-singles subsets would produce a sukaku, but I don't think this ultimately matters. The important thing is what digits can be determined by applying these rules - if the resulting digit grids are isomorphic, they sukaku obtained by continuing eliminations will also be isomorphic; and if the digit grids aren't isomorphic, no amount of subset/whip eliminations will make the sukaku isomorphic if no new digits are placed.

All that said, for now I will just apply singles for the comparison.
mith
 
Posts: 888
Joined: 14 July 2020

Re: The hardest sudokus (new thread)

Postby mith » Wed Mar 02, 2022 7:28 pm

And before I do that comparison, here are the newly found puzzles since my last update, with another big batch of 11.8s (92, 27c-29c):
Code: Select all
..............1.23...45.6.1..7.46..8.145.....86.17...5..86......76.1.8..45.78....  ED=11.8/1.2/1.2
..............1.23...45.6.1..7.46..8.145.....86.17..5...86......76.1.8..45.78....  ED=11.8/1.2/1.2
..............1.23.14...5.6..1.64....7685..1.54...7..8..5..8....6..758...8741....  ED=11.8/1.2/1.2
..............1.23.14...5.6..1.64....7685...154...7..8..5..8....6..758...8741....  ED=11.8/1.2/1.2
..............1.23.14...5.6..1.64....7685....54...7..8..5..8....8741....16..758..  ED=11.8/1.2/1.2
..............1.23.14...5.6..1.64....7685....54...7..8.6..758...8741....1.5..8...  ED=11.8/1.2/1.2
..............1.23..4.2.56...7..3....8324...714.7.8.....813..7..21..4...73.8.2...  ED=11.8/1.2/1.2
..............1.23..4.2.56...7.43....832....714.7.8.....813..7..21..4...73.8.2...  ED=11.8/1.2/1.2
..............1.23...45.6.1..7.6.....861.57..54.78.....15.4....4.8..6..776.81....  ED=11.8/1.2/1.2
..............1.23...45.6.1..7.65....861..7..54.78.....15.4....4.8..6..776.81....  ED=11.8/1.2/1.2
........1......23......4.56..2.43..5.7352..8.54.7.8....8.......3.4.87..272.35....  ED=11.8/1.2/1.2
........1......23......4.56..2.43..5.735...8.54.7.8.2..8...2...3.4.87...72.35....  ED=11.8/1.2/1.2
..............1.23...45.6.1..7.6.....861.47..54.78.....15......4.85.6..776.81....  ED=11.8/1.2/1.2
..............1.23...45.6.1..7.64....861..7..54.78.....15......4.85.6..776.81....  ED=11.8/1.2/1.2
........1.....123...4....56..1.54....6...7.8.7.586.....16..8...54..76..88.741....  ED=11.8/1.2/1.2
..............1.23..4.2.56...7.13....8324...714.7.8.....8.3..7..21..4...73.8.2...  ED=11.8/1.2/1.2
..............1.23..4.2.56...7.3..8..21..4...83.7.2.....8.43....7321...814.8.7...  ED=11.8/1.2/1.2
..............1.23...45.6.1..7.65....861.47..54.78.....15......4.8..6..776.81....  ED=11.8/1.2/1.2
........1......23......4.56..7.......8235....43..78..2.548.....27..43..53.852..7.  ED=11.8/1.2/1.2
........1......23......4.56..7..2....8235....43..78....548...2.27..43..53.85...7.  ED=11.8/1.2/1.2
........1......23......4.56..7.4.....8253....43.7.8..2.54.8....27...3..53.825..7.  ED=11.8/1.2/1.2
........1......23......4.56..7.42....8253....43.7.8....54.8..2.27...3..53.8.5..7.  ED=11.8/1.2/1.2
........1......23......4.56..2..3..5.7325..8.54..78....8..4....3.48.7..272.53....  ED=11.8/1.2/1.2
........1......23......4.56..2..3..5.73.5..8.54..78.2..8..42...3.48.7...72.53....  ED=11.8/1.2/1.2
..............1.23...45.6.1..7.64....861.57..54.78.....15......4.8..6..776.81....  ED=11.8/1.2/1.2
........1.....123...4....56..1.54....7586....64...7.8..5..76..8.8741....1.6..8...  ED=11.8/1.2/1.2
........1......23.....14.56..71.6....8645...741..78....54......1.86...7.76..85...  ED=11.8/1.2/1.2
........1......23.....14.56..71.6....86.5...741..78....54......1.864..7.76..85...  ED=11.8/1.2/1.2
..............1.23..4.2.56...7.43....1.7.8...8.321...7.48.3..7.2.1..4...37.8.2...  ED=11.8/1.2/1.2
..............1.23..4.2.56...7.43....1.7.8...8.32....7.4813..7.2.1..4...37.8.2...  ED=11.8/1.2/1.2
..............1.23.14...5.6....64....7685....5..1.7..8.8741....16..758..4.5..8...  ED=11.8/1.2/1.2
..............1.23.14...5.6....64....7685....54.1.7..8..5..8....8741....16..758..  ED=11.8/1.2/1.2
........1......23......4.56..7.......8235....43..78....548...2..7..43..53.852..7.  ED=11.8/1.2/1.2
........1......23......4.56..7..3..5.45.8..2.38.25..7..2853.....7..4....4.37.8...  ED=11.8/1.2/1.2
..............1.23...45.6.1..617..5..41..8...57..46..8.67.1.8...8.6.....4.57.....  ED=11.8/1.2/1.2
........1......23.....14.56..7..6....8645...741..78.....86...7..54..1...76..85...  ED=11.8/1.2/1.2
..............1.23...45.6.1..617..5..415.8....7..46..8.67.1.8...8.6.....4.57.....  ED=11.8/1.2/1.2
..............1.23...45.6.1..617...5.41..8...57..46..8.67.1.8...8.6.....4.57.....  ED=11.8/1.2/1.2
..............1.23...45.6.1..617...5.415.8....7..46..8.67.1.8...8.6.....4.57.....  ED=11.8/1.2/1.2
..............1.23.14...5.6..5..7.....814.....6.8.57...865...1.54...8..77.16.4...  ED=11.8/1.2/1.2
..............1.23.14...5.6..1.64....7685...45....7..8..5..8....6..758...8741....  ED=11.8/1.2/1.2
..............1.23.14...5.6..5..7.....814.....6.8.57...865....154...8..77.16.4...  ED=11.8/1.2/1.2
..............1.23.14...5.6..1.6.....7685...454...7..8..5..8....6..758...8741....  ED=11.8/1.2/1.2
..............1.23.14...5.6..714.....6.7.58..1.5..8....765.....54...7..88.16.4...  ED=11.8/1.2/1.2
..............1.23.14...5.6....64....7685....54.1.7..8.6..758...874.....1.5..8...  ED=11.8/1.2/1.2
..............1.23.14...5.6..1.64....7685....5....7..8..5..8....8741....46..758..  ED=11.8/1.2/1.2
..............1.23.14...5.6..1.64....7685....5....7..8.6..758...8741....4.5..8...  ED=11.8/1.2/1.2
..............1.23.14...5.6..1.64....7685..4.5....7..8..5..8....6..758...8741....  ED=11.8/1.2/1.2
..............1.23.14...5.6..1.6.....7685..4.54...7..8..5..8....6..758...8741....  ED=11.8/1.2/1.2
..............1.23.14...5.6..5..7.....814....16.8.57...865.....54...8..77.16.4...  ED=11.8/1.2/1.2
..............1.23...45.6.1..1.4.....7681...584...6..7.5478....6.81..7..7...6....  ED=11.8/1.2/1.2
..............1.23...45.6.1..1.4.....7681..5.84...6..7.5478....6.81..7..7...6....  ED=11.8/1.2/1.2
........1.....123...4....56..714.....16..8...5..7.6..8.815.4...46...7.8.7.56.....  ED=11.8/1.2/1.2
..............1.23..4.2.56...7..3....8324...714...8.....813..7..21.74....3.8.2...  ED=11.8/1.2/1.2
..............1.23..4.2.56...7.43....832....714...8.....813..7..21.74....3.8.2...  ED=11.8/1.2/1.2
..............1.23...45.6.1..617.....41..8...57..46..8.67.158...8.6.....4.57.....  ED=11.8/1.2/1.2
..............1.23...45.6.1..617.....415.8...57...6..8.67.148...8.6.....4.57.....  ED=11.8/1.2/1.2
..............1.23...45.6.1..617.....415.8...57...6..8.67.1.8...8.6.4...4.57.....  ED=11.8/1.2/1.2
........1......23......4.56..2.43..5.735...8.54.7.8....8...2...3.4.87..27..35....  ED=11.8/1.2/1.2
........1......23.....14.56..6.75....458.....17.64..8..67.5...8.8.1.6...4.1..7...  ED=11.8/1.2/1.2
..............1.23...45.6.1..617.....41..8...57..46..8.67.1.8...8.6.5...4.57.....  ED=11.8/1.2/1.2
........1.....123...4....56....54....6.1.7.8.7.586.....16..8...54..76..88.74.....  ED=11.8/1.2/1.2
..............1.23..4.2.56...7.13....8324...714...8.....8.3..7..21.74....3.8.2...  ED=11.8/1.2/1.2
..............1.23..4.2.56...7.3..8..21.84....3.7.2.....8.43....7321...814...7...  ED=11.8/1.2/1.2
..............1.23.14...5.6..5..7.....814.....6.8.57...865...1.54..18..77..6.4...  ED=11.8/1.2/1.2
..............1.23.14...5.6..5..7.....814.....6.8.57...865....154..18..77..6.4...  ED=11.8/1.2/1.2
..............1.23...45.6.1..617.....41..8...57...6..8.67.158...8.6.4...4.57.....  ED=11.8/1.2/1.2
........1......23......4.56..7..2....8.35....43..78..2.548.....27..43..53.85...7.  ED=11.8/1.2/1.2
........1......23......4.56..7.42....8.53....43.7.8..2.54.8....27...3..53.8.5..7.  ED=11.8/1.2/1.2
........1......23......4.56..2..3..5.73.5..8.54..78....8..42...3.48.7..27..53....  ED=11.8/1.2/1.2
..............1.23...45.6.1..617.....41..8...57...6..8.67.148...8.6.5...4.57.....  ED=11.8/1.2/1.2
........1.....123...4....56....54....7586....64.1.7.8..5..76..8.874.....1.6..8...  ED=11.8/1.2/1.2
........1.....123...4....56..714.....16..8...54.7.6..8.6...7.8..815.4...7.56.....  ED=11.8/1.2/1.2
........1......23.....14.56..6.75....458.....17.6...8..6745...8.8.1.6...4.1..7...  ED=11.8/1.2/1.2
..............1.23..4.2.56...7.43....1...8...8.321...7.48.3..7.2.1.74...3..8.2...  ED=11.8/1.2/1.2
..............1.23..4.2.56...7.43....1...8...8.32....7.4813..7.2.1.74...3..8.2...  ED=11.8/1.2/1.2
..............1.23.14...5.6....64....7685....5..1.7..8.874.....1.5..8...46..758..  ED=11.8/1.2/1.2
..............1.23.14...5.6..714....16.7.58..4.5..8....765.....5...17..88..6.4...  ED=11.8/1.2/1.2
..............1.23.14...5.6..5..7.....814....16.8.57...865.....54..18..77..6.4...  ED=11.8/1.2/1.2
........1......23.....14.56..6.75....458.1....7.6...8..6745...8.8...6...4.1..7...  ED=11.8/1.2/1.2
..............1.23.14...5.6..5..7.....814.....6.8.57...865...4.54...8..77.16.....  ED=11.8/1.2/1.2
..............1.23.14...5.6..5..7.....814.....6.8.57...865....45....8..77.16.4...  ED=11.8/1.2/1.2
..............1.23.14...5.6..5..7.....814.....6.8.57...865...4.5....8..77.16.4...  ED=11.8/1.2/1.2
..............1.23.14...5.6..5..7.....814.....6.8.57...865....454...8..77.16.....  ED=11.8/1.2/1.2
..............1.23.14...5.6..5..7.....814....46.8.57...865.....5....8..77.16.4...  ED=11.8/1.2/1.2
..............1.23.14...5.6..714.....6.7.58..4.5..8....765.....5....7..88.16.4...  ED=11.8/1.2/1.2
..............1.23.14...5.6..7.4.....6.7.58..1.5..8....765.....54..17..88..6.4...  ED=11.8/1.2/1.2
..............1.23...45.6.1..1.47.....681..5.48...6..7.681..7...7..6....5.4.8....  ED=11.8/1.2/1.2
........1.....123...4....56..7.4.....16..8...5..7.6..8.8.5.4...46..17.8.7.56.....  ED=11.8/1.2/1.2
..............1.23...45.6.1..1.47.....681...548...6..7.681..7...7..6....5.4.8....  ED=11.8/1.2/1.2
........1.....123...4....56..7.4.....16..8...54.7.6..8.6..17.8..8.5.4...7.56.....  ED=11.8/1.2/1.2
..............1.23.14...5.6..7.4....1.5..8...46.7.58...765.....5...17..88..6.4...  ED=11.8/1.2/1.2

Hidden Text: Show
Code: Select all
......123.....1..4..5.....6..167.....68.195..79.5.8....1789..6.85.1.....9.6..7...  ED=11.7/1.2/1.2
.......12.....3..4.35........367....6.8.395..97.5.86...96..7...3.789..6.58.3.....  ED=11.7/1.2/1.2
........1....23......145.....6..278..79....1.82....9.6.687..2.92.7....6.91......8  ED=11.7/1.2/1.2
........1....23......145.....2....6..17....8996.8..2.7.29...7.66....289.78.....1.  ED=11.7/1.2/1.2
.......12......345....13.....678...1.79.3....81.9.6....68..97..1.7.6....93...8...  ED=11.7/1.2/1.2
.......12......345....13.....1.6.....37.89...96...78...197.6...6..89...178..3....  ED=11.7/1.2/1.2
........1.......2......3..4..2.35..6.3762.8.56..7.82...86....5.3.5.87...72..6....  ED=11.7/1.2/1.2
........1....23.......45.....1..6.78.7....9..83.....6..187..63.3......1969.3..8.7  ED=11.7/1.2/1.2
........1.......2......3..4..2.35..6.3762.8...5.7.82...86....5.3...87...72.56....  ED=11.7/1.2/1.2
........1.......2......3..4..2.35..6.3762.8...5.7.82...86....5.3.5.87...72..6....  ED=11.7/1.2/1.2
........1.......2......3..4..2.3...5.3652.7.8.8.6.72...75....8.3...76...62.85....  ED=11.7/1.2/1.2
........1.......2......3..4..5.36..7..78..2..38.72.5.6.63.58...2.8.7....57.....6.  ED=11.7/1.2/1.2
........1.......2......3..4..2.35....3672.8..75.6.82...8.....5.3...86.7.62.57....  ED=11.7/1.2/1.2
........1.......2......3..4..2.3.....3562.7.868.5.72...7.....8.3...75.6.52.86....  ED=11.7/1.2/1.2
........1.......2......3..4..2.35....3672.8..75.6.82...8.....5.3.5.86.7.62..7....  ED=11.7/1.2/1.2
........1.......2......3..4..2.35....3672.8.57..6.82...8.....5.3.5.86.7.62..7....  ED=11.7/1.2/1.2
........1....23.......45.....1..6.78.7....9..83.....6...7....19.187..63.69.3..8..  ED=11.7/1.2/1.2
........1.......23....45.....4..6....57.849..86.97.5...98.6..7.6....8...74..5....  ED=11.7/1.2/1.2
........1.......23....45.....4..6....57.849..86.97.5...9846..7.6....8...7...5....  ED=11.7/1.2/1.2
........1.......23....45.....4..6....57.849..86.97.5...4..5.....98.6..7.6..7.8...  ED=11.7/1.2/1.2
..............1.23....45..6..3.1...7.62....817.....36..37......28....71.6.18....2  ED=11.7/1.2/1.2
..............1.23....45..6..1...7...7486....85........6851....41..76...5..4.8.6.  ED=11.7/1.2/1.2
..............1.23....45..6..3.1.2.7.62....817.....36..371.....28....7..6.18.....  ED=11.7/1.2/1.2
..............1.23....45..6..3.1.2.7.62....817.....36..37......28....71.6.18.....  ED=11.7/1.2/1.2
..............1.23....45..6..3...2.7.62....8171....36..371.....28....7..6.18.....  ED=11.7/1.2/1.2
..............1.23....45..6..3.....7.62....8171....36..371.....28....7..6.18....2  ED=11.7/1.2/1.2
..............1.23....45..6..1...7...7486....85....6...6851....41..76...5..4.8...  ED=11.7/1.2/1.2
..............1.23....45..6..1..47...7486....85........6851....41..76...5....8.6.  ED=11.7/1.2/1.2
..............1.23....45..6..3.1...7.62....817.....36..371.....28....7..6.18....2  ED=11.7/1.2/1.2
..............1.23....45..6..1..47...7486....85....6...6851....41..76...5....8...  ED=11.7/1.2/1.2
........1.......2......3..4..5.36..7.6.8..2..83.72.5...28.7....6.3.58...75.....6.  ED=11.7/1.2/1.2
........1.......2......3..4..3.56....2678....85.....7...5.37..8.7.6..2..63.82.5..  ED=11.7/1.2/1.2
........1.......2......3..4..3.56....2678....85.....7...5.3...8.7.6..2..63.82.5.7  ED=11.7/1.2/1.2
........1.......2......3..4..3.56.7..2687.....5.....8...5.38....876..2..63.72.5..  ED=11.7/1.2/1.2
........1.......2......3..4..3.56.7..2687.....5.....8...5.3.....876..2..63.72.5.8  ED=11.7/1.2/1.2
........1.......2......3..4..5....6..72.8....63..57.8..5..36....867..2..7.382.5..  ED=11.7/1.2/1.2
........1.......2......3..4..5....6..72.8....63..57.8..5..36....8.7..2..7.382.5.6  ED=11.7/1.2/1.2

Hidden Text: Show
Code: Select all
........1......234.....2.56.15.27...2.8.9.5..97.5.81...2987....7.1..9...85.2.1...  ED=11.6/1.2/1.2
.......12......3.4......567..8.12....6239....19.6.8....3918....6.12.3...82..69.3.  ED=11.6/10.7/9
.......12......345.....16....6.78....791.3...83.96..7..1763....3.8.197..69.8.....  ED=11.6/1.2/1.2
.......12......345.....16.7..6.78....791.3...83.96.....1763....3.8.197..69.8.....  ED=11.6/1.2/1.2
........1......23.......456..7.18....6829....19.6.7....2917...86.18.2...7...69..2  ED=11.6/1.2/1.2
.......12......3.4.....5.67.34.68...5.893....69.5.4....59.8....38...94..4.6.53...  ED=11.6/1.2/1.2
.......12......345.....16.7..8.76....371.9...69.38.....196.87..3.67.....8...93...  ED=11.6/1.2/1.2
........1......234.....2.56..7..8....59.21...82.79..1..78.59...51.2.7...9.28..5..  ED=11.6/1.2/1.2
.......12......345.....3..6..7..81...93.61...18.79.6...7.9.6...36.81....8.9.37...  ED=11.6/1.2/1.2
.......12......345....13.....678.....79..1...83.6.9.7..173.6...3.819.7..69...8...  ED=11.6/1.2/1.2
...............123.....1.45..6..7....48.19...71.68..9..67.489..49.1.6...8.17..4..  ED=11.6/1.2/1.2
...............123.....1.45..6..7....48.19...71.68..9..67.48...49.1.6...8.179.4..  ED=11.6/1.2/1.2
........1......234.....456...4.78....795.1...81.94.7...58..9...14..57...9.718....  ED=11.6/1.2/1.2
.......12......345.....16.7..8..6....37.19...69.83..7..19.68...3.6.7....87.9.3...  ED=11.6/1.2/1.2
.......12.......34....156.7..678.....79..1...85.6.9....175.6...5.819.7..69...8...  ED=11.6/1.2/1.2
.......12.......34....156....678.....79..1...85.6.9.7..175.6...5.819.7..69...8...  ED=11.6/1.2/1.2
........1......234....25..6..257.....8..96...9.72.8.6..7598....29.6.75..8.6..2...  ED=11.6/1.2/1.2
........1......234....25.....256.....7..89...8.62.7.9..6587.9..28.9.65..7.9..2...  ED=11.6/1.2/1.2
........1...234.....2..5.....6....78.7..8.9.68.9...12..271...891.8...6.296.8..7..  ED=11.6/1.2/1.2
........1...234.....2..5.....6....78.2....19.79..8.2.6.198..76.2.71..8.968......2  ED=11.6/1.2/1.2
.......12......345.....36.7..8..9....63.71....9.86.7...816.7...37.91....9.6.38...  ED=11.6/1.2/1.2
.......12......345.....36.7..869.....367.1...79...8....19.6....3.718....86.3.9.7.  ED=11.6/1.2/1.2
........1......234.....456...4.78....795.1...81.94.7...58..9..714..57...9..18....  ED=11.6/1.2/1.2
.......12......345.....36...1678....37..69.8.8.9.......3791.8..1.8.36...96...7...  ED=11.6/1.2/1.2
........1......23......456...1.57....584.9...74.81.9...17..8..959..41...8.4.7....  ED=11.6/1.2/1.2
........1....23......145.....6....7..18...29.79..8.1.6.298..76.1.7...8.26..2....9  ED=11.6/1.2/1.2
........1....23.....1.45.....6....7..18...49.79..8.1.6.498..76.1.7...8.46..4....9  ED=11.6/1.2/1.2
........1.......23....45..6..7..8....45.96...98..7...5.59.876..4.86.....76.9.45..  ED=11.6/1.2/1.2
........1.....2.34.25.....6..7.89..2.69.5.....8.7......7892.6..6..8.5...95..672..  ED=11.6/1.2/1.2
........1....23.....1.45.....6....7..18...49.79..8.1.6.49...76.1.7...8.468.4....9  ED=11.6/1.2/1.2
........1....23......145.....6....7..18...29.79..8.1.6.29...76.1.7...8.268.2....9  ED=11.6/1.2/1.2
........1...234.....2.15.....6....78.79...1..82..7.96...87...19.17...62.69....8..  ED=11.6/1.2/1.2
.......12......345.....3..6..7..81...93.61...18.79.....7.9.....36.81....8.9.37.6.  ED=11.6/1.2/1.2
.......12......345.....16....7..6....38.19...69.73..8..19.678..3.6.8....7..9.3...  ED=11.6/1.2/1.2
.......12.....34....3....56..748.9...349.5....8...7....58.4....3.957....74.3.8.9.  ED=11.6/1.2/1.2
.......12......345.....36....7..8....63.91....8.76.9...716.....39.81....8.6.37.9.  ED=11.6/1.2/1.2
.......12......3.4.....5.67..5.48....496.3...83.95.....68..94..35...4...9..38.6..  ED=11.6/1.2/1.2
.......12......345.....46.7..4.28....296.1...81.9......68..9.2.14...2...9..18..6.  ED=11.6/1.2/1.2
.......12......345....136....3.7.....673.8.9.81..6.....89..7...63.9.1...7..68.9..  ED=11.6/1.2/1.2
.......12......3.4.....5.67..5.48....496.3...83.95..4..68..9...35...4...9..38.6..  ED=11.6/1.2/1.2
.......12.....3.45..3...6.7..869.4...36..7...94...8....698...7.3...79...87.4.6...  ED=11.6/1.2/1.2
.......12.....34....3....56..7.34.....895.7..49...85...793.....5.487....8...49.7.  ED=11.6/1.2/1.2
.......12.....34....3....56..7.34.....895....49.7.85...793.....5.487....8...49.7.  ED=11.6/1.2/1.2
.......12......345.....46.7..4.28....296.1...81.9..2...68..9...14...2...9..18..6.  ED=11.6/1.2/1.2
........1......234.....456...4.78....795.1...81.9..7...58..9..714...7...9..18...5  ED=11.6/1.2/1.2
........1......234.....456...4.78....795.1...81.9..7...58..9...14...7...9.718...5  ED=11.6/1.2/1.2
........1......23......456...4.78....795.1...81.94.7...58..9..714...7...9..18...5  ED=11.6/1.2/1.2
........1......23......456...4.78....795.1...81.94.7...58..9...14...7...9.718...5  ED=11.6/1.2/1.2
........1.....1.2.....234.5..67......87.36...32.18.....12..87..6.3......87.26.1.3  ED=11.6/1.2/1.2
........1.....1.2.....234.5..67.2....87.36...32.18.....12..87..6.3......87..6.1.3  ED=11.6/1.2/1.2
........1.......2.....1345...67......87.36...31.28.....21..87..6.3.2....87.16.23.  ED=11.6/1.2/1.2
........1.......2.....1345...67.1....87.36...31.28.....21..87..6.3.2....87..6.23.  ED=11.6/1.2/1.2
.......12.....3..4..1....56.3..47....873.9..19..18.....497..1..7...984..8.3......  ED=11.6/1.2/1.2
.......12.....3..4..1....56.3..47....87..9..19..18.....4973.1..7...984..8.3......  ED=11.6/1.2/1.2
........1.......23....45..6..4.76....7849...59....8....967..5..7.5.896..84.6.....  ED=11.6/1.2/1.2
........1.......23....45..6..4.76....7849...59....8....967..5..7.5.896..84..5....  ED=11.6/1.2/1.2
........1.......23....45..6..7..8....45.96...98.47.....59.876..4.86.....76.9..5..  ED=11.6/1.2/1.2
........1.....2.34.25.....6..2.75....87.9.6..9..6.82...695......7..8....5.87.9..2  ED=11.6/1.2/1.2
........1.....2.34.25.....6..2.75....87.9.6..95.6.82....87.9..2.695......7..8....  ED=11.6/1.2/1.2
........1....23.....2145.....6....7..786..2.991.2....8..7...68..69....128.....9.7  ED=11.6/1.2/1.2
........1.....234.....53.6...27.81...8..35...75.21.....28..7...17..8..235.3......  ED=11.6/1.2/1.2
........1.....234.....53.6...27.81...81.35...75.2......28..7....7..8..235.3..1...  ED=11.6/1.2/1.2
........1.....1.2...3...45...612.7...2.3.8....8..7623..3876....26...3...7.18.....  ED=11.6/1.2/1.2
........1.....1.2...3...45...6.2.7...2.3.8...18..7623..3876....26..13...7..8.....  ED=11.6/1.2/1.2
........1.......2.....1345...617.23..37..8...21...68...7.8.....1.326....68..37...  ED=11.6/1.2/1.2
........1.......2.....1345...6.7.23..37..8...21...68...7.8.1...1.326....68..37...  ED=11.6/1.2/1.2
...............123.....1.45..4.67....8145....67.1.8....57..6...4.6.8.5..81...47..  ED=11.6/1.2/1.2
...............123.....1.45..4.67....81.5....67.1.8..4.57..6...4.6.8.5..81...47..  ED=11.6/1.2/1.2
...............123.....1..4..5.67....81.4....67.1.8..5.47..65..5.6.8.4..81...57..  ED=11.6/1.2/1.2
........1....23.....2145..........6..678..2.991.....87..6..287..89....1.7.....9.6  ED=11.6/1.2/1.2
........1....23.....2145.....6....7..786..2.991......8..7..268..69....1.8.....9.7  ED=11.6/1.2/1.2
........1.....1.2...3...45...6.37.....821.6...7...823..3786....28...3...6.1.7....  ED=11.6/1.2/1.2
........1.....1.2...3...45...6.2.7....73.8...18...623..3876....26..13...7..8.....  ED=11.6/1.2/1.2
........1.......2......3..4..3.56.7..2687....75.3...8...5..8....8.6..2.36..72.5..  ED=11.6/1.2/1.2
........1.......2......3..4..3.56.7..2687....75.3...8...5.......8.6..2.36..72.5.8  ED=11.6/1.2/1.2
........1.......2......3..4..3.56.7..2687....75.....8...5.38....8.6..2.36..72.5..  ED=11.6/1.2/1.2
........1.......2......3..4..3.56.7..2687....75.....8...5.3.....8.6..2.36..72.5.8  ED=11.6/1.2/1.2
........1.......2......3..4..5.6...3.6.27.8..82...5....78.3..5.35.8.6.7.6.27.....  ED=11.6/1.2/1.2
........1.......2......3..4..2..5.....627.8...5..68..3.87.3..5.3.58.6.7.62.7.....  ED=11.6/1.2/1.2
........1.......2......3..4..5..6....6..7.2.37..28.5...278.....6.35.7.8.85..3..6.  ED=11.6/1.2/1.2
........1.......2......3..4..5.6...3.6.27.8..82.3.5....78....5.35.8.6.7.6.27.....  ED=11.6/1.2/1.2
........1.......2......3..4..2.35.....672.8...5.6.8..3.87....5.3.5.86.7.62..7....  ED=11.6/1.2/1.2
........1.......2......3..4..5.36....6.7..2.37..82.5...27.8....6.3.57.8.85.....6.  ED=11.6/1.2/1.2
........1.......2......3..4..3.56.7..2687....75.3...8..8.6....32.5..8...6..72.5..  ED=11.6/1.2/1.2
........1.......2......3..4..3.56.7..2687....75.3...8..8.6....32.5......6..72.5.8  ED=11.6/1.2/1.2
........1.......2......3..4..2..5.....627.8...5..68..3.87.3..5.3..8.6.7.62.75....  ED=11.6/1.2/1.2
........1.......2......3..4..2........526.7.8.8..57..3.76.3..8.3..7.5.6.52.68....  ED=11.6/1.2/1.2
........1.......2......3..4..3.56.7..2687....75.....8..8.6....32.5.38...6..72.5..  ED=11.6/1.2/1.2
........1.......2......3..4..3.56.7..2687....75.....8..8.6....32.5.3....6..72.5.8  ED=11.6/1.2/1.2
........1.......2......3..4..2.35.....672.8...5.6.8..3.87....5.3...86.7.62.57....  ED=11.6/1.2/1.2
........1.......2......3..4..2.3......562.7.8.8.5.7..3.76....8.3...75.6.52.86....  ED=11.6/1.2/1.2
........1.......2......3..4..3.56....2678.....5.....7...5.37....786..2.36..82.5..  ED=11.6/1.2/1.2
........1.......2......3..4..3.56....2678.....5.....7...5.3.....786..2.36..82.5.7  ED=11.6/1.2/1.2
........1.......2......3..4..3.56....2678.....5.3...7...5.......786..2.36..82.5.7  ED=11.6/1.2/1.2
........1.......2......3..4..3.56....2678.....5.....7..786....32.5.3....6..82.5.7  ED=11.6/1.2/1.2
........1.......2......3..4..3.56....2678.....5.3...7...5..7....786..2.36..82.5..  ED=11.6/1.2/1.2
........1.......2......3..4..3.56....2678.....5.3...7..786....32.5..7...6..82.5..  ED=11.6/1.2/1.2
........1.......2......3..4..3.56....2678.....5.3...7..786....32.5......6..82.5.7  ED=11.6/1.2/1.2
........1.......2......3..4..2..5.....627.8..57..68..3.3.8.6...26.75....8...3..5.  ED=11.6/1.2/1.2
........1.......2......3..4..2........526.7.868..57..3.7..3..8.3..7.5...52.68....  ED=11.6/1.2/1.2
........1.......2......3..4..3.56....2678.....5.....7..786....32.5.37...6..82.5..  ED=11.6/1.2/1.2
........1.......2......3..4..2.35.....672.8..57.6.8..3.3..86...26.57....8......5.  ED=11.6/1.2/1.2
........1.......2......3..4..2.3......562.7.868.5.7..3.7.....8.3...75...52.86....  ED=11.6/1.2/1.2
........1.......2......3..4..5....6..72.8....63..57....5..36....8.7..2.37..82.5..  ED=11.6/1.2/1.2
........1.......2......3..4..5.3..6..728.....63.5.7....8..7...325...6...7..28.5..  ED=11.6/1.2/1.2
........1.......2......3..4..5....6..72.8....63..57....8.7....325..36...7..82.5..  ED=11.6/1.2/1.2
........1.......2......3..4..2..5.....627.8...7..68..3.358.6...26.7.....8...3..5.  ED=11.6/1.2/1.2
........1.......2......3..4..5..6.....7.8.2.3.8.27.5...635.8...2.87.....5...3..6.  ED=11.6/1.2/1.2
........1.......2......3..4..2.35.....672.8...7.6.8..3.35.86...26..7....8......5.  ED=11.6/1.2/1.2


I expect we will get some more 30c soon, as the adder script is working its way up the clue count. Maybe we'll even see a 31c after that.
mith
 
Posts: 888
Joined: 14 July 2020

Re: The hardest sudokus (new thread)

Postby JPF » Wed Mar 02, 2022 7:51 pm

FWIW

Out of the 146 11.8s given here only 17 puzzles are not equivalent after singles.
For example the 64 puzzles 1 to 32 and 50 to 81 are equivalent after singles:
Code: Select all
                                                                                               
   #                                                   Puzzles                                                                                                     
   1   ........1.......2......34.5..2.......3..67..886.24.7...2648....3.87.6.4.47..3..8.      
  10   ........1.......2......34.5..3.6...7.7624.8..28.3......48....7.6.247....73.8.6.4.      
  50   ........1.......2......34.5..3.6.2...7...8....8624.7...47.3..8.6.24.....83.7.6.4.      
  60   ........1.......2......34.5..3.6...7..624.8..28.3.7....48....7.6.24.....73.8.6.4.      

 Minlex puzzles 1-32 and 50-81 after singles:
Code: Select all
........1.......2......34.5.26.37..434.8.62.78.742.6...73.68.4.28.74....6.43...7.

JPF
JPF
2017 Supporter
 
Posts: 6002
Joined: 06 December 2005
Location: Paris, France

Re: The hardest sudokus (new thread)

Postby mith » Wed Mar 02, 2022 8:27 pm

Yeah, running the whole set of 11.8+ puzzles, there are currently 348 unique minimals from 126 unique expanded forms.

That batch of 64 is the largest, from a 34c expansion. Here's the whole list, in as readable a form I can manage via text - I'll get this up in a spreadsheet and/or csv sometime soon:

Code: Select all
(not expanded)
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. ED=11.9/11.9/11.8 22c GP/champagne dry
98.7.....6.....87...7.....5.4..3.5....65...9......2..1..86...5.....1.3.......4..2 ED=11.9/11.9/11.6 23c GP/kz0
.......39.....1..5..3.5.8....8.9...6.7...2...1..4.......9.8..5..2....6..4..7..... ED=11.9/11.9/11.3 21c tarek/-pearly6000-1812Golden_Nugget
12..3....4....1.2...52..1..5..4..2......6..7......3..8.5....9....9.7..3......8..6 ED=11.9/11.9/11.3 23c elev/second flush
12.3.....4.....3....3.5......42..5......8...9.6...5.7...15..2......9..6......7..8 ED=11.9/11.9/ 9.9 22c eleven/Kolk
........1....23.45..51..2....25...1..6...27..8...9......42....7.3...6...9...8.... ED=11.9/11.9/ 9.9 23c dob/12_12_03
12.3.....4.5...6...7.....2.6..1..3....453.........8..9...45.1.........8......2..7 ED=11.9/11.9/ 2.6 22c eleven/Patience
.......12......345..3..46....2..1.3..7..6....8..9.......5..2..4.6..8....9..7..... ED=11.8/11.8/11.7 22c dob/12_12_03
1.......9..67...2..8....4......75.3...5..2....6.3......9....8..6...4...1..25...6. ED=11.8/11.8/11.6 22c eleven/puzzles22c-7
........6..5..18...9...8.7....8.2.....3.1.2..4..5.3....6.....9...83..1..7.......4 ED=11.8/11.8/11.5 22c tarek/-pearly6000-3091tarx0075
98.76....54.........7..59..4....75.....3...2.....1...6.9...87....4....1....2....3 ED=11.8/11.8/11.5 23c GP/kz1a
98.7.....6...5......4..93..5......6..7..8......9..24....1.....4....9.1.......1.32 ED=11.8/11.8/11.4 22c GP/H1
2.......6.5..8..1...4...9...7.3.1......82.......7.5.3...9...4...8..1..5.6.......2 ED=11.8/11.8/11.4 22c tarek/-ultra0203pearly6000-1225
1.......2..94...5..6....7.....89..4....3.6.....8.4.....2....1..7.......6..5.8..3. ED=11.8/11.8/11.2 21c gsf/gsf-2007-05-24-0032
6.......2.9.4...5...1...7...5..84.......2.......3.5.4.2.....6...3...9.8...7.....1 ED=11.8/11.8/11.1 21c coloin/coloin-04-10
1.......2.9.4...5...6...7...5.3.4.......6........58.4...2...6...3...9.8.7.......1 ED=11.8/11.8/10.8 21c coloin/coloin-04-10
..1.....2.3...4.5.6...2.7.......5.....8.7.1...9.3.......7.6...8.4.....9.8.....2.. ED=11.8/11.8/10.7 21c SSX/2019_3_5
12.3.....4...5......6..17..5..2......3..1..4...1..68....9....7....1..9.......9.68 ED=11.8/11.8/10.7 23c eleven/First_Peak
98.7.....7...6.9....5....4..9.3..8....2.....1.....4.5..3..7.6.....8...7......1..2 ED=11.8/11.8/10.6 22c PAQ/2019_03_18
........1.....2.3...4.5.6....7.8.....1......96..4..7....85.....59...3.2.7...6.5.. ED=11.8/11.8/10.5 22c dob/12_12_03
........94....92......7..45..1.3.....7.6..9..8....7..2.3.7..8....6.1....9....5.2. ED=11.8/11.8/10.5 23c eleven/puzzles23c-6
1.......2.3.4...5...6...7...5.9.4.......23......8...9...2...6...9...8.4.7.......1 ED=11.8/11.8/10.4 21c champagne/h54autres_1
1.......2.3.4...5...6...7...5.8.4.......29......3...9...7.....1.9...8.4.2.....6.. ED=11.8/11.8/10.4 21c champagne/h54autres_4
.2...1......6...3...9.8...7..5....78.3.....6.8...4.5....4.9.7...1.2.....9.......5 ED=11.8/11.8/10.0 22c col/2015_08
...4...8...7..92......3...526...1.....19......7....1..5......4..1.8....3..6..29.. ED=11.8/11.8/ 9.9 22c eleven/puzzles22c-15
.2.4..7....6.....17...3......5....6..4.2..9.......5..8..1..8....9..7.......92.3.. ED=11.8/11.8/ 9.8 21c elev/10
.......12.....3..4..2.4.5....4.5..2..6....7..8..9..4....7.1...5.3...8...9..6..... ED=11.8/11.8/ 9.4 22c dob/12_12_03
........1.....2.3...4.5.6.......1.2....3.7..8.6..9.7...598......76..5...4...7.5.. ED=11.8/11.8/ 8.3 23c dob/12_12_17s
1.......9.5....2....87...4.2...3......48.5....8.6...7...6..4.5.........1....9.3.. ED=11.8/11.8/ 7.9 21c elev/11
5.......9.2.1...7...8...3...4.6.........5.......2.7.1...3...8...6...4.2.9.......5 ED=11.8/11.8/ 3.4 20c m_b_metcalf/puzzles20c-1
..3.8....7..2......6...9.1.........3.....596..9.....54.1...45..8...3......27..... ED=11.8/11.8/ 3.4 21c tax/tarek071223170000-
1.......6.5.7...8...3...4.....5.8.9.....3.....8.92....6.....3...7...5.2...4.....1 ED=11.8/11.8/ 3.4 21c col/H1
........1..2..3.4..4..5.6......1.5.....6....78....4.3..8...9.2.2.37.....9...2.... ED=11.8/11.8/ 3.4 22c dob/12_12_03
98.76....75....9....6......8...4..3..2......1..95..8....86..5......3...4.....1.2. ED=11.8/11.8/ 3.4 23c GP/KZ1C
1......8......92....6.3...52....8.....5.7.....6.5....4..47...........91..3..6...7 ED=11.8/11.8/ 2.6 21c elev/14
........1.....2.3....14.5....3.....6.5.7..4..8.......2..6..8..5.4.51.....9..7.1.. ED=11.8/11.8/ 2.6 22c dob/2012_11_10
98.7.....6..89......5..4...7...3.9....6...7....2....41.6..8.3.......1..5.......2. ED=11.8/11.8/ 2.6 22c GP/H2
98.7.....6..89......1..4...7...3.9....6...7....2....51.6..8.3.......5.4.........2 ED=11.8/11.8/ 2.6 22c col/2012_11_10
98.7.....6..89......5..4...7...3.9....6...7....2....51.6..8.3.......1.4.........2 ED=11.8/11.8/ 2.6 22c GP/H3
........1.....234..34....2.......1.5.....3.6....15...7.68..4...7...9....9..5....3 ED=11.8/11.8/ 2.6 22c mith/puzzles22c-1443414
98.7.....7.....9....2.95...47........3.4..7....6....1....84.3.......6..2.....2..1 ED=11.8/11.8/ 2.6 22c col/2015_08
........1....23.....45...2...3..5.6..6....1..78.6....9..6.5.....1.4....89.....7.. ED=11.8/11.8/ 2.6 22c mith/puzzles22c-1416396
..34...8.......1.37........2...9.......5..8...6...7.4...51....8.7...5...9...62.5. ED=11.8/11.8/ 2.6 22c eleven/puzzles22c-22
........1....23.4.....452....1.3.....3...4...6..7....8..6.....9.5....62.7.9...1.. ED=11.8/11.8/ 2.6 22c mith/puzzles22c-500218
........1.....2.3...4.5.6....748.....3...1..84.85......4....7...9.....237...6.8.. ED=11.8/11.8/ 2.6 23c mith/puzzles23c-3901278
........1.....2.34....3.56...2.46....7.8......8.9....6..4....5.71......98.....1.7 ED=11.8/11.8/ 2.6 23c mith/puzzles23c-3055268
........1.....2.34....3.56...2.46....7.8......8.9....6..5....4.71......98.....1.7 ED=11.8/11.8/ 2.6 23c mith/puzzles23c-3055179
........1.....2.34....3.56...2.46....7.8.....8..9....6..4....5.18......77.....1.9 ED=11.8/11.8/ 2.6 23c mith/puzzles23c-3055269
........1.....2.34....3.56...2.46....7.8.....8..9....6..5....4..8....1.771......9 ED=11.8/11.8/ 2.6 23c mith/puzzles23c-3055127
........1.....2.34....3.56...2.64....7.8.....8..9....6..5....4..8....1.771......9 ED=11.8/11.8/ 2.6 23c mith/puzzles23c-3055042
98.7.....76..8......5......8..9..4....3....2......1..5...46.7......9.6.2.....2.34 ED=11.8/11.8/ 2.6 23c PAQ/2019_05_01

........1..2..3.4..5..6.7.......71.6.1...58.44......9...32......8..76...9..3..... 23c
  5.6...7...1.3.....8...5.9.....1...2.....8.6.7.....2.4.7...9...6.3...42....5...... ED=11.9/ 1.2/ 1.2 22c OW/2015_08

.......12....13..4..12..5....46....5.7....6..86..9......64...5..9...7...3...8.... 23c
  ..3..6.8....1..2......7...4..9..8.6..3..4...1.7.2.....3....5.....5...6..98.....5. ED=11.9/ 1.2/ 1.2 22c eleven/Imam_bayildi

........1.....2.......3..45.16.23...27.8.61..3.871.6...32.68..718..7....6.7...... 29c
  57....9..........8.1.........168..4......28.9..2.9416.....2.....6.9.82.4...41.6.. ED=11.9/ 1.2/ 1.2 26c mith/Loki
  ........1.....2.......3..45..1.23....267.81..73.61.8...17.6.....8.......2.3.87..6 ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4691076

........1.......2...3..45......6...7..5..8....9.3..4...39..58...8.9.....2..81..7. 22c
  ........9.......8..7..6.5.....4...3..5..2....1....76..71..5.2..2....1.....98....3 ED=11.8/ 1.2/ 1.2 21c mith/puzzles21c-119784

........1.....2.3....14.5....2....6..3......78..9..4...68..7...4..81....9...5.8.. 22c
  .....6..94...8.2.....7...1.2.9...8....4.3.9...6.....5.3.8.4.......5......7...1... ED=11.8/ 1.2/ 1.2 21c elev/4

........1.....2.3...4.5.6.....7...8...6.9...5.2...3....7.8.9...6...1...99.1...4.. 22c
  1....6.......8.2...9.7....5.7.3...5......16....4....73..59....48...2.....3....... ED=11.8/ 1.2/ 1.2 21c elev/L1

........1..2..3.4..5..6.7.......1.8....4....32...9.6....9.2.5..56.8.....72....... 22c
  ..3..6.8....1......9..7...4...8..6..3...4...2.....5.1...2.9...37........94....5.. ED=11.8/ 1.2/ 1.2 21c elev/6

.......12....13.4...14..5....2.....5.3..6....7....8.....41...5..6..3.9..8....7... 22c
  .......12.....3..4..2.4.5....1....5..3.6.....7....8.....4.2...5.6.3..9..8....7... ED=11.8/ 1.2/ 1.2 21c dob/12_12_03

.....1..2....3..4....5..6....1..2....7......89...4.3...98.....73..9...5.5...6.9.. 22c
  ........1.....2.3....45.6....3....7..4..6....5..8..9....7..1..2.8.6..5..9...4.... ED=11.8/ 1.2/ 1.2 21c mith/puzzles21c-570833

........1.....2.3....14.5....3.....6.7.....828..9..1...86..7...4..89....5...1.8.. 23c
  .2....78.4.......6.9..7..1....5....3.....1.......9.12..7..1.8..5....4.....67.3... ED=11.8/ 1.2/ 1.2 22c elev/7

........1.....2.3....45.6....1.7..62.8.6..7..67.........3..9...4..5..8..85.7..... 23c
  ........1.....2.3....45.6....1.7...2.8.6..7..67.........3..9...4..5..8..85.7..... ED=11.8/ 1.2/ 1.2 22c dob/12_12_17s

........1.....2.3...4.5.6...16....27.4....8..8...6.9...7...3...4.58.....6..59.... 23c
  68.7.....3..89......1..4...7...3.9....6...7....2....51.6..8.3.......5.4.........2 ED=11.8/ 1.5/ 1.5 22c col/2012_11_10

........1.....2.3...4.5.6...16....72.4....8..8...6.9...7...3...4.58.....6..59.... 23c
  68.7.....3..89......5..4...7...3.9....6...7....2....51.6..8.3.......1.4.........2 ED=11.8/ 1.5/ 1.5 22c col/2012_11_10

........1.....2.3...4.5.6...3...1...4.78.....6..54.....4....7...96....127...6.8.. 23c
  ........1.....2.3...4.5.6...3...1...4.78.....6..54.....4....7...9.....127...6.8.. ED=11.8/ 1.5/ 1.5 22c mith/puzzles22c-134784

........1.....2.3...4.5.6...37....82.4....7..6..7..9...8...1...4.56.....7..59.... 23c
  ........1.....2.3...4.5.6...3.....72.4....8..6..8..9...7...1...4.56.....8..59.... ED=11.8/ 1.2/ 1.2 22c dob/12_12_03

........1....12....134...5.....6...2.7....53..8.5..4...378.....1....9...94....7.. 23c
  ........1....12.....34...5.....6...2.7....53..8.5..4...378.....1....9...94....7.. ED=11.8/ 1.2/ 1.2 22c mith/puzzles22c-1688447

........1....23.....45...6...5..17...7.8...5.9....5..3.56....7..894.....2.......9 23c
  ........1....23.....45...6...5..17...7.8...5.9....5..3.56....7..8.4.....2.......9 ED=11.8/ 1.2/ 1.2 22c mith/puzzles22c-1931999

........1..2..3.4..4..5.6.....36...5.3.1..7..2....8.3...9.3...7.2...4.9.8........ 23c
  ........1..2..3.4..3..5.6......6...7..8..2.3..7.1..5....9.2...3.8...9...4......9. ED=11.8/ 1.2/ 1.2 22c dob/12_12_03

........1..2..3.4..4.15........6.15..5.7..48.8.......9..3..2....7..1.6..9.......8 23c
  98.7.....6...5.8....4....3.7..9..5....3....4......2..1.6...1..2..9.........89.6.. ED=11.8/ 1.2/ 1.2 22c monh/puzzles22c-1374322

........1..2..3.4..5..6.7.......1.3....4....85...7.2....5.2.9..29.....8.76.9..... 23c
  ........1..2..3.4..5..6.7.......1.3....4....85...7.2....5.2.9...9.....8.76.9..... ED=11.8/ 1.2/ 1.2 22c DOB/13_01

.......12.....3..4..4.2.5....2.6...5.7....6..86.9.......6.1..5..9...8...3..7.6... 23c
  .......12.....3..4..4.2.5....2.6...5.7....6..8..9.......6.1..5..9...8...3..7.6... ED=11.8/ 1.2/ 1.2 22c dob/12_12_03

.......12....13..4..14..5....26...5..7....6..8...9.4....41....5.3..8....9....7... 23c
  .......12.....3..4..1.4.5....2.6..5..7....6..8..9..4....4.1...5.3.8.....9....7... ED=11.8/ 1.2/ 1.2 22c dob/12_12_03

.......12....13.45..14..6....45....1.7....2..8...9......61...2..9..8....3....7... 23c
  .....6.8....1..2...9..7...5..5.4...734...8...97.........9...6..7...3...4...2...1. ED=11.8/ 1.2/ 1.2 22c elev/5

.....1..2....2..3...24..5....1..46...7......38......9...6.4.....3.6....79..5...86 23c
  98.7.......7.6.........57..4...3..2..1...6..3...9..8..2......4..3......1..86..5.. ED=11.8/ 1.2/ 1.2 22c GP/cy4

.....1..2..2....3..4..5.6.......7.16.8..6....6..5..9....3..5..7.5.8.....9...4.5.. 23c
  9..8..7...8..6......5....4.6...9.....3.7..9.......2..5.9..3.8....4.....1.....1.2. ED=11.8/ 1.2/ 1.2 21c GP/2012_04

........1.....2.3...4.5.6.....3.7.8..6..1.7.3.7....1.4.46.7....28...9...9..8..... 24c
  5.6...7...1.3.....7...5.8.....1...2.....7.6.8.....214.8...9...6.3...4.....5...... ED=11.8/ 1.2/ 1.2 22c OW/Lightsaber

........1.....2.3..34.5..2.....35..6.652...4.7...46......5..8...52..4.6.9........ 24c
  98.7..6....5.96........4.9.87..6.9....3.........8....246...87......7.4.........1. ED=11.8/ 1.2/ 1.2 23c PAQ/2018_11_28

........1..1..2.3..4..5.2.......6.....37...2686....9....6..7..2.5.4..6..9...6..8. 24c
  98.7..6....5.4...........9.8..9...6..4..5...9..9..32..1.........7.1...8...8..2..3 ED=11.8/ 1.2/ 1.2 23c GP/12_05
  98.7.......6.5.4.........9.3..9..2...7..8...9..9..5.4.2..5....3..1.6..5......1... ED=11.8/ 1.2/ 1.2 23c GP/12_07

.......12..1..3.4..4..1.5....6..7....2..4...58..3.......7.98....9..3..5.3..6..9.. 24c
  .2.4..7...5...9.3.6...7......5..8.9.7...2.....4.6..3.......1..85......1...1...9.3 ED=11.8/ 1.2/ 1.2 23c eleven/puzzles23c-11

........1.....2.....3.4..5.....3.5.4..5..67.3.3.....6..87.64.3.3.6.5..4.9..8.3... 26c
  98.76.5..7..4..6....3..8...5..6..4......2...........1.4...7...9.5....7.....5...64 ED=11.8/ 1.2/ 1.2 23c PAQ/2019_04_28
  98.76.5..7.54..6....3..8...5..6..4......2...........1.4...7..59...5...64......7.. ED=11.8/ 1.2/ 1.2 24c PAQ/2019_04_28

........1......23......4..5...26.....23.784..86.4.3....786.....34.8.2...6.2.47.8. 28c
  ........1......23......4..5...26.....23.784..86...3....7.6.....34.8.2...6.2.47.8. ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-3412155

..............1.23...45.6.1..1.47....7681...584...6..7.5478....6.81..7..7...6.... 29c
  ..............1.23...45.6.1..1.47.....681...548...6..7.681..7...7..6....5.4.8.... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4721522
  ..............1.23...45.6.1..1.4.....7681...584...6..7.5478....6.81..7..7...6.... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596072

..............1.23...45.6.1..1.47....7681..5.84...6..7.5478....6.81..7..7...6.... 29c
  ..............1.23...45.6.1..1.47.....681..5.48...6..7.681..7...7..6....5.4.8.... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4721521
  ..............1.23...45.6.1..1.4.....7681..5.84...6..7.5478....6.81..7..7...6.... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596069

........1......23......4..5...26.....23.784..86.4.3....7863....34.8.2...6.2.47.8. 29c
  ........1......23......4..5...26.....23.784..86.4.3....7.63....34.8.2...6.2..7.8. ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-3023057

........1......23......4.56....43..5.3752..8.5.47.8.2...84.....34..87...7.235.... 29c
  ........1......23......4.56....43..5.3752..8.5.47.8.2...8......34..87...7.235.... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3581915
  ........1......23......4.56.....3..5.3725..8.5.4.78.2...8.4....34.8.7...7.253.... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3582029

........1......23.....14.56..7..6....86.5...741..78.....864..7..547.1...76..85... 29c
  ........1......23.....14.56..6.75....458.1....7.64..8..67.5...8.8...6...4.1..7... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4709995
  ........1......23.....14.56..7..6....86.5...741..78.....864..7..54..1...76..85... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3581992

........1.......2......3..4.25.367..3.782.5..68.7.52...63.57...27.38....5.86..... 30c
  ........1.......2......3..4..325.6...57.8.2..6..3.78...825.....37.6.8...5.6.7.... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4888647
  ........1.......2......3..4..2.356...3.72.8...576.82...26.7....3.5.86...78.5..... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4699131

........1.......2......3..4.25.367..3.87.52..67.82.5...63.57...2.738....58.6..... 30c
  ........1.......2......3..4..5..67...38.7.2...6.28.5...2783....6.35.7...85..6.... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4888707
  ........1.......2......3..4..5.367...387..2...6.82.5...27.8....6.3.57...85.6..... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4888709
  ........1.......2......3..4..2..56...5.27.8..73..682...87.5....3.58.6...62.73.... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4699224
  ........1.......2......3..4..2.356...5.72.8..73.6.82...875.....3.5.86...62..7.... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4699226

........1.......2......3..4.25.367..37.82.5..6.87.52...63.57...2.738....58.6..... 30c
  ........1.......2......3..4..325.6...57.8.2...6.3.78...825.....5.6.7....73.6.8... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4892993
  ........1.......2......3..4..2.356...3.72.8..75.6.82...875.....3.5.86...62..7.... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4705138

........1.......2......3..4.25.367..38.7.52..6.782.5...63.57...27.38....5.86..... 30c
  ........1.......2......3..4..5.367...6.82.5..83.7..2...586.....6.3.57...72..8.... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4884045
  ........1.......2......3..4..5..67...6.28.5..83..7.2...58.6....6.35.7...72.83.... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4884095
  ........1.......2......3..4..2.356...376.82...5.72.8...26.7....3.5.86...78.5..... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4691021
  ........1.......2......3..4..2..56...37.682...5.27.8...2673....3.58.6...78..5.... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4691049

........1.......23....24.....564.7...847.2...67..85....4625....5.74.8.6.82..67... 30c
  98.76.5..7.5.94.....6..8...8.4............43........2.6.9.5....47.8.9....5.6....7 ED=11.8/ 1.2/ 1.2 26c monh/forum-20220207-1
  98.76.5..7.48......56..9...5..9.7....9..5..8..6748.......6.4.........4.3........2 ED=11.8/ 1.2/ 1.2 26c monh/forum-20220207-2

........1.....2.34.35.......62......7.3.25..885...67...7853....32..68...5.62.7.8. 30c
  ........1.....2.34..2.3156.....5......4...6...78..6.......651..1..2.43..4..3...25 ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4888040
  ........1.....2.34..2.3156.....5......4...6...78..6.......65.4.1..2.43..4..31..25 ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4698373

........1.....234.....56.7...65.87...25.17...87.62.....682....72.7.6....51.87.... 30c
  ........1......23......2.4.....2567...271.8....56.8....61.7....25..86...7.85..... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4888766
  ........1.......23.....24....567.....62.48...87.2.5....46....7.52.....867.8.5.... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4888870
  ........1.......23.....24....567.....62.48...87...5....46.2..7.52.....867.8.5.... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4888871
  ........1.....234.....56.7...65.87...25.17...8..62.....68.....72.7......51.8..... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4888872

..............1.23...45.6.1..7.6.....861..7..54.78.....15.47...4.85.6..776.81...4 31c
  ..............1.23...45.6.1..617...5.415.8....7..46..8.67.1.8...8.6.....4.57..... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3595725
  ..............1.23...45.6.1..617...5.41..8...57..46..8.67.1.8...8.6.....4.57..... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3595772
  ..............1.23...45.6.1..7.46..8.145.....86.17...5..86......76.1.8..45.78.... ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366348

..............1.23...45.6.1..7.6.....861..7..54.78.....15.47...4.85.6..776.81..4. 31c
  ..............1.23...45.6.1..617..5..415.8....7..46..8.67.1.8...8.6.....4.57..... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3595724
  ..............1.23...45.6.1..617..5..41..8...57..46..8.67.1.8...8.6.....4.57..... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3595769
  ..............1.23...45.6.1..7.46..8.145.....86.17..5...86......76.1.8..45.78.... ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366347

..............1.23.14...5.6..5..7....6..857...7841.....8675...154.1.8..77.1.64... 31c
  ..............1.23.14...5.6..5..7.....814.....6.8.57...865....154...8..77.16.4... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3595958
  ..............1.23.14...5.6..5..7.....814.....6.8.57...865....154..18..77..6.4... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596188
  ..............1.23.14...5.6..1.64....7685...154...7..8..5..8....6..758...8741.... ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366463

..............1.23.14...5.6..5..7....6..857...7841.....8675...454.1.8..77.1.64... 31c
  ..............1.23.14...5.6..5..7.....814.....6.8.57...865....454...8..77.16..... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4721391
  ..............1.23.14...5.6..5..7.....814.....6.8.57...865....45....8..77.16.4... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4721406
  ..............1.23.14...5.6..1.6.....7685...454...7..8..5..8....6..758...8741.... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3595957
  ..............1.23.14...5.6..1.64....7685...45....7..8..5..8....6..758...8741.... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3595964

..............1.23.14...5.6..5..7....6..857...7841.....8675..1.54.1.8..77.1.64... 31c
  ..............1.23.14...5.6..5..7.....814.....6.8.57...865...1.54...8..77.16.4... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3595980
  ..............1.23.14...5.6..5..7.....814.....6.8.57...865...1.54..18..77..6.4... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596189
  ..............1.23.14...5.6..1.64....7685..1.54...7..8..5..8....6..758...8741.... ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366416

..............1.23.14...5.6..5..7....6..857...7841.....8675..4.54.1.8..77.1.64... 31c
  ..............1.23.14...5.6..5..7.....814.....6.8.57...865...4.5....8..77.16.4... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4721405
  ..............1.23.14...5.6..5..7.....814.....6.8.57...865...4.54...8..77.16..... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4721407
  ..............1.23.14...5.6..1.6.....7685..4.54...7..8..5..8....6..758...8741.... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3595956
  ..............1.23.14...5.6..1.64....7685..4.5....7..8..5..8....6..758...8741.... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3595963

........1.......2......3..4.25.367.83.782.5..68.7.52...63.57...27.38....5.86..... 31c
  ........1.......2......3..4..325.6....7.8.2...6.3.78.5.56.7....73.6.8...8.25..... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4888714
  ........1.......2......3..4..2.356.7.3.72.8...5.6.82...26.7....3.5.86...78.5..... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4699230

........1.......2......3..4.25.367.83.87.52..67.82.5...63.57...2.738....58.6..... 31c
  ........1.......2......3..4..3.5.2....627.8...8...65.7.5273....63.8.5...7.8.6.... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4888708
  ........1.......2......3..4..3.5.2....627.8...8.3.65.7.527.....63.8.5...7.8.6.... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4888710
  ........1.......2......3..4..2..56.7.3..682...5.27.8...87.5....3.58.6...62.73.... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4699225
  ........1.......2......3..4..2.356.7.3.6.82...5.72.8...875.....3.5.86...62..7.... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4699227

........1.......2......3..4.25.367.837.82.5..6.87.52...63.57...2.738....58.6..... 31c
  ........1.......2......3..4..325.6....7.8.2...6.3.78.5.825.....5.6.7....73.6.8... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4892992
  ........1.......2......3..4..2.356.7.3.72.8...5.6.82...875.....3.5.86...62..7.... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4705136

........1.......2......3..4.25.367.838.7.52..6.782.5...63.57...27.38....5.86..... 31c
  ........1.......2......3..4..3.5.2....627.8...8.3.65.7.78.6....5.27.....63.8.5... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4884048
  ........1.......2......3..4..3.5.2....627.8...8...65.7.78.6....5.273....63.8.5... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4884096
  ........1.......2......3..4..2.356.7.3.6.82...5.72.8...26.7....3.5.86...78.5..... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4691023
  ........1.......2......3..4..2..56.7.3..682...5.27.8...2673....3.58.6...78..5.... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4691051

........1......23......4.56..7.4.....8253....43.7.8....54.87.2.27.4.3..53.825..7. 31c
  ........1......23......4.56..7.......8235....43..78....548...2..7..43..53.852..7. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3595614
  ........1......23......4.56..7..3..5.45.8..2.38.25..7..2853.....7..4....4.37.8... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3595770

........1......23.....14.56..71.6....8645...741..78.....864..7..547.1...76..85... 31c
  ........1......23.....14.56..6.75....458.1....7.6...8..6745...8.8...6...4.1..7... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4721250
  ........1......23.....14.56..7..6....8645...741..78.....86...7..54..1...76..85... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3595763

........1.....234.....56.7...187.....862.5..727..61....52.17....6.5.87..8.762.... 31c
  ........1......23......2.4...215.6....7.8.....6.2.785..815.....27.6.8...5...7.... ED=11.8/ 1.2/ 1.2 25c mith/puzzles25c-4029383
  ........1.......23.....24....5.6.....47....8.62...8.57..67......72.45...58.2.6... ED=11.8/ 1.2/ 1.2 25c mith/puzzles25c-4029386
  ........1.......23.....24....5.6.....47.2..8.62...8.57..67......72.45...58...6... ED=11.8/ 1.2/ 1.2 25c mith/puzzles25c-4029391
  ........1.....234.....56.7...18......86..5..727........52.17....6...87..8..62.... ED=11.8/ 1.2/ 1.2 25c mith/puzzles25c-4029399

..............1.23...45.6.1..7.64....861.57..54.78.....15.47...4.85.6..776.81.... 32c
  ..............1.23...45.6.1..617.....41..8...57..46..8.67.1.8...8.6.5...4.57..... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596034
  ..............1.23...45.6.1..617.....415.8...57...6..8.67.148...8.6.....4.57..... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596106
  ..............1.23...45.6.1..617.....41..8...57...6..8.67.148...8.6.5...4.57..... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596207
  ..............1.23...45.6.1..7.6.....861.57..54.78.....15.4....4.8..6..776.81.... ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366616
  ..............1.23...45.6.1..7.64....861..7..54.78.....15......4.85.6..776.81.... ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366640
  ..............1.23...45.6.1..7.64....861.57..54.78.....15......4.8..6..776.81.... ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366693

..............1.23...45.6.1..7.65....861.47..54.78.....15.47...4.85.6..776.81.... 32c
  ..............1.23...45.6.1..617.....415.8...57...6..8.67.1.8...8.6.4...4.57..... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596080
  ..............1.23...45.6.1..617.....41..8...57..46..8.67.158...8.6.....4.57..... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596139
  ..............1.23...45.6.1..617.....41..8...57...6..8.67.158...8.6.4...4.57..... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596217
  ..............1.23...45.6.1..7.65....861..7..54.78.....15.4....4.8..6..776.81.... ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366615
  ..............1.23...45.6.1..7.6.....861.47..54.78.....15......4.85.6..776.81.... ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366641
  ..............1.23...45.6.1..7.65....861.47..54.78.....15......4.8..6..776.81.... ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366700

..............1.23..4.2.56...7.13....8324...714.7.8....21.74...4.813..7.73.8.2... 32c
  ..............1.23..4.2.56...7..3....8324...714...8.....813..7..21.74....3.8.2... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596032
  ..............1.23..4.2.56...7.13....8324...714...8.....8.3..7..21.74....3.8.2... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596193
  ..............1.23..4.2.56...7..3....8324...714.7.8.....813..7..21..4...73.8.2... ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366526
  ..............1.23..4.2.56...7.13....8324...714.7.8.....8.3..7..21..4...73.8.2... ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366688

..............1.23..4.2.56...7.43....8321...714.7.8....21.74...4.813..7.73.8.2... 32c
  ..............1.23..4.2.56...7.43....832....714...8.....813..7..21.74....3.8.2... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596029
  ..............1.23..4.2.56...7.43....1...8...8.32....7.4813..7.2.1.74...3..8.2... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596190
  ..............1.23..4.2.56...7.43....1...8...8.321...7.48.3..7.2.1.74...3..8.2... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596191
  ..............1.23..4.2.56...7.3..8..21.84....3.7.2.....8.43....7321...814...7... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596192
  ..............1.23..4.2.56...7.43....832....714.7.8.....813..7..21..4...73.8.2... ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366524
  ..............1.23..4.2.56...7.43....1.7.8...8.32....7.4813..7.2.1..4...37.8.2... ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366685
  ..............1.23..4.2.56...7.43....1.7.8...8.321...7.48.3..7.2.1..4...37.8.2... ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366686
  ..............1.23..4.2.56...7.3..8..21..4...83.7.2.....8.43....7321...814.8.7... ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366687

..............1.23.14...5.6.7658....54..17..88.16.4....8714....1.5..8...46.7.58.. 32c
  ..............1.23.14...5.6..5..7.....814....46.8.57...865.....5....8..77.16.4... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4721404
  ..............1.23.14...5.6..7.4.....6.7.58..1.5..8....765.....54..17..88..6.4... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4721462
  ..............1.23.14...5.6..7.4....1.5..8...46.7.58...765.....5...17..88..6.4... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4721515
  ..............1.23.14...5.6..1.64....7685....5....7..8..5..8....8741....46..758.. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3595966
  ..............1.23.14...5.6....64....7685....54.1.7..8.6..758...874.....1.5..8... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3595987
  ..............1.23.14...5.6..714.....6.7.58..1.5..8....765.....54...7..88.16.4... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3595988
  ..............1.23.14...5.6....64....7685....5..1.7..8.874.....1.5..8...46..758.. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596183
  ..............1.23.14...5.6..1.64....7685....54...7..8.6..758...8741....1.5..8... ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366464

..............1.23.14...5.6.7658....54..17..88.16.4....8714....16.7.58..4.5..8... 32c
  ..............1.23.14...5.6..714.....6.7.58..4.5..8....765.....5....7..88.16.4... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4721402
  ..............1.23.14...5.6..1.64....7685....5....7..8.6..758...8741....4.5..8... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3595965
  ..............1.23.14...5.6..5..7.....814....16.8.57...865.....54...8..77.16.4... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3595994
  ..............1.23.14...5.6..5..7.....814....16.8.57...865.....54..18..77..6.4... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596179
  ..............1.23.14...5.6..714....16.7.58..4.5..8....765.....5...17..88..6.4... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596180
  ..............1.23.14...5.6..1.64....7685....54...7..8..5..8....8741....16..758.. ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366465
  ..............1.23.14...5.6....64....7685....54.1.7..8..5..8....8741....16..758.. ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366683
  ..............1.23.14...5.6....64....7685....5..1.7..8.8741....16..758..4.5..8... ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366684

........1.......2......3..4.2356.7..5.82.76..67..382.5.578....22.635....83..72... 32c
  ........1.......2......3..4..356.7....8.2.5...7.3.8..6.67.8...22.56.....83.7..... ED=11.8/ 1.2/ 1.2 25c mith/puzzles25c-4029547
  ........1.......2......3..4..356.7....8.2.5...7.3.82.6.67.8....2.56.....83.7.2... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4890473
  ........1.......2......3..4..356.7....8.275...5.3.8..6.256.....38.7.....6.7.8...2 ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4890474
  ........1.......2......3..4..5.2.6...2367.8...8.3.5..7.78.5....2.67.....53.8.2... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4890475
  ........1.......2......3..4..5.2.6...2367.8...8.3.5..7..67......78.5...253.8.2... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4890476
  ........1.......2......3..4..356.7....8.275...5.3.82.6.256.....38.7.2...6.7.8.... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4701113
  ........1.......2......3..4..5.267...2378.6..7..3.5..8.86.5....2.78.....53.6.2... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4701115
  ........1.......2......3..4..5.267...2378.6..7..3.5..8..78......86.5...253.6.2... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4701116

........1.......2......3..4.2356.7..5.82.76..76..382.5.578....22.635....38..72... 32c
  ........1.......2......3..4..356.7....8.2.5...7.3.8..6.256.....6.7.8...283.7..... ED=11.8/ 1.2/ 1.2 25c mith/puzzles25c-4030946
  ........1.......2......3..4..356.7....8.2.5...7.3.82.6.256.....6.7.8....83.7.2... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4892157
  ........1.......2......3..4..356.7....8.275...5.3.8..6.67.8...22.56.....38.7..... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4892158
  ........1.......2......3..4..5.2.6...2367.8..8..3.5..7..67......78.5...235.8.2... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4892159
  ........1.......2......3..4..5.2.6...2367.8..8..3.5..7.78.5....2.67.....35.8.2... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4892160
  ........1.......2......3..4..356.7....8.275...5.3.82.6.67.8....2.56.....38.7.2... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4703994
  ........1.......2......3..4..5.267...2378.6...7.3.5..8..78......86.5...235.6.2... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4703999
  ........1.......2......3..4..5.267...2378.6...7.3.5..8.86.5....2.78.....35.6.2... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4704000

........1.......2......3..4.25.36...37.8.52.66.872.5...63.58.7.28.67....5.73...6. 32c
  ........1.......2......3..4..5....6..72.8....36..57.8..837..2..5...36...7.682.5.. ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4888042
  ........1.......2......3..4..5....6..72.8....36..57.8..837....652..36...7..82.5.. ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4888049
  ........1.......2......3..4..5....6..72.8....36..57.8..837..2.65...36...7..82.5.. ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4888050
  ........1.......2......3..4..3.56.7..5.....8.62.87.....8672.5..2.5.3....73.6....8 ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4888052
  ........1.......2......3..4..3.56.7..5.....8.62.87......5.38....8672.5..73.6..2.. ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4888053
  ........1.......2......3..4..3.56.7..5.....8.62.87......5.3.....8672.5..73.6..2.8 ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4888054
  ........1.......2......3..4..5.3..6..728.....36.5.7.8..83.7...652...6...7..28.5.. ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4888057
  ........1.......2......3..4..3.56.7..5.3...8.62.87.....8672.5..2.5......73.6....8 ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4888062
  ........1.......2......3..4..3.56.7..5.3...8.62.87......5..8....8672.5..73.6..2.. ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4888063
  ........1.......2......3..4..3.56.7..5.3...8.62.87......5.......8672.5..73.6..2.8 ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4888064

........1.......2......3..4.25.367.83.782.5..68.7.52...63.57.8.27.38....5.86..... 32c
  ........1.......2......3..4..325.6...57.8.2..6..3.78....6.7.....825.....37.6.8.5. ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4888316
  ........1.......2......3..4..2.356...3.72.8...576.82...26.7.....8.5.....3.5.86.7. ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4698760

........1.......2......3..4.25.367.83.87.52..67.82.5...63.57.8.2.738....58.6..... 32c
  ........1.......2......3..4..5.367...387..2...6.82.5...27.8.....5.6.....6.3.57.8. ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4888328
  ........1.......2......3..4..5..67...38.7.2...6.28.5...2783.....5..6....6.35.7.8. ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4888706
  ........1.......2......3..4..2.356...5.72.8..73.6.82...8.5.....3.5.86.7.62..7.... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4698808
  ........1.......2......3..4..2..56...5.27.8..73..682...8..5....3.58.6.7.62.73.... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4699223

........1.......2......3..4.25.367.837.82.5..6.87.52...63.57.8.2.738....58.6..... 32c
  ........1.......2......3..4..325.6...57.8.2...6.3.78....6.7.....825.....73.6.8.5. ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4896751
  ........1.......2......3..4..2.356...3.72.8..75.6.82...8.5.....3.5.86.7.62..7.... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4710896

........1.......2......3..4.25.367.838.7.52..6.782.5...63.57.8.27.38....5.86..... 32c
  ........1.......2......3..4..5.367...6.82.5..83.7..2...5.6.....6.3.57.8.72..8.... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4884041
  ........1.......2......3..4..5..67...6.28.5..83..7.2...5..6....6.35.7.8.72.83.... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4884091
  ........1.......2......3..4..2.356...376.82...5.72.8...26.7.....8.5.....3.5.86.7. ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4691018
  ........1.......2......3..4..2..56...37.682...5.27.8...2673.....8..5....3.58.6.7. ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4691045

........1.......2.....13.45...3.56...3716.5..6.5.78....785.1...3.1.86.5.56.73...8 32c
  ........1.......2.....13.45...3.56....5.78....3716.....6.73...8.785.1...3.1.86.5. ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-2621271
  ........1.......2.....13.45...3.56...371.....6.5.78....6.73...8.785.1...3.1.86.5. ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-2621272
  ........1.......2.....13.45...3.56....5.78....3716.5...785.1...3.1.86...56.73...8 ED=11.8/ 1.2/ 1.2 30c mith/puzzles30c-2265477
  ........1.......2.....13.45...3.56...371..5..6.5.78....785.1...3.1.86...56.73...8 ED=11.8/ 1.2/ 1.2 30c mith/puzzles30c-2265478

........1.......2......3..4.2356.7..5.82.76.367..382.5.578....22.635....83..72... 33c
  ........1.......2......3..4..356.7....8.2.5.3.7...8..6.67.8...22.563....83.7..... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4892996
  ........1.......2......3..4..356.7....8.2.5.3.7...82.6.67.8....2.563....83.7.2... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4707440
  ........1.......2......3..4..356.7....8.275.3.5...8..6.2563....38.7.....6.7.8...2 ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4707441
  ........1.......2......3..4..5..6..7.3278.5...6.2..8.3.576.....28.37....6.3.52... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4707442
  ........1.......2......3..4..5..6..7.3278.5...6.2..8.3.576....2.8.37....6.3.52... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4707443
  ........1.......2......3..4..356.7....8.275.3.5...82.6.2563....38.7.2...6.7.8.... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3579690
  ........1.......2......3..4..5..6..7.6..285.323.57.8...5273....3.68.2...78..6.... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3579691
  ........1.......2......3..4..5..6..7.6..285.323.57.8...5.73....3.68.2...78..6...2 ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3579692

........1.......2......3..4.2356.7..5.82.76.376..382.5.578....22.635....38..72... 33c
  ........1.......2......3..4..256.7...7...8..58..2..6.3.38.72...62.35....7.58..... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4892475
  ........1.......2......3..4..256.7...7..38..58..2..6.3.38.72...62..5....7.58..... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4892491
  ........1.......2......3..4..256.7...7...8..58..2..6.3.38.7....62.35....7.58....2 ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4892572
  ........1.......2......3..4..256.7...7...8..58..2..6.3.38.72...6..35....7.58....2 ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4892573
  ........1.......2......3..4..256.7...7..38..58..2..6.3.38.7....62..5....7.58....2 ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4892574
  ........1.......2......3..4..256.7...7..38..58..2..6.3.38.72...6...5....7.58....2 ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4892575
  ........1.......2......3..4..356.7....8.2.5.3.7...8..6.2563....6.7.8...283.7..... ED=11.8/ 1.2/ 1.2 26c mith/puzzles26c-4892577
  ........1.......2......3..4..256.7....5..8..6.8..275.3.76.8....25.63....3.87.2... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4704572
  ........1.......2......3..4..256.7....53.8..6.8..275.3.76.8....25.6.....3.87.2... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4704591
  ........1.......2......3..4..256.7....5..8..6.8..275.3.76.8...225.63....3.87..... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4704629
  ........1.......2......3..4..256.7....5..8..6.8..275.3.5.63.....76.8...23.87.2... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4704631
  ........1.......2......3..4..256.7....53.8..6.8..275.3.76.8...225.6.....3.87..... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4704635
  ........1.......2......3..4..256.7....53.8..6.8..275.3.5.6......76.8...23.87.2... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4704636
  ........1.......2......3..4..356.7....8.275.3.5...8..6.67.8...22.563....38.7..... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4704639
  ........1.......2......3..4..356.7....8.2.5.3.7...82.6.2563....6.7.8....83.7.2... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4704641
  ........1.......2......3..4..356.7....8.275.3.5...82.6.67.8....2.563....38.7.2... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3576838

........1......23......4.56..7.42....8253....43.7.8..2.54.87.2.27.4.3..53.825..7. 33c
  ........1......23......4.56..2.43..5.735...8.54.7.8....8...2...3.4.87..27..35.... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596048
  ........1......23......4.56..2..3..5.73.5..8.54..78....8..42...3.48.7..27..53.... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596211
  ........1......23......4.56..7.42....8.53....43.7.8..2.54.8....27...3..53.8.5..7. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596213
  ........1......23......4.56..7..2....8.35....43..78..2.548.....27..43..53.85...7. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596214
  ........1......23......4.56..2.43..5.735...8.54.7.8.2..8...2...3.4.87...72.35.... ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366604
  ........1......23......4.56..2.43..5.7352..8.54.7.8....8.......3.4.87..272.35.... ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366613
  ........1......23......4.56..2..3..5.73.5..8.54..78.2..8..42...3.48.7...72.53.... ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366694
  ........1......23......4.56..2..3..5.7325..8.54..78....8..4....3.48.7..272.53.... ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366695
  ........1......23......4.56..7.42....8253....43.7.8....54.8..2.27...3..53.8.5..7. ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366696
  ........1......23......4.56..7.4.....8253....43.7.8..2.54.8....27...3..53.825..7. ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366697
  ........1......23......4.56..7..2....8235....43..78....548...2.27..43..53.85...7. ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366698
  ........1......23......4.56..7.......8235....43..78..2.548.....27..43..53.852..7. ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366699

........1.....2.34..2...56..23.78.5.5.82.6...67.53..8..5736.....8..25...2.68.7..5 33c
  ........1.....123...4....56..7.4.....16..8...5..7.6..8.8.5.4...46..17.8.7.56..... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4721519
  ........1.....123...4....56..7.4.....16..8...54.7.6..8.6..17.8..8.5.4...7.56..... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4721520
  ........1......23.....14.56..6.75....458.....17.64..8..67.5...8.8.1.6...4.1..7... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596038
  ........1.....123...4....56..714.....16..8...5..7.6..8.815.4...46...7.8.7.56..... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596053
  ........1......23.....14.56..6.75....458.....17.6...8..6745...8.8.1.6...4.1..7... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596201
  ........1.....123...4....56..714.....16..8...54.7.6..8.6...7.8..815.4...7.56..... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596202
  ........1.....123...4....56....54....7586....64.1.7.8..5..76..8.874.....1.6..8... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596203
  ........1.....123...4....56....54....6.1.7.8.7.586.....16..8...54..76..88.74..... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3596204
  ........1......23.....14.56..71.6....86.5...741..78....54......1.864..7.76..85... ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366689
  ........1......23.....14.56..71.6....8645...741..78....54......1.86...7.76..85... ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366690
  ........1.....123...4....56..1.54....7586....64...7.8..5..76..8.8741....1.6..8... ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366691
  ........1.....123...4....56..1.54....6...7.8.7.586.....16..8...54..76..88.741.... ED=11.8/ 1.2/ 1.2 29c mith/puzzles29c-3366692

........1.......2......34.5.26.37..434.8.62.78.742.6...73.68.4.28.74....6.43...7. 34c
  ........1.......2......34.5..6....7..82.4....37..68.4...842.6...438....762..37... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702802
  ........1.......2......34.5..6....7..82.4....37..68.....842.6...438....762..37..4 ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702905
  ........1.......2......34.5..6....7..82.4....37..68.....842.6...438..2.76...37..4 ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702906
  ........1.......2......34.5..2.36..4.347.8..6.7.42.8...27.4.....8.....6.3.6.87... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702907
  ........1.......2......34.5..6....7..82.4....37..68....438..2..6...37..47.842.6.. ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702908
  ........1.......2......34.5..6....7..82.4....37..68.4...842.6...438..2.76...37... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702909
  ........1.......2......34.5..2.36....347.8..6.7.42.8...27.4.....8.....6.3.6.87.4. ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702911
  ........1.......2......34.5..6....7..82.4....37..68.4..438..2..6...37...7.842.6.. ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702912
  ........1.......2......34.5..6.3..7..824.....37.6.8.....824.6...43.8...762...7..4 ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702916
  ........1.......2......34.5..6..7..4.8.24.6..43..8.2.7.6..3..7.7.36.8...82.4..... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702919
  ........1.......2......34.5..2..6..4.34.78..6.7.24.8...274......8..3..6.3.68.7... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702921
  ........1.......2......34.5..6..7..4.8724.6..43..8.2...6..3..7.7.36.8...82.4..... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702922
  ........1.......2......34.5..6.3..7..824.....37.6.8.4...824.6...43.8...762...7... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702923
  ........1.......2......34.5..6..7....8.24.6..43..8.2.7.6..3..7.7.36.8.4.82.4..... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702925
  ........1.......2......34.5..2..6....34.78..6.7.24.8...274......8..3..6.3.68.7.4. ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702926
  ........1.......2......34.5..6..7....8724.6..43..8.2...6..3..7.7.36.8.4.82.4..... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702928
  ........1.......2......34.5..3.6...7..624.8..28.3.7..4.48....7.6.24.....73.8.6... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702932
  ........1.......2......34.5..3.6.2.7..624.8...8.3.7..4.48....7.6.24.....73.8.6... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702933
  ........1.......2......34.5..2.36..4.3.7.8..6.7.42.8...27.4....3.6.87...48.....6. ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702934
  ........1.......2......34.5..3.6.2...7.3.8..4.8624.7...47....8.6.24.....83.7.6... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702935
  ........1.......2......34.5..3.6...7..624.8..28.3.7....48....7.6.24.....73.8.6.4. ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702936
  ........1.......2......34.5..3.6.2.7..624.8...8.3.7....48....7.6.24.....73.8.6.4. ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702937
  ........1.......2......34.5..2.36....3.7.8..6.7.42.8...27.4....3.6.87.4.48.....6. ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702938
  ........1.......2......34.5..3.6.2...7.3.8....8624.7...47....8.6.24.....83.7.6.4. ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702939
  ........1.......2......34.5..3.6...7..624.8..28...7..4.48.3..7.6.24.....73.8.6... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702941
  ........1.......2......34.5..3.6.2.7..624.8...8...7..4.48.3..7.6.24.....73.8.6... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702942
  ........1.......2......34.5..2..6..4.3..78..6.7.24.8...274.....3.68.7...48..3..6. ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702944
  ........1.......2......34.5..3.6.2...7...8..4.8624.7...47.3..8.6.24.....83.7.6... ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702945
  ........1.......2......34.5..3.6...7..624.8..28...7....48.3..7.6.24.....73.8.6.4. ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702947
  ........1.......2......34.5..3.6.2.7..624.8...8...7....48.3..7.6.24.....73.8.6.4. ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702948
  ........1.......2......34.5..2..6....3..78..6.7.24.8...274.....3.68.7.4.48..3..6. ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702950
  ........1.......2......34.5..3.6.2...7...8....8624.7...47.3..8.6.24.....83.7.6.4. ED=11.8/ 1.2/ 1.2 27c mith/puzzles27c-4702951
  ........1.......2......34.5..2.36..4.347.82..67.42.8...27.4.....8.....6.3.6.87... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575800
  ........1.......2......34.5..2.36....347.82..67.42.8...27.4.....8.....6.3.6.87.4. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575801
  ........1.......2......34.5..6....7..8247....37.6.8....43.8...762.3....47.824.6.. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575802
  ........1.......2......34.5..6....7..8247....37.6.8....43.8.2.76..3....47.824.6.. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575803
  ........1.......2......34.5..2.3...4.346.7..886.42.7...2684.....7.....8.3.8.76... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575804
  ........1.......2......34.5..6....7..8247....37.6.8.4..43.8...762.3.....7.824.6.. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575805
  ........1.......2......34.5..6....7..8247....37.6.8.4..43.8.2.76..3.....7.824.6.. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575806
  ........1.......2......34.5..2.3.....346.7..886.42.7...2684.....7.....8.3.8.76.4. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575807
  ........1.......2......34.5..2..6..4.34.782..67.24.8...274......8..3..6.3.68.7... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575808
  ........1.......2......34.5..2..6....34.782..67.24.8...274......8..3..6.3.68.7.4. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575809
  ........1.......2......34.5..6.3..7..8247....37.6.8....43.8...762......47.824.6.. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575810
  ........1.......2......34.5..6.....4.7824.6..43..7.2.8.6..3..8.72.48....8.36.7... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575811
  ........1.......2......34.5..2.....4.34.67..886.24.7...2648.....7..3..8.3.87.6... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575812
  ........1.......2......34.5..6.3..7..8247....37.6.8.4..43.8...762.......7.824.6.. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575813
  ........1.......2......34.5..6.......7824.6..43..7.2.8.6..3..8.72.48....8.36.7.4. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575814
  ........1.......2......34.5..2.......34.67..886.24.7...2648.....7..3..8.3.87.6.4. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575815
  ........1.......2......34.5..2.36..4.3.7.82..67.42.8...27.4....3.6.87...48.....6. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575816
  ........1.......2......34.5..2.36....3.7.82..67.42.8...27.4....3.6.87.4.48.....6. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575817
  ........1.......2......34.5..3.6...7.7624.8..28.3....4.48....7.6.247....73.8.6... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575818
  ........1.......2......34.5..3.6.2.7.7624.8...8.3....4.48....7.6.247....73.8.6... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575819
  ........1.......2......34.5..2.3...4.3.6.7..886.42.7...2684....3.8.76...47.....8. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575820
  ........1.......2......34.5..3.6...7.7624.8..28.3......48....7.6.247....73.8.6.4. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575821
  ........1.......2......34.5..3.6.2.7.7624.8...8.3......48....7.6.247....73.8.6.4. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575822
  ........1.......2......34.5..2.3.....3.6.7..886.42.7...2684....3.8.76.4.47.....8. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575823
  ........1.......2......34.5..2..6..4.3..782..67.24.8...274.....3.68.7...48..3..6. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575824
  ........1.......2......34.5..2..6....3..782..67.24.8...274.....3.68.7.4.48..3..6. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575825
  ........1.......2......34.5..3.6...7.7624.8..28......4.48.3..7.6.247....73.8.6... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575826
  ........1.......2......34.5..3.6.2.7.7624.8...8......4.48.3..7.6.247....73.8.6... ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575827
  ........1.......2......34.5..2.....4.3..67..886.24.7...2648....3.87.6...47..3..8. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575828
  ........1.......2......34.5..3.6...7.7624.8..28........48.3..7.6.247....73.8.6.4. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575829
  ........1.......2......34.5..3.6.2.7.7624.8...8........48.3..7.6.247....73.8.6.4. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575830
  ........1.......2......34.5..2.......3..67..886.24.7...2648....3.87.6.4.47..3..8. ED=11.8/ 1.2/ 1.2 28c mith/puzzles28c-3575831
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Re: The hardest sudokus (new thread)

Postby mith » Wed Mar 02, 2022 10:02 pm

Ran the same check on 11.7; 2236 minimals from 520 expansions. (No overlap with the 11.8+ list - Loki and friends remain the only confirmed morph-dependent ratings this high. We can't rule out the existence of others, of course.)
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Re: The hardest sudokus (new thread)

Postby mith » Wed Mar 02, 2022 10:27 pm

For 11.6, there are 4175 minimals from 944 new expansions + 298 minimals from expansions that have higher rated minimals.

Altogether, that's 7057 11.6+ minimals from 1590 unique singles-expansions. The ph2010 edition of the database had 601 11.6+ minimals (I don't have a clear separation between the two datasets at the moment, so I can't say exactly how many unique expansions).

I'm now considering a big overhaul of my scripts to take this into account and search more efficiently.
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Re: The hardest sudokus (new thread)

Postby denis_berthier » Thu Mar 03, 2022 5:55 am

.
Hi Mith,
First of all, thanks for all your work on this topic and congrats for your great findings.
Your last, grouped presentation of the 11.8+ is much more usable.
I think there are still a few possible improvements:

1) Unless I miss something, there's currently no way to know (besides re-doing all the computations) that the following two puzzles have the same minlex expanded form:
........1.....2.......3..45..6.......71.8....23..67..8.827..1..6...23...7.381.6.. ED=11.9/1.2/1.2
98.76.5..7.4.5......6......5.8..7.4..79.45.6..6.98.......8.........9.3.2......4.. ED=11.8/1.2/1.2

2) the first puzzle of each group (the minlex expanded form, common to the whole group) should have its own name, SER rating, nb-clues, in the same format as the other puzzles
(this is important for me, as I'm only marginally interested in the variants: all my ratings/classifications will be the same for all the puzzles in a group.
I don't mean the variants should be discarded; on the contrary, it's interesting to see them and how they can have different SERs; I just mean I have no use of them in my own analyses.)

3) as for the creators, there are names I can associate to known people (some mith, you know him?) but month??? Is that a typo for mith?

4) as for the puzzle names, I think they should be as short and informative as possible; the "puzzle" part doesn't seem very useful; nobody is excepting to find a birthday cake in the collection. Similarly, the number of clues doesn't have to be embedded inside the name, as it is already an independent field;

5) currently, creator and puzzle name are a single field, e.g. eleven/Patience; I think they should be separated: eleven Patience; especially in view of the next point

6) turning the whole collection into an excel sheet or svn... would make it much easier to use;

7) we'll probably need additional fields in order to easily select what's new from one version to the next (that is currently the worst point in champagne's collection).

8) and also a field allowing to select only the minlex expanded forms.

[Edit]: 9) plus a field for the number of candidates after Singles
.
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Re: The hardest sudokus (new thread)

Postby hendrik_monard » Thu Mar 03, 2022 7:58 am

denis_berthier wrote:
3) as for the creators, there are names I can associate to known people (some mith, you know him?) but month??? Is that a typo for mith?


Hi Denis,

In one of my previous posts I suggested to mith that he could use 'monh' instead of my full name for the database.
BTW I share your opinion that mith has made a real breakthrough with his recent findings.
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Re: The hardest sudokus (new thread)

Postby denis_berthier » Thu Mar 03, 2022 8:31 am

hendrik_monard wrote:In one of my previous posts I suggested to mith that he could use 'monh' instead of my full name for the database.

OK, I see.
I don't know why I read month instead of monh !!! In-brain automatic typo correction ;)

hendrik_monard wrote:BTW I share your opinion that mith has made a real breakthrough with his recent findings.

With all your 11.8s, you're also part to the breakthrough.


BTW, do you think my idea of searching directly for puzzles not in T&E(2), now that we now they exist, is computationally tractable?
.
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Re: The hardest sudokus (new thread)

Postby hendrik_monard » Thu Mar 03, 2022 11:22 am

Hi Denis,
I'm afraid that my contribution (if any) to this breakthrough was rather marginal.
I must also admit that my limited theoretical knowledge about the sudoku object doesn't allow me to give a meaningful and well funded answer to your question regarding computational tractability of puzzles not in T&E(2).
When mith published his 11.9, I tested it in my logical solver described earlier in this thread. From the report generated by this solver, it appeared that this was one of the few puzzles that needed the last 'stage' (IV) of my solver. In the hidden text hereafter, you can see the report generated by the solver. It contains a.o. the list of candidates removed at each stage. Of course the number and the sequence of the removals at the last stage depend on the isomorph. At the previous stages, only the sequence of removals depends on the isomorph.
Hidden Text: Show
1/03/2022 Results for sudoku 'not_TE2_1'
-------------------
A|9 8 .|7 6 .|5 . .|
B|7 . 4|. 5 .|. . .|
C|. . 6|. . .|. . .|
-------------------
D|5 . 8|. . 7|. 4 .|
E|. 7 9|. 4 5|. 6 .|
F|. 6 .|9 8 .|. . .|
-------------------
G|. . .|8 . .|. . .|
H|. . .|. 9 .|3 . 2|
I|. . .|. . .|4 . .|
-------------------
98.76.5..7.4.5......6......5.8..7.4..79.45.6..6.98.......8.........9.3.2......4.. not_TE2_1
O. Initial number of clues: 26
I. Basic solver
- number of eliminated candidates: 23
- new number of clues: 29
- number of remaining cells with 2 candidates: 0
II. Single cell examination for candidate elimination
- number of rounds: 2
- number of eliminated candidates: 5
A9(3) I2(2) I2(3) C4(1) C4(3)
- new number of clues: 29
III. double cell examination for candidate elimination
- number of rounds: 3
- number of eliminated candidates: 9
I1(1)H4 I1(2)H2 I3(3)F6 G6(1)F3 G6(2)I2 C7(2)B2 B7(2)C1 C9(3)B2 G5(3)I2
- new number of clues: 29
IV. triple cell examination for candidate elimination
- number of rounds: 1
- number of eliminated candidates: 4
A3(1) A3(2) A8(1) A9(4)
-------------------------------------
**** PUZZLE SOLVED ****
Time needed by solver was 25585 ms.
- TF(9) = 59
- TF(11) = 174
- solution grid
------------
983|764|521|
724|158|693|
156|239|874|
------------
538|617|249|
279|345|168|
461|982|735|
------------
645|823|917|
817|496|352|
392|571|486|
------------
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Re: The hardest sudokus (new thread)

Postby champagne » Thu Mar 03, 2022 2:00 pm

Hi Mith,

some comments about the data base (existing and future).

In my data base, I faced many of the problems described in former posts.

To enter the data base, a sudoku must be minimal and ED different of any other puzzle.
So, I keep for each ED new sudoku the original form and the canonical form.
Each puzzle receives an internal sequence number, a kind of unique name . In fact, new puzzles have higher internal sequence numbers than the old ones.
The rating is the rating of the morph supplied by the creator

The problem of ED minimal having equivalent status later in not knew. AFAIR, the first one entered in the database is tarx004/tarx005, equivalent after one single.
In fact, the equivalence can appear at any moment before the "harder step" giving the rating.

The next point is "what is the purpose of the data base", and this can change the criteria to enter the data base.
I have separate data bases for the seeds because I used a cutoff at ER 10.0 and this gave to many puzzles for an Access data base.
If the data base is there to explore the TExx (whatever in in this concept), a cutoff over 11.0 is likely enough.

My data base was supposed to contain the "hardest puzzle" (unknown definition);
IMO, the hardest is an animal that must be solved in a boring sequence step by step, with no known quick logic. So, I could not exclude lower ratings
Just keep in mind that "AI escargot " claimed by Arto Inpala as being the "hardest sudoku" has a relatively low rating but is clearly not easy to solve.

My data base was also supposed to help in finding new exotic patterns. Here, the process is reverse, a new exotic pattern has been found, extraordinarily hard to beat with the Sudoku Explainer tool and it is used to produce new puzzles, usually heavily downgraded applying the Thor' hammer. As such puzzles have nearly no chance to be "the hardest puzzle" (in the definition given above), a cutoff over 11.0 should be enough (in terms of complexity, the length in the area ER 11_12 is more or less exponential if you consider the number of candidates involved in the chains).
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Re: The hardest sudokus (new thread)

Postby denis_berthier » Thu Mar 03, 2022 3:24 pm

Hi Hendrik,
hendrik_monard wrote:When mith published his 11.9, I tested it in my logical solver described earlier in this thread. From the report generated by this solver, it appeared that this was one of the few puzzles that needed the last 'stage' (IV) of my solver.

As far as I can remember, we had concluded that your solver is equivalent to:
- T&E(S4, 0) = S at stage 1
- T&E(S4, 1) at stage 2
- T&E(S4, 2) at stage 3
- T&E(S4, 3) at stage 4

What you're saying now is, this 11.9 puzzle requires stage 4 and is therefore not in T&E(S4, 2), but it is in T&E(S4, 3).
I had mentioned it was neither in T&E(Singles, 2) nor in T&E(Subsets[2], 2).
Because I found it was in T&E(W2, 2), I hadn't thought of trying with Subsets larger than 2 before. But I just checked that it is indeed not in T&E(S4, 2). This is stronger than my previous results involving Subsets.
[Edit] Indeed, the PM after T&E(S4, 2) is the same as after T&E(Singles, 2). Subsets are of no help at all in advancing to the solution.[/edit]

What you could check on your side is: if you de-activate all the Subsets and intersections, is it solvable at stage 4 (the equivalent of my T&E(Singles, 3)). Normally, if the above equivalences are correct, it should, because T&E(W2, 2) is included in T&E(Singles, 3). I have also checked directly that it is in T&E(Singles, 3).

Anyway, whichever way we approach this puzzle, the complexity gap with any previous one is huge.

Finally, this part is surprising: "this was one of the few puzzles that needed the last 'stage' (IV) of my solver". For me, it is the first puzzle that requires more than T&E(2).
.
Last edited by denis_berthier on Thu Mar 03, 2022 4:47 pm, edited 1 time in total.
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Re: The hardest sudokus (new thread)

Postby mith » Thu Mar 03, 2022 4:17 pm

At the moment, most of my choices in the database are to facilitate generating new puzzles efficiently. The list presented above is formatted for readability moreso than as a proposed long-term format for the project; the actual database is in SQLite, and it's simple enough to adjust the output.

Regarding the points raised by Denis:

1. My database has two separate fields, 'db_puzzle' and 'minlex_puzzle'. The former is the morph of the puzzle that was in ph_2010 or posted on the forums; the later is what I use as a canonical form (not true minlex, but consistent, using gsf's minlex form). I don't currently have a tool set up for generating the maxlex canonical form, but may add that in the future. (For puzzles I have generated, 'db_puzzle' is usually empty, so when posted here they are in 'minlex_puzzle' form. Occasionally I will morph a puzzle into a nicer form, as with Loki, at which point I will add this form to the database in 'db_puzzle'.)

2. I think long-term I will generate the expanded form for all the puzzles (or at least all the puzzles with sufficiently high rating) and store this form in a separate database (along with adding the expanded form or an index to it in a new column in the minlex database). This is going to take a while, however - currently there are over 32 million puzzles in my local database (not all would be included in an update, as most are only rated by skfr_ER).

3. Already resolved.

4. I agree on the puzzle part - puzzlesXXc is just the name of the database/table (there is a separate database per count, and the rowid used as a unique identifier is therefore specific to the database for that count). I do think the count is worth keeping, even if it is available in a separate field - not that just a ton of people are going to be using this thing, but it's easy to imagine someone referring to a puzzle only by the 'name' field and not specifying a count.

5. Separate fields in the database, I just combined them for display purposes here. (Likewise for the ratings; I have separate fields for ER, EP, ED, as well as skfr_ER etc.)

6. A csv is easily imported into excel; the problem with publishing as an excel sheet is the size. It would be fine for only 11.6+ puzzles, say, but even an 11.0+ cutoff (counting skfr_ER for puzzles not yet rated by SER) is closing in on 4 million entries at this point.

7. I have a field that is used for this purpose - basically a time stamp for when a large update is posted. For a full updated, I will likely populate this field as ph2010 for all puzzles in that database, and as ph22XX for puzzles in the new update (it would be possible to go back to older ph updates and give a more complete history, as well). Additionally, I intend to carry over the internal sequence number champagne used.

8. As mentioned in 2, likely I will just create a separate database for this. Fields would included 'minlex_expanded', ER/EP/ED, # of clues, # of minimals, max/min # clues in minimals... other fields which might be useful on my end but less so for a published update would be max/min ER for minimals, whether all minimals are in the minimal databases, things like that. Would need to figure out how best to credit 'creator' and how to name them, as well - could do this based on the oldest minimal in the database, perhaps, though that won't always be clear for puzzles after ph2010.

9. This would be reasonable to calculate alongside generating the expanded forms.
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Re: The hardest sudokus (new thread)

Postby yzfwsf » Thu Mar 03, 2022 6:31 pm

Are the following backdoor of size 2 combinations considered T&E (Single, 2)?
Code: Select all
 57....9..........8.1.........168..4......28.9..2.9416.....2.....6.9.82.4...41.6.. Loki
r1c9=1,r6c4=5
r1c9=1,r8c5=7
r1c9=1,r9c1=7
r2c7=5,r8c1=3
r2c8=7,r4c2=5
r2c8=7,r4c6=7
r2c8=7,r6c2=3
r2c8=7,r6c4=5
r2c8=7,r8c1=3
r2c8=7,r8c5=7
r2c8=7,r9c1=7
r2c8=7,r9c6=5
r3c4=7,r7c9=5
r3c4=7,r8c1=3
r3c4=7,r9c1=7
r3c5=5,r4c2=5
r3c5=5,r4c6=7
r3c5=5,r6c4=5
r3c5=5,r7c4=3
r3c5=5,r7c9=5
r3c5=5,r8c1=3
r3c5=5,r9c6=5
r4c2=5,r7c9=5
r4c2=5,r8c1=3
r4c6=7,r8c1=3
r4c7=3,r7c9=5
r5c3=7,r8c1=3
r5c5=3,r7c9=5
r5c8=5,r8c1=3
r6c2=3,r7c9=5
r6c4=5,r7c1=1
r6c4=5,r7c9=5
r6c4=5,r8c1=3
r6c4=5,r8c8=1
r6c9=7,r7c9=5
r6c9=7,r8c1=3
r7c1=1,r8c5=7
r7c1=1,r9c1=7
r7c4=3,r7c9=5
r7c7=7,r7c9=5
r7c7=7,r8c1=3
r7c9=5,r8c1=3
r7c9=5,r8c5=7
r7c9=5,r9c1=7
r7c9=5,r9c9=3
r8c1=3,r8c3=5
r8c1=3,r8c5=7
r8c1=3,r9c1=7
r8c1=3,r9c6=5
r8c5=7,r8c8=1
r8c8=1,r9c1=7
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Re: The hardest sudokus (new thread)

Postby mith » Thu Mar 03, 2022 6:32 pm

Some more new minimals, with an improvement for highest 32c:

Code: Select all
.............12.34..13..56...7..4....84.3...721..78.....84...7..3...1...74..832..  ED=11.8/1.2/1.2
.............12.34..13..56...7..4....84.3...721..78.....84...7..3...1...74..83.2.  ED=11.8/1.2/1.2
.............12.34..13..56...7..4....84.3...721...8.....84...7..3.7.1....4..832..  ED=11.8/1.2/1.2
.............12.34..13..56...7..4....84.3...721...8.....84...7..3.7.1....4..83.2.  ED=11.8/1.2/1.2
........1....23......145.....6....17.18...92.97.2..6.8.69......1.7.6..8982....76.  ED=11.7/1.2/1.2

32c
Code: Select all
........1......234.....2.56.15.27...2.859.1..97.1.85...2987....7.1..9...85.2.1...  ED=11.6/1.2/1.2

Hidden Text: Show
Code: Select all
........1......23.......456..7.18....6829....19.6.7....8917...26.18.2...72..69..8  ED=11.6/10.7/2.6
.......12......345.....3..6..7.86....3619....89.3.7....6987.1..3.86.1...71...96..  ED=11.6/1.2/1.2
........1......234.....2.56..7..8....59.21...82.79..1..78.195..51.2.7...9.285....  ED=11.6/1.2/1.2
...............123.....1.45..6..7....48.19...71.68..9..67.984..49.1.6...8.174.9..  ED=11.6/1.2/1.2
.......12......345....13.....67.8....79.31...83.69..7..1736....3.81.97..69..8....  ED=11.6/1.2/1.2
.......12.......34....156....67.8....79.51...85.69..7..1756....5.81.97..69..8....  ED=11.6/1.2/1.2
.......12.......34....156.7..67.8....79.51...85.69.....1756....5.81.97..69..8....  ED=11.6/1.2/1.2
.......12......345.....36....7.36....3891....96.7.81...1687....38..69.7.7.9......  ED=11.6/1.2/1.2
.......12......345.....36....7.36....3891.7..96...81...1687....38..69.7.7.9......  ED=11.6/1.2/1.2
.......12......345.....36.7..7.36....3891....96...81...1687....38..69.7.7.9......  ED=11.6/1.2/1.2
.......12......345.....36.7..7.36....3891.7..96...81...1687....38..69...7.9......  ED=11.6/1.2/1.2
.......12......3.4......567..1.28....296.3...86.91.....3216....19.8.....6.8.39.2.  ED=11.6/1.2/1.2
.......12......3.4......567..1.28....296.3...86.91.....3216....19.8.2...6.8.39...  ED=11.6/10.5/10.5
........1......23.......456..1.78....796.2...86.91.7...2716....19.8.....6.8.29..7  ED=11.6/1.2/1.2
.......12......345.....36.7..8.6.....3719....69.3.8.7..7968....3.67.1...81...9...  ED=11.6/1.2/1.2
.......12......345.....36....7.6.....3819....69.3.7.8..8967....3.68.1...71...98..  ED=11.6/1.2/1.2
.......12......3.4......567..1..8....39.62...86.19.2...18.29...32.6.1...9.683....  ED=11.6/1.2/1.2
........1......23.......456..1..7....28.69...76.18.9...17.98...29.6.1...8.672...9  ED=11.6/1.2/1.2
........1......234.....456...718.....41.59...85...7..9.1874.9..5.4.98...79...1...  ED=11.6/1.2/1.2
.......12.....34....3....56..4.78....793.5...83.94..7...8.597...5743....49.8.....  ED=11.6/1.2/1.2
.......12......345.....3..6..7.8.....3619....89.3.7.6..6987.1..3.86.1...71...9...  ED=11.6/1.2/1.2
.......12......345.....46.7..819..6..41.62...96...8.2..198.....6.4.29...82...1...  ED=11.6/1.2/1.2
........1......234.....456...718...5.41.59...85...7..9.1874....5.4.98...79...1...  ED=11.6/1.2/1.2
.......12.......34....156....7.6.....5819....69.5.7.8..8967....5.68.1...71...98..  ED=11.6/1.2/1.2
........1....23.....1.45.....6....7..18...49.79..8.1.6.894..76.1.7...8.464.8....9  ED=11.6/1.2/1.2
........1....23......145.....6....7..18...29.79..8.1.6.892..76.1.7...8.262.8....9  ED=11.6/1.2/1.2
.......12......345....136....317.....673.8.9.8...6.....81..79..63.9.1...7.968....  ED=11.6/1.2/1.2
.......12.....3.45..3...6.7.34.78...68.9...7.7.9..6....9.68.4..36..47...4.8..9...  ED=11.6/1.2/1.2
.......12.....34....3....56..4.78....793.5...8..94..7...8.597...5743....49.8..5..  ED=11.6/1.2/1.2
.......12......345.....46.7..819..6..41.62...96...8....198..2..6.4.29...82...1...  ED=11.6/1.2/1.2
........1......23.......456..1.78....796.2...86.91.....2716....19.8....26.8.29..7  ED=11.6/1.2/1.2
........1......234.....456...718...5.41.59...85...7..9.187..9..5.4.98...79...1...  ED=11.6/1.2/1.2
........1...234.....2.15.....6...78..79....1282..7.6.9..87..19..17...2.669......8  ED=11.6/1.2/1.2
.......12.....34....3....56..7.34.....895....49.7.85...79......5.487....83..49.7.  ED=11.6/1.2/1.2
.......12......345....136....7..8....639.1....8.67.9...71.6....39..8....8.63.7.9.  ED=11.6/1.2/1.2
.......12.....3.45..3...6.7....78....6893..7.97.4.6.....968.4...36..7...84...9...  ED=11.6/1.2/1.2
.......12.....34....3....56..7.34.....895.7..49...85...79......5.487....83..49.7.  ED=11.6/1.2/1.2
.......12.....1..3..1...4....546..7..741.8...86..5.....187.56..45.6.....7...8....  ED=11.6/1.2/1.2
.......12.....1..3..1...4....4.15.....674..8.57.6.8....15.867..46..7....8..5.....  ED=11.6/1.2/1.2
.......12.....1..3..1...4....546..7..7.1.8...86..5..4..187.56..45.6.....7...8....  ED=11.6/1.2/1.2
........1......23......2.4...5.6.....718.....62.5.7..8.86.7....15.2.6...7.218.5..  ED=11.6/1.2/1.2
........1......23......2.4...1.25....2671.8..75.6.8....8.5.....2.5.86..761..7....  ED=11.6/1.2/1.2
........1......23......2.4...5.26....678..1..82.71.5...18.7.....5.6.....6.2.58..7  ED=11.6/1.2/1.2
........1.......23.....24....5.6.....7284....86.2.57....875.....47..8.6.52.6.4...  ED=11.6/1.2/1.2
........1.......23.....24....5.6.....7284....86.2.57...47..8.6.52...4...6.875....  ED=11.6/1.2/1.2
........1.......23.....24....5.6.....7284....86.2.57....875..4..47..8.6.52.6.....  ED=11.6/1.2/1.2
mith
 
Posts: 888
Joined: 14 July 2020

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