As your computation times are very low, could you compute all the T&E(3)-expands of coloin's T&E(3) collection and all the associated minimals? As I said before, considering the differences with mith's list, I think his list is far from being saturated.
BTW, which software do you use for these calculations?
[/quote]
For the last question: my own software.
[quote="coloin"]
I think when I "cleaned" up miths big file, removing the non-minimals but I found only a few more by expanding and minimizing.
max expanding is tricky enough and sometimes its "branches out" and these are easily missed [by me]
Perhaps you can check whether I completely max expanded my file ..... pretty sure I twinned many of them .....
[/quote]
First thing to mention: Colin's list contains 51 puzzles that are only T&E(2):
Hidden Text: Show
- Code: Select all
1...5.7.9...1.9.3.6..37.51..615..3.7......69........513.6....75.48......7.29.....
1...5.7.9...1.9.366..37.51..615..3.7......69........513.6....75.48......7.29.....
...4.6...4.718..3.....73....4.3.1.78.....761..7.86...3.14.38....85....6.9.2......
...4.6...4.718..3.....73....4.3.1.78....4761..7.86...3.14.38....85....6.9.2......
...4.6...4.718..3.....73....4.8.1.73.....761..7.36...8.14.38....85....6.9.2......
...4.6...4.718..3.....73....4.8.1.73....4761..7.36...8.14.38....85....6.9.2......
...4.6...4.718..36....73....4.8.1.73....67.1....34.6.8.14.38....85....6.9.2......
...4.6...4.718..36....73....4.3.1.78....67.1....84.6.3.14.38....85....6.9.2......
...4.6...4.718..36....73....4.3.7.18....61.7....84.6.3.14.38....85....6.9.2......
....5.7.9...1.9.366..37.51..6159.3.7......69........513.6....75.48......7.29.....
...4.6...4.718..36....73....4.3.1.78....4761....86...3.14.38....85....6.9.2......
...4.6...4.718..36....73....4.8.1.73....4761....36...8.14.38....85....6.9.2......
...4.6...4.718..3.....73......8.1.73....4761..7.36.4.8.1..38....85....6.9.2......
1...567.9...1.9.36...37.51..615..3.7......69........513......75.48......7.29.....
...4.6...4.718..3.....73......3.1.78....4761..7.86.4.3.1..38....85....6.9.2......
...4.6...4.718..3.....73......8.1.73....6741..7.34.6.8.1..38....85....6.9.2......
...4.678.4..18.2.66...27.41.3.....7..95....1.8.4..1.......72......6.4.....281..6.
...4.6...4.718..3.....73......3.7.18....6147..7.84.6.3.1..38....85....6.9.2......
...4.6...4.718..3.....73......3.1.78....6741..7.84.6.3.1..38....85....6.9.2......
...4.6...4.718..36....73......8.1.73....4761....36.4.8.1..38....85....6.9.2......
...4.6...4.718..36....73......8.1.73....6741....34.6.8.1..38....85....6.9.2......
...4.6...4.718..36....73......3.1.78....4761....86.4.3.1..38....85....6.9.2......
...4.6...4.718..36....73......3.1.78....6741....84.6.3.1..38....85....6.9.2......
...4.678.4..18.2.66...27.41.3.....7..95....1.8.4..........72......6.4.2...281..6.
...4.6...4.718..36....73......3.7.18....6147....84.6.3.1..38....85....6.9.2......
....567.9...1.9.36...37.51..6159.3.7......69........513......75.48......7.29.....
...4.6...4.718..36....73....4.3.7.18....6147....84.6.3.14.38....85....6.9.2......
...4.678.4..18.2.66...27.41.3.....7.795....1.8.47.........72......6.4.2...281..6.
...4.678.4..18.2.66...27.41.3.....7.795....1.8.47..........2......6.4.2...281..6.
...4.678.4..18.2.66...27.41.3.....7.795....1.8.47.1........2......6.4.....281..6.
...4.678.4..18.2.66...27.41.3.....7.795....1.8.47.1.......72......6.4.2...281..6.
...4.6...4.718..3.....73....4.3.7.18....61.7..7.84.6.3.14.38....85....6.9.2......
...4.6...4.718..36....73....4.3.7.18....6147..7.84.6.3.14.38....85....6.9.2......
...4.6...4.718..36....73....4.3.1.78....6741....84.6.3.14.38....85....6.9.2......
...4.6...4.718..36....73....4.8.1.73....6741....34.6.8.14.38....85....6.9.2......
...4.6...4.718..3.....73....4.8.1.73....67.1..7.34.6.8.14.38....85....6.9.2......
...4.6...4.718..3.....73....4.3.1.78....67.1..7.84.6.3.14.38....85....6.9.2......
....567.9...1.9.366..37.51..6159.3.7......69........513.6....75.48......7.29.....
...4.6...4.718..36....73....4.3.1.78....4761....86.4.3.14.38....85....6.9.2......
...4.6...4.718..36....73....4.8.1.73....4761....36.4.8.14.38....85....6.9.2......
1...567.9...1.9.366..37.51..6159.3.7......69........513.6....75.48......7.29.....
...4.678.4..18.2.66....2.41.3.....7.795....1.8.47.1.......2.......6.4.....281..6.
...4.678.4..18.2.66...72.41.3.....7.795....1.8.47.1.......27......6.4.2...281..6.
...4.678.4..18.2.66...72.41.3.....7.795....1.8.47.........27......6.4.2...281..6.
...4.678.4..18.2.66...72.41.3.....7..95....1.8.4..1.......27......6.4.....281..6.
...4.678.4..18.2.66...72.41.3.....7.795....1.8.47.1.......2.......6.4.....281..6.
...4.678.4..18.2.66...72.41.3.....7..95....1.8.4..........27......6.4.2...281..6.
...4.678.4..18.2.66...72.41.3.....7.795....1.8.47.........2.......6.4.2...281..6.
123.....94..1.9....8......1..6.41.97.7.69.......5.7..6....159..5..76..14...9.46.5
123.....94.71.9....8......1..6.41..7.7.69.......5.7..6....159..5..76..14...9.46.5
123.....94.71.9....8......1..6.41..7.7.6........5.7..6....159..5..76..14...9.46.5
None of thier minimals, are T&E(3).
The remaining puzzles expand to 204336 minimals, on 9539 grids -- grid count down by 9.
The puzzles have 10069 max-te3-expands -- agreeing with Denis' result, if you subtract 51 for the non-TE3 puzzles.
The max-expands, produce 204336+136= 204472 minimals.
The 136 that are missing, can be gotten from these BRT-expands - 50 of them:
Hidden Text: Show
- Code: Select all
1...5678........368..3.71...9..65...645..3...7.1...6...1.5...68...6.137......85.1
1....678.........68..3.71.5.857.136...15...78.....85.1..2..3....49..5...7.8...65.
1...5678.........68..3.71.5.857.136...15...78.....85.1..2..3....49..5...7.8...65.
12..5........89.......3..4.2.6...3.431.6...27.743..61.....6.47.7......63.6...31.2
12..5........89.......3..4.2.6...3.431.6...27.743..61..3..6.47.7......63.6...31.2
12.45........89.......3..4.2.6...3.431.....27.743..61.....6.47.7......63.6...31.2
12.45........89.......3..4.2.6...3.431.....27.743..61..3..6.47.7......63.6...31.2
12.45.7.9.571.9.......725...4.9.5...5..74..9.79..21.5....2.794..1....3...7....6.8
.234.6...4.678.2...8..............9..38...6.7...2.8315.4.6...7...2.......678.3..4
.234.6...4.678.2...8..32......3...9...8...6.7...2.8315.4.....7...2.......678.3..4
.234.6...4.678.2...8..32......3...9..38...6.7...2.8315.4.....7...2.......678.3..4
.234.67..4.678.2..78..............9..38...6.7...2.8315.4.6.......2.......678.3..4
.234.67..4.678.2..78..32......3...9...8...6.7...2.8315.4.6.......2.......678.3..4
..3.567.9..71.9.36..9...15.24....3...91.......36...59.....179...7.5.361........7.
..3.567.9..71.9.36..9...15.24....36..91.......36...59.....179...7.5.361........7.
12.4.67..4.718.2...86...1...7........642.8.7...176.....18...42..42....93......61.
12.4.67..4.718.2...86...1...7........642.8.7...176.....18...42...2....93......61.
...4..78.....8.1.3..8...56.2..5..9....9.2....84.96.2...84......5.264..9.96.8.2.5.
...4..78.....8.1.3..8...56.2..5..9....9.2....84.96.2...84......56.8.2.9.9.264..5.
...4.678....18.2.6....7..14......67.74..2.1.8.1.7.8.4239...7...5..8......6.....27
...4.678....18.2.6....7..14......67.74..2.1.8.1.7...4239...7...5..8......6.....27
...4.678....1..2.6.......14......67.74..2.1.8.1.7.8.4239...7...5..8......6.....27
...4.678....1..2.6.......142.....67.74..2.1.8.1.7.8.4239...7...5..8......6.....27
...4.678....1..2.6.......142.....67.74..2.1.8.1.7.8.4239...7...5..8......6.....2.
1...56......18...668.2.71.52.85.1.6....72....57..68.........9......75621.......73
1...56......18...668.2.71.52.85.1.6....72....57..68...7.....9......75621.......73
12..56.8..5718....6.82.7.1.......9.37.6....51......4....2...1..5.167...28...21...
12..56.8..57.8....6.82.7.........9.37.6....51......4....2...1..5.167...28...21...
.......894.7....3.6......51..4...9..3..9.48..9.8.673...3.7.8...7.6.43..884.69...3
.......894.7....3.6......51..4...9..3..9.48..9.8.673...3.7.8...7.6.43..884.69..73
.....6.894.7....3........51..4...9..3..9.48..9.8.673...3.7.8...7.6.43..884.69...3
.....6.894.7....3........51..4...9..3..9.48..9.8.673...3.7.8...7.6.43..884.69..73
...456..9......12........64.3594.6.....5.3.......6735.37..9....5.4.......693....7
...456..9......12........64.3594.67....5.3.......6735.37..9....5.4.......693.....
...4567.9......12........64.3.94.6.......3.......6735.37..9....5.4.......693....7
...4567.9......12........64.3.94.67......3.......6735.37..9....5.4.7.....693....7
....567.9.5.1.9.36.6.37.51.294.....7.1..97.....8....9.3...1597...5...........3.65
....567.9.5.1.9.36.6.37.51.294....57.1..97.....8....9.3...1597...5...........3.65
....567.9.5.1.9.36.6.37.51.294....57.1...7.....8....9.3...1597...5...........3.65
...4.6.8.4..18...6.8..72.41..481..67....27.....86.4.2.5......7.8.2.61...93....6..
...4.6.8.4..18...668..72.41..481..67....27.....86.4.2.5......7.8.2.61...93....6..
...4.6.8.4..18...668..72.41..481..67....27......6.4.2.5......7.8.2.61...93....6..
....5..89.5.18.2.68..........98.56.1...69.82...8.21.953.......2742....68..126....
....5..89.5.18.2.68..........98.56.1...69.82...8.21.953.......2742....6...126....
....5..89.5.18.2.68..........98.56.1...69.82...8.21.953.......2742....68..1.6....
....567.9.5.1.9.36.6.37.51.27869.....1....9.7..47.....3..9.76.1..6.........56.3..
....567.9.5.1.9.36.6.37.51.27869.....1....9....47.....3..9.76.1..6.........56.3..
....567.9.5.1.9.36.6.37.51.278.9.....1....9.7..47.....3..9.76.1..6.........56.3..
......78.4...8.2.66..72..54..1.7.....39..2...8.6...52.....6.4.2..42...65.6254.87.
......78.4...8.2.66..72..54..1.7.....39..2...8.6...52.....6.4.2..42...65.6.54.87.
The max-expands have 98 "twins" that aren't represented.
They produce another 1226 minimals, with 335 BRT-expands, over 97 solution grids -- 96 new, and one duplicate.
BRT-expands:
Hidden Text: Show
- Code: Select all
.........4.7.8.2.68..7...542.6.74......392.65........2.72..5.48..4...6.768...752.
.........4.7.8.2.68..7...542.6.74......392.65........2.72..5.4858...762.6.4...5.7
.......8.4.7....3668......5...61..477..3.5.......72..33.67....854.8..67..785..3.4
......7.9...7...23798...65..17..5.9.86.9.7.159.51......795.8...5.167.9..68....5..
......7.9...7...23798...65..17..5.9.86.9.7.159.51......795.8...5.16..9..68....5..
......7.....18..36.......15.319.86.486.......9.4.613.8.4.69.....86.13.4...98.4.6.
......7.....18..36.......15.319.86.4.6.......9.4.613.8.4.69.....86.13.4...98.4.6.
......7.....18..36.9.....15.319.86.486.......9.4.613.8.4.69......6.13.4...98.4.6.
......7.....18..36.9.....15.319.86.486.......9.4.613.8.4.69.....86.13.4...98.4.6.
......7.....18..36.9.....15.319.86.4.6.........4.613.8.4.69......6.13.4...98.4.6.
......7.....18..36.9.....15.319.86.4.6.........4.613.8.4.69.....86.13.4...98.4.6.
......7.....18..36.9.....15.319.86.4.6.......9.4.613.8.4.69......6.13.4...98.4.6.
......7.....18..36.9.....15.319.86.4.6.......9.4.613.8.4.69.....86.13.4...98.4.6.
......7.....189.36.......15.31..86.486.......9.4.613.8.4.69......6.13.4...98.4.6.
......7.....189.36.......15.31...6.486.......9.4.613.8.4.69.....86.13.4......4.6.
......7.....189.36.......15.31..86.4.6.......9.4.613.8.4.69......6.13.4...98.4.6.
......7.....189.36.......15.31..86.4.6.......9.4.613.8.4.69.....86.13.4....8.4.6.
......7.....189.36.......15.319.86.486.......9.4.613.8.4.69......6.13.4...98.4.6.
......7.....189.36.......15.319.86.486.......9.4.613.8.4.69.....86.13.4...98.4.6.
......7.....189.36.......15.319.86.4.6.......9.4.613.8.4.69......6.13.4...98.4.6.
......7.....189.36.......15.319.86.4.6.......9.4.613.8.4.69.....86.13.4...98.4.6.
......7.....189.36.9.....15.31..86.486.......9.4.613.8.4.69......6.13.4...98.4.6.
......7.....189.36.9.....15.31..86.4.6.......9.4.613.8.4.69......6.13.4...98.4.6.
......7.....189.36.9.....15.319.86.486.......9.4.613.8.4.69......6.13.4...98.4.6.
......7.....189.36.9.....15.319.86.486.......9.4.613.8.4.69.....86.13.4...98.4.6.
......7.....189.36.9.....15.319.86.4.6.........4.613.8.4.69......6.13.4...98.4.6.
......7.....189.36.9.....15.319.86.4.6.........4.613.8.4.69.....86.13.4...98.4.6.
1.3.......5........9.372.....4.38.9...97.4.2....92.4........9..87..93.4294.2.783.
1.3.......5........9.372.....4.38.9...97.4.2....92.4........9..87..93.4294...783.
12...6.8..5718....6.8.72.........97.7.1....65...7..4.3..28.5...5........8.6.17..2
....5.78..5.18.2.6...7.......86.51......27.68...81.5.23.2.......7126....94.....2.
.2..5....4.7.....668..3......6.7541...134.6.7.......53.....416..6..1.3.4....63.75
.2..5....4.7....3668..3......6.7541...134.6.7.......53.....416..6..1.3.4....63.75
.23.5....4.7.....668.........6.7541...134.6.7.......53.....416..6..1.3.4....63.75
....56.....678..3278.2.3..52.5..8...37.6.2....685..2.....3.78.1...8.5.948......2.
....56.....678..327..2.3..52.5..8...37.6.2....685..2.....3.78.1...8.5.948......2.
1...56.8..5.18.......3.7.51.7.....943.......8...87.61.53..681..7.65.18.....73....
1...56.8....18.......3.7.51.7.....943.......8...87.61.53..681..7.65.18.....73....
1...56.8..5.18.......3.7.51.7.....943.......8...87.61.53..618..7.65.81.....73....
1...56.8....18.......3.7.51.7.....943.......8...87.61.53..618..7.65.81.....73....
....567......8.......2.15...75..389.83.......9.4...3..3.7.4.9.8.9....47..48.9..53
....567......8.......2.15...75..389..3.......9.4...3..3.7.4.9.8.9....47..48.9..53
1..45...9..........9..72.15..17.59.4..9.14.52..4.9.17..........832..7...915....27
1..45...9..........9..72.15..17.59.4..9.14.52..429.17.....2....832..7...91.....27
1..45...9..........9..72.15..17.59.4....14.52..429.17..4..2....832..7....1.....27
1..45...9..........9..72.15..17.59.4..9.14.52..4.9.17..4.......832..7...915....27
1..4..78....18.2.6....7..41..47.861.......8.2..162..74318......5..8......76...128
1..4..78....18.2.6....7..41..47.861.......8.2..162..7431.......5.2.......76...128
1..4..78....18.2.6....7..41..47.861.......8.2..162..7431.......5..8......76...12.
1..4..78....18.2.6....7..41..47.861.......8.2..162..7431.......5.2.......76...12.
1..4..78....18.2.6....7..41..47.861.......8.2..162..74318......5.........76...12.
1..4..78....18.2.6....7..41..47.861.......8.2..162..743.........76...12891.8.....
1..4..78....18.2.6....7..41..47.861.......8.2..162..743.........76...1289128.....
1..4..78....18.2.6....7..41..47.861.......8.2..162..743.8.......76...12891.8.....
1..4..78....18.2.6....7..41..47.861.......8.2..162..743.........76...12.91.8.....
1..4..78....18.2.6....7..41..47.861.......8.2..162..743.........76...12.912......
1..4..78....18.2.6....7..41..47.861.......8.2..162..743.8.......76...12.91.......
1.3..67.9.57..9...69...315...68.........6..1.93124....3......95......37.7.....6.1
1.3..67.9.57..9...69...315...68.1.......6..1.93124....3......95......37.7.....6.1
1.3..67.9.57..9...69...315..768.........6..1.93124....3......95......37.7.....6.1
1.3..67.9.57..9...69...315..768.1.......6..1.93124....3......95......37.7.....6.1
1.3..67.9.57..9...69...315..768.........6..1.9.124...........95......37.7.....6.1
1.3..67.9.57..9...69...315..768.........6..1.9.124....3......95......37.7.....6.1
1.3..67.9.57..9...69...315..768.1.......6..1.9.124...........95......37.7.....6.1
1.3..67.9.57..9...69...315..768.1.......6..1.9.124....3......95......37.7.....6.1
...4..78.45......3.......64.49......53.9.4.1.6.13..94.3..19...6.1.6.3...96..45..1
...4..78.45....1.3.......64.49......53.9.4.1.6.13..94.3..19...6.1.6.3...96..45..1
...4..78.456.....3.......64.49......53.9.4.1.6.13..94.3..19...6.1.6.3...96..45..1
......78.456.....3.......64.49......53.....1.6.13..94.3..19...6.1.6.3...96..45..1
...4..78.456...1.3.......64..9......53.9.4.1.6.13..9..3..19...6.1.6.3...96..45..1
...4..78.456...1.3.......64.49......53.9.4.1.6.13..94.3..19...6.1.6.3...96..45..1
......78.456...1.3.......64.49......53.....1.6.13..94.3..19...6.1.6.3...96..45..1
...4..78..56.....3.......6..49......53.9.4.1.6.13..94.3..19...6.1.6.3...96..45..1
...4..78.456...1.3.......6..49......53.9.4.1.6.13..94.3..19...6.1.6.3...96..45..1
...4..78.45......3.......6..49......53.9.4.1.6.13..94.3..19...6.1.6.3...96..45..1
...4..78.45....1.3.......6..49......53.9.4.1.6.13..94.3..19...6.1.6.3...96..45..1
...4..78.456.....3.......6..49......53.9.4.1.6.13..94.3..19...6.1.6.3...96..45..1
1....6..9.5...9.36......51..35.6..4.64.......9.1.4..6.3.46.5......87........23..1
1....6..9.5...9.36......51..35.9..4.6.1.4..9.94.......3.49.5......87........23..1
...4.6.8.........686..72.542.4......39..2......5....27...76..42..2.486.5...2.587.
...4.6.8.........686..72.542.4......39..2....6.5....27...76..42..2.486.5..62.587.
...4.6.8.........68...72.542.4......39..2....6.5....27...76..42..2.486.5...2.587.
...4.6.8.....8...6....72.4523..4....5.6....72.71.2...........5.7...6482.8..2..6.7
...4.6.8.....8...6....72.4523..4....5.6....72.71.2...........5.7...6482.8.....6.7
...4.6.8.....8...6.8..72.4529.........8...572571.2....7...6582.8...4.6.7.......54
...4.6.8.....8...6.8..72.4529.........8...572571.2....7...6582.8..24.6.7.......54
...4.6.8....78....789.31....75...8.38......9.93..7..1539.1.5.785.....9.1.1.......
...4.6.8....78....789.31....75...8.38.1....9.93..7..1539...5.785.....9.1.1.......
...4.6.8....78....789.31....75.1.8.38.1....9.93..7..1539.1.5.785.....9.1.1.......
...4.6.8....78....789.31....7..1.8.38.1....9.93..7..1539.1.5.785.....9.1.1.......
...4.6.89...18.2.6.....2.4.....61.....42.8.91..894.62.571.2......6....1..3..14...
...4.6.89...18.2.6.....214.....61.....42.8.91..894.62.571.2...........12.3..14...
...4.6.89...18.2.6.....214.....61.....42.8.91..894.62.57..2......6.......3..14...
...4.6.89...18.2.6.....2.4.....61.....42.8.91..894.62.571.2......6....12.3..14...
...4.6.89...18.2.6.....214.....61.....42.8.91..894.62.57..2......6.....2.3..14...
...4.6.89....8.2.6.....214.....61.....42.8.91..894.62.57..2......6....1..3...4...
...4.6.89....8.2.6.....214.....61.....42.8.91..894.62.571.2......6....12.3...4...
...4.6.89...18.2.6.....2.4.....61.....49.8.21..824.69.571.2......6....1..3..14...
...4.6.89...18.2.6.....214.....61.....49.8.21..824.69.571.2...........12.3..14...
...4.6.89...18.2.6.....214.....61.....49.8.21..824.69.57..2......6.......3..14...
...4.6.89...18.2.6.....2.4.....61.....49.8.21..824.69.571.2......6....12.3..14...
...4.6.89...18.2.6.....214.....61.....49.8.21..824.69.57..2......6.....2.3..14...
...4.6.89....8.2.6.....214.....61.....49.8.21..824.69.57..2......6....1..3...4...
...4.6.89....8.2.6.....214.....61.....49.8.21..824.69.571.2......6....12.3...4...
1.3...78..57....366.....5.1.68......53.6.7...7.18.56.331...8......9.4.6....2.....
1.3...78..57....366.....5.1.68......53.6.7...7.18.56.331...8......91436....2.....
1.3...78..57....366.....5.1.68......53.6.7...7.18.56..31...8......91436....2.....
1.3...78..57.8..3668....5.1.68......53.6.7...7.18.56.331...8......9.4.6....2.....
1.3...78..57.8..3668....5.1.68......53.6.7...7.18.56.331...8......91436....2.....
1.3...78..57.8..3668....5.1.68......53.6.7...7.18.56..31...8......91436....2.....
1.3...78..57....366.....5.1.68......5.18.76..73.6.5...31...8......91436....2.....
1.3...78..57....366.....5.1.68......5.18.76.373.6.5...31...8......9.4.6....2.....
1.3...78..57....366.....5.1.68......5.18.76.373.6.5...31...8......91436....2.....
1.3...78..57.8..3668....5.1.68......5.18.76..73.6.5...31...8......91436....2.....
1.3...78..57.8..3668....5.1.68......5.18.76.373.6.5...31...8......9.4.6....2.....
1.3...78..57.8..3668....5.1.68......5.18.76.373.6.5...31...8......91436....2.....
.2........571.9...8......14...3.4.9539..1547.54.97.3.1..47.3.5.....91.43........7
.2........571.9...8.9....1....3.4.9539..1547.54.97.3.1..47.3.5.....91.43........7
.2........571.9...8.9....14...3.4.9539..1547.54.97.3.1..47.3.5.....91.43........7
.2.......4571.9...8......14...3.4.9539..1547.54.97.3.1..47.3.5.....91.43........7
.2.......4571.9...8.9....1....3.4.9539..15.7.54.97.3.1..47.3.5.....91.43........7
.2.......4571.9...8.9....1....3.4.9539..1547.54.97.3.1..47.3.5.....91.43........7
.2.......4571.9...8.9....14...3.4.9539..1547.54.97.3.1..47.3.5.....91.43........7
.2......9.571.....8......1....3.4.9539..1547.54.97.3.1..47.3.5.....91.43........7
.2......9.571.....8......14...3.4.9539..1547.54..7.3.1..47.3.5.....91.43........7
.2......9.571.9...8.9....1....3.4.9539..1547.54.97.3.1..47.3.5.....91.43........7
.2......9.571.9...8.9....14...3.4.9539..1547.54.97.3.1..47.3.5.....91.43........7
.2......94571.9...8.9....14...3.4.9539..1547.54.97.3.1..47.3.5.....91.43........7
.2......94571.9...8.9....1....3.4.9539..15.7.54.97.3.1..47.3.5.....91.43........7
.2......94.71.9...6.9...5....8.75.14..5...9.7..49.185.....94..884.71..95...5.8...
.2......94.71.9...6.9...5....8.71.54..5...9.7..49.581.....94..884.71..95...5.8...
..3.........1.9.36.68327....36..5.91.........8.1.9...53.58..96.61.9..5.8.89....13
..3...78..56.....3....3..64.49......53.9.4.1.6.13..94.3..19...6.1.6.3...96..45..1
...4.678.4.....2.6.....2.45..5.....8.3.8.....9.8..7.....6.4852...4...8.7..27.5.64
...4.678.4.....2.6.....2.45..5.....8.3.8.4...9.8..7.....6.4852...4...8.7..27.5.64
...4.678.4.....2.6.....2.45..5.....8.3.8.....9....7.....6.4852...4...8.7..27.5.64
...4.678.4.....2.6.....2.45..5.....8.3.8.....9.8..7.....2.4856...4...8.7..67.5.24
...4.678.4.....2.6.....2.45..5.....8.3.8.4...9.8..7.....2.4856...4...8.7..67.5.24
...4.678.4.....2.6.....2.45..5.....8.3.8.....9....7.....2.4856...4...8.7..67.5.24
..3..6.8.4.7.89..6....3.....7689....3.8.47...94.6.38.....3749.8.3......5.......1.
..3..6.8.4.7.89..6....3.....7689....3.8.47...94.6.38.....3749...3......5.......1.
..3..6.8.4.7.89.36....3.....7689....3.8.47...94.6.38.....3749.8.3......5.......1.
..3..6.8.4.7.89..6....3.....7689....3.8.74...94.6.38.....3479.8.3......5.......1.
..3..6.8.4.7.89..6....3.....7689....3.8.74...94.6.38.....3479...3......5.......1.
..3..6.8.4.7.89.36....3.....7689....3.8.74...94.6.38.....3479.8.3......5.......1.
1.3.5.....57.8..3668..7.1.5..8...6..3.68...175.....3.873.5.8......932..1...7....3
1.3.5.....57.8..3668..7.1.5..8...6..3.68...175.....3.8731..8......932..1...7....3
1.3.5.....57.8..3668..7.1.5..8...6..3.68...175.....3.87315........932..1...7....3
1.3.5.....57.8..3668..7.1.5..8...6..3.68...175.....3.8731.........932..1...7....3
...4.6.8.........668..72.542.4......31..2....8.5....27..87...42..2.486.5...2.587.
...4.6.894..1...3......31.424.8......39...84.7.86............68..49.83.1..136.49.
...4.6.894..1...3......31.424.8......39...84.7..6............68..49.83.1..136.49.
.2..5....4...89...........123........647...137.16..42.34.....62.72...1.4..6...37.
.2..5....4...89..........4123........647...13..16...2.34.....62.72...1.4..6...37.
.2..5....4...89......3....123........647...137.16..42.34.....62..2...1.4..6...37.
.2..5....4...89......3...4.23........647...137.16...2.34.....62..2...1.4..6...37.
...4.6...4.718..366.8.731.4239....415.......3..631.....6.8.741....64.3.8....31..7
...4.6...4.718..3.6.8.731.4239....415.......3..631.......8.741....64.3.8....31..7
...4.6...4.718...66.8.731.42.9....4.5..........631.....6.8.741....64.3.8....31..7
...4.6...4.718..366.8.731.4239....415..........6.1.....6.8.741....64.3.8....31..7
...4.6...4.718..3.6.8.731.42.9....4.5..........631.....6.8.741....64.3.8....31..7
...4.6...4.718..366.8.731.42.9....4.5..........631.....6.8.741....64.3.8....31..7
...4.6...4.718..366.8.73..4239....415.......3..631.....6.8.741....64.3.8....31..7
...4.6...4.718..3.6.8.73..4239....415.......3..631.......8.741....64.3.8....31..7
...4.6...4.718..366.8.73..4239....415..........6.1.....6.8.741....64.3.8....31..7
12..56.8..5718....8.62.7.5.21....47.......5..67....9.35..8..6...6..128.5.8.6.5...
12..56.8..5718....8.62.7.5.21....47....7..5..67....9.35..8..6..76..128.5.8.6.5...
12..56.8..5718....8.62.7.5.21....47....7.....67....9.35..8..6..76..12....8.6.5...
12..56.8..5718....8.62.7.5.21....47....7.....67....9.35..8..6...6..12....8.6.5...
12..56.8..5718....8.62.7.5.21....47.......5..67....9.35..8..6...6..128.5...6.5...
12..56.8..5718....8.62.7.5.21....47....7..5..67....9.35..8..6..76..128.5...6.5...
12..56.8..5718....8.62.7...21....47....7..5..67....9.35..8..6..76..128...8.6.5...
12..56.8..5718....8.62.7.5.21....47....7.....67....9.3...8..6..76..12....8.6.5...
12..56.8..5718....8.62.7...21....47....7..5..67....9.35..8..6..76..128.....6.5...
.2..5.......1.92......27.5.....3....36....19..48...32.5..7.291.7...935.2...51..73
.2..5.7...571.923.....27.5..7..3....36....19..48...32.5..7.291.7...935.2...51..73
.2..5.......1.923.....27.5.....3....36....19..48...32.5..7.291.7...935.2...51..73
.2..5.......1.923.....27.5..7.......3.....19..48....2.5..7.291.7...935.2...51..73
.2..5.....5.1.923.....27.5..7.......36....19..48....2.5..7.291.....935.2...51..73
.2..5.....571.923.....27.5..7.......36....19..48....2.5..7.291.7...935.2...51..73
.2..5.7...571.923.....27....7..3....36....19..48...32.5..7.291.7...935.2...51..73
.2..5.....5.1.923.....27....7.......36....19..48....2.5..7.291.7...935.2...51..73
.2..5.....5.1.923.....27....7.......36....19..48....2.5..7.291.....935.2...51..73
.2..5.....5.1.923.....27.5..7.......36....19..48....2.5..7.291.7...935.2...51..73
.2..5.7.....1.92......27.5.....3....36....19..48...32.5..7.291.7...935.2...51..73
.2..5.7.....1.923.....27.5.....3....36....19..48...32.5..7.291.7...935.2...51..73
.2..5.7...571.923.....27.5..7.......36....19..48....2.5..7.291.7...935.2...51..73
.2..5.7...571.923.....27....7.......36....19..48....2.5..7.291.7...935.2...51..73
.2..5.......1.92......27.5.....3....36....91..48...32.5..7.219.7...935.2...51..73
.2..5.7...571.923.....27.5..7..3....36....91..48...32.5..7.219.7...935.2...51..73
.2..5.......1.923.....27.5.....3....36....91..48...32.5..7.219.7...935.2...51..73
.2..5.......1.923.....27.5..7.......3.....91..48....2.5..7.219.7...935.2...51..73
.2..5.....5.1.923.....27.5..7.......36....91..48....2.5..7.219.....935.2...51..73
.2..5.....571.923.....27.5..7.......36....91..48....2.5..7.219.7...935.2...51..73
.2..5.7...571.923.....27....7..3....36....91..48...32.5..7.219.7...935.2...51..73
.2..5.....5.1.923.....27....7.......36....91..48....2.5..7.219.7...935.2...51..73
.2..5.....5.1.923.....27....7.......36....91..48....2.5..7.219.....935.2...51..73
.2..5.....5.1.923.....27.5..7.......36....91..48....2.5..7.219.7...935.2...51..73
.2..5.7.....1.92......27.5.....3....36....91..48...32.5..7.219.7...935.2...51..73
.2..5.7.....1.923.....27.5.....3....36....91..48...32.5..7.219.7...935.2...51..73
.2..5.7...571.923.....27.5..7.......36....91..48....2.5..7.219.7...935.2...51..73
.2..5.7...571.923.....27....7.......36....91..48....2.5..7.219.7...935.2...51..73
.2.4..78.......2.668.27..5424....6.8.76...54.5.8....72....9....86.315.........8.5
.2.4..78.......2.668.27..5424...76.8.76...54.5.8....72....9....86.315......7..8.5
.2.4..78.......2.668.27..5424...76.8.76...54.5.8....72....9....86.315.........8.5
.2.456....5..........37..5123..9.1.7.75.1..93......52.3.....91.59.....72.1.9..3.5
.2.456....5..........37...123..9.1.7.75.1..93.......2.3.....91.59.....72.1.9..3.5
.2.456....5..........37..5127..9.1.3.35.1..97......52.3.....91.59.....72.1.9..3.5
.2.456....5..........37...127..9.1.3.35.1..97.......2.3.....91.59.....72.1.9..3.5
....5678..5718....6..3.7......7.8.45...5.189...5...6.15.68....371.6.3..8.3...5...
....5678..5718....6..3.7......7.8.4....5.189...5...6.15.68....371.6.3..8.3...5...
....5678..5718....6..3.7......7.8.4....5.189.......6.15.68....371.6.3..8.3...5...
.23....894.7......68..........8..5.33.521.89........21....92.1....5.19.8...3...52
.23...7894.6......78.......2.78.395.3.5.9.8.7.......23.....739..3.9...75.7.3.52.8
.23...7894.6......78.........78.395...5.9.8.........2......739..3.9...75.7.3.52.8
1.3......45.789....89......2.49.8.7....54....9.5.274.8.4.29...7.9.8.52.4....749..
1.3......45.789....89......2..9.8.7....5.....9...274.8.4.29...7.9.8.52.4....749..
.2.4.6.......8..3..8.37....23..68...7.824...3.647.3..8.46....12......3...7....95.
.2.4.6.....7.8.....8.37....23..68...7.824...3.647.3..8.46....12......3...7....95.
.2.4.6.....7.8..3..8.37....23..68...7.824...3.647.3..8.46....12......3...7....95.
.234.6.....7.8..3..8.37....23..68...7.824...3.647.3..8.46....12......3...7....95.
.2.4.6.......8..3..8.37....23..68...7.824...3.467.3..8.64....12......3...7....95.
.2.4.6.....7.8.....8.37....23..68...7.824...3.467.3..8.64....12......3...7....95.
.2.4.6.....7.8..3..8.37....23..68...7.824...3.467.3..8.64....12......3...7....95.
.234.6.....7.8..3..8.37....23..68...7.824...3.467.3..8.64....12......3...7....95.
...4..7.94.......3.8....41.2...67.9..6.29....79.8.4.26.46.28...87.......9.274.6..
...4..7.94.......368....41.2...67.9..6.29.....9.8.4.26.46.28...87.......9.274.6..
...4..7.9........3.8....41.2...67.9..6.29....79.8.4.26.46.28...87.......9.274.6..
...4..7.9........368....41.2...67.9..6.29....79.8.4.26.46.28...87.......9.274.6..
12..567...571.92..6.927.....9....67.76.....43....6.5.2.76.95.2.....1....91...2...
..3.5678....18..36...3.75.1.41...65.3...15....9........3.8.1.658...63.7....57....
..3.5678....18..36...3.75.1241...65.3...15....9.......73.8.1.658...63.7....57....
....5678....18..36...3.75.124....6......15....9........3.8.1.658...63.7....57....
....5678....18..36...3.75.124....6......15....9.......73.8.1.658...63.7....57....
1....6.8..5.18....68..73......36.47....7..6.2.76....1....63....73..158...618.73.5
1....6.8..5.18....68..73....76....1....7..6.4...36.97273..15......63.....61..73.5
1....6.8..5.18....68..73....76....1....7..6.4...36.97273..15......63.....618.73.5
....5678..5.18.....6.3.71....68.137.3...756.....63.....82....1.67.518...9........
1..45...9..........9..72.15..9.14.57..4.9.12...12.59.4382..........2....915....72
1..45...9..........9..72.15..9.14.57..479.12...12.59.4382..7.......2....91.....72
1..45...9..........9..72.15....14.57..479.12....2.59.4382..7....4..2......5....72
1..45...9..........9..72.15....14.57..479.12...12.59.4382..7....4..2.....1.....72
1..45...9..........9..72.15..9.14.57..4.9.12...12.59.4382.......4..2....915....72
....56......7.9...78921....2.7.41.98.48.9..1.91......4..19..82..921...4787.......
...4.6....57....3..9..........6.14.8....4832.8..32..61..186...2...2.3....82.146.3
...4.6....57....3..9..........6.14.8....4832....32..61..186...2...2.3....82.146.3
...4.6...457....36.9..........6.14.8....4832.8..32..61..186...2...2.3....82.146.3
...4.6...457....36.9..........6.14.8....4832.8..32..61..186...2...2.3....82.14..3
...4.6...457....36.9..........6.14.8....4832....32..61..186...2...2.3....82.146.3
...4.6...457....36.9..........6.14.8....4832....32..61..186...2...2.3....82.14..3
1.3.56..945.1.9.36...3......35..49..61.9.34..9.45........6.157454.....9......5..2
12.4..7.94.71.923...9......2..87.......9..37.7.43.5...3.1.9.4.7..2....939...3.12.
12.4..7.94.71.923...9......2..87.......9..37.7.13.5...3.4.9.1.7..2....939...3.42.
1.3...789.56...1.27.91.....2...7849....9.12..9..24..1..9....8.1..481.92........74
1.3...789.56...1.27.91.....2...7849....9.12..9..24..1..9....8.1..481.9.........74
1.3...789.56.....27.9......2...7849....9.12..9..24..1..9....8.1..481.92........74
1.3...789.56.....27.9......2...7849....9.12..9..24..1..9....8.1..481.9.........74
1.3...789.56......7.9......2...7849....9.1...9..24..1..9....8.1..481.92........74
1.3...789.56...1..7.91.....2...7849....9.1...9..24..1..9....8.1..481.92........74
1.3.5678..5.......68...715....6735..........6......42.3..7.1..557..68..1.1.53....
1.3.5678..5.......68.3.715....67.5.8........6......42.3..7.1..557..68..1.1.53....
1.3.5678..5.......68.3.715....6735..........6......42.3..7.1..557..68..1.1.53....
1.3.5678..57......68....15....6735..........6......42.3....1..557..68..1.1.53....
1.3.5678..57......68...715....6735..........6......42.3..7.1..55...68..1.1.53....
1.3.5678..57......68.3.715....67.5.8........6......42.3..7.1..557..68..1.1.53....
1.3.5678..57......68.3.715....6735..........6......42.3..7.1..557..68..1.1.53....
1.3.5678..57......68.3.715....6735..........6......42.3..7.1..55...68..1.1.53....
......7.....189.36.......51.6894...3...8.1...91..63..4...3.4....46.1839..3.69..4.
1.3.56..94..1.9.....9.......31.649..6.591.4..94.5.36.....6.51.7.....1.26.16...39.
1.3.56..94..1.9.....9.......31.649..6.5.1.4...4.5.36.....6.51.7.....1.26.16...39.
1.3.56..94..1.9.............31.649..6.591.4..94.5.36.....6.51.7.....1.26.16...39.
1.3.567...5718....68....5...35.7....7.1..5..386..31.57316...8.5.............1.642
12..5.78..57.8.2.66.8.2..15...8.45.1...91.8.78.1.65...........878.....5..165.8.72
12.4..7.94.....2...8.....14.....497..94..81.271...2.48...8.1.97.7.6.....94..37...
12.4..7.9......2...8.....14......97..9...81.271...2.48...8.1.97.7.6.....94..37...
12.4..7.94.....2...8.....14......97..94..81.271...2.48...8.1.97.7.6.....9...37...
12.4..7.94.....2...8.....14.....497..94..81.271...2.48...8.1.97.7.6.....9...37...
1.3.5.78........366...7.5.1........75.....81.7.1..86.33....4...8.693........1536.
1.3.5.78........3668..7.5.1..8.....75.....81.7.1..86.33....4.....693........1536.
1.3.5.78.....8..3668..7.5.1..8.....75.....81.7.1..86.33....4...8.693........1536.
1.3.5.78.....8..3668..7.5.1..8.....75.....81.7.1..86.33....4.....693........1536.
1.3.567.9.57..9..669....51.......3..36.9...5..71...96.7..3.5......7.41......28.7.
1.3.567.9.57..9.3669....51.......3..36.9...5..71...96.7..3.5......7.41......2..7.
1.3.567.9.57..9.3669....51.......3..36.9...5..71...96.7..3.5......7.41......28...
1.3.567.9.57..9.3669....51.......3..36.9...5..71...96.7..3.5......7.41......2....
1..45...9..........9..72.15..17.59.4..9.14.52..4.9.17..........832.47...9.5....27
1..45...9..........9..72.15..17.59.4..9.14.52..429.17.....2....832.47...9.5....27
1.345..8945.....3..98.......84....5131...594.5.9..48.3.31.48......27139.....6....
1.345..8945.....3..98.......84....5131...594.5.9..48.3.31.48......2.1.9.....6....
1.345..8945.....3..98.......84....5131...594.5.9...8.3.31..8......27139.....6....
1.345..8945.....3..98.......84....5131...594.5.9..48.3..1.48......27139.....6....
.2....78....1.9236.......5.2.19.48...9871.4..74..28....12.97.488.4..1...97.......
12....78....1.9236.......5.2.19.48...9871.4..74..28....12.97.488.4..1...97.......
12....78......92.6.......5.2.19.48...9871.4..74..28....12.97.488.4..1...97.......
1...567.9...1.9.366..73.51...156...7...9.3..1.........384....95..2....7371.3.5...
1...567.9...1.9.366..73.51...156...7...9.3..1.........384....95..2....737..3.5...
.2....78....1.9236.......542.8.6..1..619.8...79..12.68.768..........76..9.26.18..
12...6......78........32...26..4.9.13.49..6...19......6....349..4....3.693...4.12
12.4.6......78........32...26..4.9.13.49..6...19......6....349..4....3.693...4.12
123..6......78........32...26..4.9.13.49..6...19......6....349..4....3.693...4.12
1234.6......78........32...26..4.9.13.49..6...19......6....349..4....3.693...4.12
1..4.6.8.4..18....6...72.4123.7.......962....8.1....27.1.8.7.62...2..1.4..2...87.
12...6....571.92.66.9...1..2.57.1.6.79..62.1....59.........5..4572....91....1.35.
1.3...7...571....368.37.1.5...9..8.....2.8..68367.5...3.1..75.857...16...68......
12..5.78..5.1..2.3.........27...513.8.1..35.2.35..1.78......8.....9683.778.5.2...
.....678.4.7...2.668...2.452.856.47.5......62..62..5.8....18...8..92.......6.4827
12..56....567.9..27.912....21......7.....182....2.53.1.7.......56..1..9.9..5..6..
12..56....567.9..27.912....21......7.....182....2.53.1.7.......56..1..9.9.....6..
12..56....5678....7.81.25.....8.564....6...35.65...2....2.......87.6...1.1...8.7.
12..56....5678....7.81.25.....8.564....6...35.65...2....2.......87.6...1.1.....7.
12..567...5678....7.81.25.....8.564....6...35..5...2....2.......87.6...1.1...8.7.
12..567...5678....7.81.25.....8.564....6...35..5...2....2.......87.6...1.1.....7.
12..56....57..9..66.9......2.6.1597..917.256.57....12.712...........1.4.....2.3..
12..56....57..9..66.9......2.6.1597..917.256.57....1..712...........1.4.....2.3..
12..56....57..9..66.9.......71...........1.4.....2.3...927.516.5.6.1297.71....52.
12..56....57..9..66.9......271...........1.4.....2.3...927.516.5.6.1297.71....52.
12..56....57..9..66.9......271...........1.4.....2.3...927.516.5.6.1297.71....5..
....5..8....1....6689......29...4.7..74......8.6....42.4279..6876.84.92.9.826....
....5..8....1....6689......29...4.7..74......8.6....42.4279..6876.84.92.9.82.....
12..56..9.57......6.9.7...52..6.5.9..65.91...9..7..65........4.......83.....12...
12..56..9.57......6.9.7...52..6.5.9..65.91...9.172..5........4.......83.....12...
12..56..9.57......6.9.7...52..6.519..65.91...9..7..65........4.......83.....12...
12..56..9.57......6.9.7...52..6.519..65.91...9..72..5........4.......83.....12...
........9...189.36......54..7..13...3..7.8.1.81.96.37..68.37......89...393.6.1..7
12..5.78..57.8.2.66.8.2..15....136.8.16.72........41..5........7.1..586...2...5.1
1.3...78....18.2.36.8....412.5.31..8.368.5..281.62...5..251....5..........1.68...
......78....18.2.36.8....412.5.31..8.368.5..2...62...5..251....5..........1.68...
1...567.9...1.9.366..73.51...156...7............9.3..1384....95..2.....3.163.5...
1...567.9...1.9.366..73.51...156...7............9.3..1.84....95..2.....3.16..5...
1...567.9...1.9.366..73.51...156...7............9.3..1384....95..2.....3..63.5...
1...567.9...1.9.366..73.51...156...7............9.3..1.84....95..2.....3..6..5...
12.456......1.9..6....37.1.28...514..15.42.68..........415..62.5.26..8..86.....5.
12.456......1.9..6....37...28...514..15.42.68..........415..62.5.26..8..86.....5.
.....6..94.....23..8.....5..9..41..7.4876...1...9.8....7481....8.6.97...91.6.4...
...4.6..94.....23..8.....5..9..41..7.4876...1...9.8....7481....8.6.97...91.6.4...
The final expanded list has: 205698 minimals with 9635 solution grids,
Added: It looks like its really 48846 BRT expansions. I'm gussing that some are subsets of others (?)
Added2: Conformed that. BRT expansions are a mess, aren't they ?
14708 or the 48846, are not subsets of any other(s), and are sufficient for producing the 205698 minimals.
Also noticed: Colin's list contains several entries that are not BRT expansions of minimal puzzles.
