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 ag24ag24 » Fri Jul 19, 2024 4:07 am

I'm a newcomer to this forum and this amazing thread - apologies if I should have been able to find the answer to this question. Is there a version of the ph_2010 database in which the puzzles are given with candidates included? I'm developing my own solver and I'd like to be able to start a puzzle at a place where the easiest next elimination has a specific (estimated) difficulty.
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Re: The hardest sudokus (new thread)

Postby Paquita » Tue Jul 23, 2024 10:12 am

Hi ag24ag24

As far as I know there is no such database
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Re: The hardest sudokus (new thread)

Postby Paquita » Tue Jul 23, 2024 10:16 am

Edit : mistake in list

(I used gridchecker --similar --removeredundant to calculate minimals, I had an interesting list but turns out they are not minimal - so much for gridchecker. I returned to my own minimal algorithm and that is really slow for larger amounts of removable clues. I suppose there is no alternative to that time consuming process, or does anyone know of software that can perform this task?)
Last edited by Paquita on Tue Jul 23, 2024 5:27 pm, edited 2 times in total.
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Re: The hardest sudokus (new thread)

Postby P.O. » Tue Jul 23, 2024 12:40 pm

hi ag24ag24,
what you need is a solver that can output the pm at each step of the solving path, like for example Andrew Stuart solver: import a puzzle, then 'solve path' and you can load the pm before each technique used in the path.
however the ph_2010 database may not be the most suitable collection of puzzles to use when developing a solver, their SE rating ranging from 11.0 to 11.9 they need quite sophisticated techniques to solve.
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Re: The hardest sudokus (new thread)

Postby eleven » Tue Jul 23, 2024 5:11 pm

Paquita wrote:Edit : mistake in list

?? Had a quick look at the first one, which seems to be really hard (no tridagon):
Code: Select all
..3..6....5.18....6....2...2...6...4......9...7.8...1.....1.89...4.....3.9..7..5.
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Re: The hardest sudokus (new thread)

Postby denis_berthier » Tue Jul 23, 2024 5:25 pm

.
It has BxB = 7 and is therefore the 4th one with so high BxB and without a tridagon.
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Re: The hardest sudokus (new thread)

Postby coloin » Thu Jul 25, 2024 2:22 am

denis_berthier wrote:.
It has BxB = 7 and is therefore the 4th one with so high BxB and without a tridagon.

Alas …. I think it is one of the 3 known .

Regarding gridchecker … please post the non minimal puzzle which Dobrichev’s program fails to minimise !
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Re: The hardest sudokus (new thread)

Postby denis_berthier » Thu Jul 25, 2024 4:42 am

Paquita wrote:Edit : mistake in list

(I used gridchecker --similar --removeredundant to calculate minimals, I had an interesting list but turns out they are not minimal - so much for gridchecker. I returned to my own minimal algorithm and that is really slow for larger amounts of removable clues. I suppose there is no alternative to that time consuming process, or does anyone know of software that can perform this task?)


I use gsf's program, with command line:

Code: Select all
./sudoku-gsf -f'%#.c' -m -qFN -e'M>0&&uniq()&&minimal==1' puzzles.txt | sed s/0/./g > minimals.txt


Generate all the minimal puzzles for the puzzles in file “puzzles.txt”, put them in solution-minlex format [the %#.c part], with dots for empty cells [the | sed s/0/./g part], making sure that:
1) they are not in T&E(0) [the M>0 part];
2) no two isomorphic puzzles will appear [the uniq() part];
and store the results in file “minimals.txt”.
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Re: The hardest sudokus (new thread)

Postby Paquita » Thu Jul 25, 2024 2:57 pm

I have a new list, all T&E(2), no BxB above 6

Code: Select all
..3..678....18..63...3.75.1...7.38.57..86..3.....15..6...5.1....4........91....5. ED=11.9/1.2/1.2
...45..........2.6..9.7....2.6.1.9.8.18......97......1.62..1.977.....8.289...761. ED=11.9/1.2/1.2
...45...9......2.6....7....2.6.1.9.8.18......97......1.62..1.977.....8.289...761. ED=11.9/1.2/1.2
...45..........2.6..9.7....2.6.1.9.8.18......97......1.62..1.97..1...8.289...76.. ED=11.9/1.2/1.2
...45...9......2.6....7....2.6.1.9.8.18......97......1.62..1.97..1...8.289...76.. ED=11.9/1.2/1.2
1..........6........8....4..1.39.5...3.5.7.1..7..4..9.....7.9..5..9.4.73...13.45. ED=11.8/1.2/1.2
1..........6........8....4..1.39.5...3.5.7.14.7..4..9.....7.9..5..9.4.73...13..5. ED=11.8/1.2/1.2
1..........6........8....4..1.39.5.7.3.5...1..7..4..9.....7.9..5..9.4.73...13.45. ED=11.8/1.2/1.2
1..........6........8....4..1.39.5.7.3.5...14.7..4..9.....7.9..5..9.4.73...13..5. ED=11.8/1.2/1.2
1...5678.........668.7.2.15...57......5.68.2..782.1.5...........91.......3.....72 ED=11.8/1.2/1.2
1...5678.........668.7.2.15...57......5.68.2..782.16............91.......3.....72 ED=11.8/1.2/1.2
1....6.8..5....2.668.7...15...57......5.68.27.782.1.5...........91.2.....3.....72 ED=11.8/1.2/1.2
1....6.8..5....2.668.7...15...57......5.68.27..82.16............91.2.....3.....72 ED=11.8/1.2/1.2
1...56.8.......2.668.7...15...57......5.68.27.782.1.5...........91.2.....3.....72 ED=11.8/1.2/1.2
1...56.8.......2.668.7...15...57......5.68.27..82.16............91.2.....3.....72 ED=11.8/1.2/1.2
1....678..5......668.7.2.15...57......5.68.2..78..16............91.2.....3.....72 ED=11.8/1.2/1.2
12...6.8.........668.7.2.15...57......5.68.7..782.1.5...........91.......3.....27 ED=11.8/1.2/1.2
12...678.........668.7.2.15...57......5.68....782.1.5...........91.......3.....27 ED=11.8/1.2/1.2
12...6.8.........668.7.2.15...57......5.68.7...82.16............91.......3.....27 ED=11.8/1.2/1.2
12...678.........668.7.2.15...57......5.68.....82.16............91.......3.....27 ED=11.8/1.2/1.2
12...6.8.......2.668.7...15...57......5.68.7..782.1.5...........91.2.....3.....27 ED=11.8/1.2/1.2
12...678.......2.668.7...15...57......5.68....782.1.5...........91.2.....3.....27 ED=11.8/1.2/1.2
12...6.8.......2.668.7...15...57......5.68.7...82.16............91.2.....3.....27 ED=11.8/1.2/1.2
12...678.......2.668.7...15...57......5.68.....82.16............91.2.....3.....27 ED=11.8/1.2/1.2
12...6.8.........668.7.2.15...57......5.68.72.78..1.5...........91.2.....3.....27 ED=11.8/1.2/1.2
12...6.8.......2.668.7...15...57......5.68.72.78..1.5...........91.2.....3.....27 ED=11.8/1.2/1.2
12...6.8.........668.7.2.15...57......5.68.72..8..16............91.2.....3.....27 ED=11.8/1.2/1.2
12...6.8.......2.668.7...15...57......5.68.72..8..16............91.2.....3.....27 ED=11.8/1.2/1.2
1...5678.........668.7.2.15...57......5.68..2.78..1.5...........91.2.....3.....27 ED=11.8/1.2/1.2
1...5678.........668.7.2.15...57......5.68..2..8..16............91.2.....3.....27 ED=11.8/1.2/1.2
12...678.........668.7.2.15...57......5.68..2..8..16............91.2.....3.....27 ED=11.8/1.2/1.2
12...678.......2.668.7...15...57......5.68..2..8..16............91.2.....3.....27 ED=11.8/1.2/1.2
12...6.8.........668.7.2.15...57......5.68.27.782.1.5...........91.......3.....72 ED=11.8/1.2/1.2
12...6.8.......2.668.7.2.15...57......5.68..7.782.1.5...........91.......3.....72 ED=11.8/1.2/1.2
12...678.........668.7.2.15...57......5.68.2..782.1.5...........91.......3.....72 ED=11.8/1.2/1.2
12...678.........668.7.2.15...57......5.68.2..782.16............91.......3.....72 ED=11.8/1.2/1.2
12...678.......2.668.7.2.15...57......5.68....782.1.5...........91.......3.....72 ED=11.8/1.2/1.2
12...678.......2.668.7.2.15...57......5.68....782.16............91.......3.....72 ED=11.8/1.2/1.2
12...6.8.........668.7.2.15...57......5.68.27..82.16............91.......3.....72 ED=11.8/1.2/1.2
12...6.8.......2.668.7.2.15...57......5.68..7..82.16............91.......3.....72 ED=11.8/1.2/1.2
12...6.8.......2.668.7...15...57......5.68..7.782.1.5...........91.2.....3.....72 ED=11.8/1.2/1.2
12...678.......2.668.7...15...57......5.68....782.1.5...........91.2.....3.....72 ED=11.8/1.2/1.2
12...678.......2.668.7...15...57......5.68....782.16............91.2.....3.....72 ED=11.8/1.2/1.2
12...6.8.......2.668.7...15...57......5.68..7..82.16............91.2.....3.....72 ED=11.8/1.2/1.2
12...6.8.........668.7.2.15...57......5.68.27.78..1.5...........91.2.....3.....72 ED=11.8/1.2/1.2
12...6.8.......2.668.7...15...57......5.68.27.78..1.5...........91.2.....3.....72 ED=11.8/1.2/1.2
12...6.8.........668.7.2.15...57......5.68.27..8..16............91.2.....3.....72 ED=11.8/1.2/1.2
12...6.8.......2.668.7...15...57......5.68.27..8..16............91.2.....3.....72 ED=11.8/1.2/1.2
1...5678.........668.7.2.15...57......5.68.2..78..1.5...........91.2.....3.....72 ED=11.8/1.2/1.2
1...5678.........668.7.2.15...57......5.68.2..78..16............91.2.....3.....72 ED=11.8/1.2/1.2
1...5678.......2.668.7...15...57......5.68.2..782.16............91.2.....3.....72 ED=11.8/1.2/1.2
1....67......8.2.66..2.7.51...8.1.7...172.5.8....65.12.34........65...........8.. ED=11.8/1.2/1.2
1....678.....8.2.66..2.7.51...8.1.7...172.5......65.12.34........65...........8.. ED=11.8/1.2/1.2
1...567......8.2.66..2.7.51...8.1.7...172.5.8....6..12.34........65...........8.. ED=11.8/1.2/1.2
1...5678.....8.2.66..2.7.51...8.1.7...172.5......6..12.34........65...........8.. ED=11.8/1.2/1.2
1...567.......926.6..27..15...91...7..17.259.....65.21.34............9....65..... ED=11.8/1.2/1.2
1...567.9.....926.6..27..15...91...7..17.25......65.21.34............9....65..... ED=11.8/1.2/1.2
12...678.........668.7.2.15...57......5.68.2..78..1.5...........91.2.....3.....72 ED=11.8/1.2/1.2
12...678.........668.7.2.15...57......5.68.2..78..16............91.2.....3.....72 ED=11.8/1.2/1.2
12...678.......2.668.7...15...57......5.68.2..78..1.5...........91.2.....3.....72 ED=11.8/1.2/1.2
12...678.......2.668.7...15...57......5.68.2..78..16............91.2.....3.....72 ED=11.8/1.2/1.2
1....678..5......668.7.2.15...57......5.68..2..82.16............91.......3.....27 ED=11.8/1.2/1.2
1....678..5......668.7.2.15...57......5.68..2..8..16............91.2.....3.....27 ED=11.8/1.2/1.2
1....678..5....2.668.7...15...57......5.68..2..82.16............91.2.....3.....27 ED=11.8/1.2/1.2
12...678.......2.668.7...15...57......5.68..2.78..1.5...........91.2.....3.....27 ED=11.8/1.2/1.2
12...678.........668.7.2.15...57......5.68..2.78..1.5...........91.2.....3.....27 ED=11.8/1.2/1.2
1....678..5......668.7.2.15...57......5.68.2..782.16............91.......3.....72 ED=11.8/1.2/1.2
1...5678.........668.7.2.15...57......5.68..2.782.1.5...........91.......3.....27 ED=11.8/1.2/1.2
1...5678.........668.7.2.15...57......5.68..2..82.16............91.......3.....27 ED=11.8/1.2/1.2
1...56.8.......2.668.7...15...57......5.68.72.782.1.5...........91.2.....3.....27 ED=11.8/1.2/1.2
1...56.8.......2.668.7...15...57......5.68.72..82.16............91.2.....3.....27 ED=11.8/1.2/1.2
1...5678.......2.668.7...15...57......5.68..2.782.1.5...........91.2.....3.....27 ED=11.8/1.2/1.2
1...5678.......2.668.7...15...57......5.68..2..82.16............91.2.....3.....27 ED=11.8/1.2/1.2
1....678.....8..366..3.75.1..183..5....7.18......651.3.......7..42........65..... ED=11.8/1.2/1.2
1...5678.....8..366..3.75.1..183..5....7.18......6.1.3.......7..42........65..... ED=11.8/1.2/1.2
1...5678.....8..366..3.75.1..183..5....7.18......651.3.......7..42.....5..6...... ED=11.8/1.2/1.2
..3...78..571...3686.7..1.5....94...6...7...........5.3.8.1..6.51......3.76...8.1 ED=11.8/1.2/1.2
..3...78..571...3686.7..1.5....946......7...........5.3.8.1..6.51......3.76...8.1 ED=11.8/1.2/1.2
.....678....18..63...3.75.1...7.38.57..86..3..3..15..6...5.1....4........91....5. ED=11.8/1.2/1.2
1.3.5..8.45...9....893..4.....5...7151..............6.3..9.4....9183....84..15... ED=11.8/1.2/1.2
1.3.5..8.45..89.....93..4.....5...7151..............6.3..9.4....9183....84..15... ED=11.8/1.2/1.2
1.3.5..8.4....9....893..4.....5...7151..............6.3.59.4....9.83....84..15... ED=11.8/1.2/1.2
1.3.5..8.4...89.....93..4.....5...7151..............6.3.59.4....9.83....84..15... ED=11.8/1.2/1.2
1.3.5....45..89....893..4.....5...7151..............6.3..9.4..8.9183....84..15... ED=11.8/1.2/1.2
1.3.5....4...89....893..4.....5...7151..............6.3.59.4..8.9.83....84..15... ED=11.8/1.2/1.2
..345.....5.7.9.2.7.9.32.4.23........7539.2..9.42...........4.....9..6.8...57.... ED=11.8/1.2/1.2
.2345.....5.7.9.2.7.9.3..4.23........7539.2..9.42...........4.....9..6.8...57.... ED=11.8/1.2/1.2
..345.....5.7.9.2.7...32.4.23........7539.2..9.42......9....4........6.8...57.... ED=11.8/1.2/1.2
..345.....5.7.9.2.7.9.32.4.23........7539.2....42......9....4........6.8...57.... ED=11.8/1.2/1.2
.2345.....5.7.9.2.7...3..4.23........7539.2..9.42......9....4........6.8...57.... ED=11.8/1.2/1.2
.2345.....5.7.9.2.7.9.3..4.23........7539.2....42......9....4........6.8...57.... ED=11.8/1.2/1.2
1....678..5......668.7.2.15...57......5.68..2.782.1.5...........91.......3.....27 ED=11.8/1.2/1.2
1....6.8..5....2.668.7...15...57......5.68.72.782.1.5...........91.2.....3.....27 ED=11.8/1.2/1.2
1....6.8..5....2.668.7...15...57......5.68.72..82.16............91.2.....3.....27 ED=11.8/1.2/1.2
1....678..5......668.7.2.15...57......5.68.2..782.1.5...........91.......3.....72 ED=11.8/1.2/1.2
..3.56..9...7.9..2..923.56....3.5.76....672.....92.3.5.4........1.....579........ ED=11.8/1.2/1.2
1....678..5......668.7.2.15...57......5.68.2..78..1.5...........91.2.....3.....72 ED=11.8/1.2/1.2
1....678..5....2.668.7...15...57......5.68.2..782.1.5...........91.2.....3.....72 ED=11.8/1.2/1.2
1....678..5....2.668.7...15...57......5.68.2..782.16............91.2.....3.....72 ED=11.8/1.2/1.2
1...5678.......2.668.7...15...57......5.68.2..782.1.5...........91.2.....3.....72 ED=11.8/1.2/1.2
1....678..5......668.7.2.15...57......5.68..2.78..1.5...........91.2.....3.....27 ED=11.8/1.2/1.2
1....678..5....2.668.7...15...57......5.68..2.782.1.5...........91.2.....3.....27 ED=11.8/1.2/1.2
1..........6........8....4..1.39...7.3.5...1..75.4..9.....759.....9.4.73...13.45. ED=11.8/1.2/1.2
1..........6........8....4..1.39...7.3.5...14.75.4..9.....759.....9.4.73...13..5. ED=11.8/1.2/1.2
1..........6........8....4..1.39.5...3.5.7.1..7..4..9.....759.....9.4.73...13.45. ED=11.8/1.2/1.2
1..........6........8....4..1.39.5...3.5.7.14.7..4..9.....759.....9.4.73...13..5. ED=11.8/1.2/1.2
1..........6........8....4..1.39.5.7.3.5...1..7..4..9.....759.....9.4.73...13.45. ED=11.8/1.2/1.2
1..........6........8....4..1.39.5.7.3.5...14.7..4..9.....759.....9.4.73...13..5. ED=11.8/1.2/1.2
1..........6........8....4..1.39...7.3.5...1..75.4..9.....7.9..5..9.4.73...13.45. ED=11.8/1.2/1.2
1..........6........8....4..1.39...7.3.5...14.75.4..9.....7.9..5..9.4.73...13..5. ED=11.8/1.2/1.2
1...56.8.........668.7.2.15...57......5.68.27.782.1.5...........91.......3.....72 ED=11.7/1.5/1.5
1...56.8.........668.7.2.15...57......5.68.27..82.16............91.......3.....72 ED=11.7/1.2/1.2
1...56.8.........668.7.2.15...57......5.68.27.78..1.5...........91.2.....3.....72 ED=11.7/1.2/1.2
1...56.8.........668.7.2.15...57......5.68.27..8..16............91.2.....3.....72 ED=11.7/1.2/1.2
1....6.8..5......66..7.2.15...57......5.68.27.78..1.5...........91.2....83.....72 ED=11.7/1.2/1.2
1....6.8..5....2.66..7...15...57......5.68.72..82.16............91.2....83.....27 ED=11.7/1.2/1.2
1....6.8..5....2.66..7...15...57......5.68.27..82.16............91.2....83.....72 ED=11.7/1.2/1.2
1....678..5......66..7.2.15...57......5.68.2..782.1.5...........91......83.....72 ED=11.7/1.2/1.2
1....678..5......66..7.2.15...57......5.68.2..782.16............91......83.....72 ED=11.7/1.2/1.2
1....678..5......66..7.2.15...57......5.68.2..78..1.5...........91.2....83.....72 ED=11.7/1.2/1.2
1....678..5....2.66..7...15...57......5.68.2..782.1.5...........91.2....83.....72 ED=11.7/1.2/1.2
1....678..5....2.66..7...15...57......5.68.2..782.16............91.2....83.....72 ED=11.7/1.2/1.2
.2345.....5.7.9.2.7...3..4.23........75.9.2..9.42......9....4.......36.8...57.... ED=11.7/1.2/1.2
.2345.....5.7.9.2.7.9.3..4.23........75.9.2....42......9....4.......36.8...57.... ED=11.7/1.2/1.2
1....678..5......66..7.2.15...57......5.68..2.782.1.5...........91......83.....27 ED=11.7/1.2/1.2
1....6.8..5....2.66..7...15...57......5.68.72.782.1.5...........91.2....83.....27 ED=11.7/1.2/1.2
..3..6..9.5.1.9.63...37..1.........7......94....7.5.2.3.65..1..51........79..165. ED=11.7/1.2/1.2
..3..6..9.571.9.63...37..1.........7......94....7.5.2.3.65..1...1........79..165. ED=11.7/1.2/1.2
..3..6..9.571.9.63...37..1.........7......94....7.5.2.3.65..1...1........79.3.65. ED=11.7/1.2/1.2
..3.56..9..71.9.63...37..1.........7......94....7.5.2.3.6...1..51........79..165. ED=11.7/1.2/1.2
..3.56..9..71.9.63...37..1.........7......94....7.5.2.3.6...1..51........79.3.65. ED=11.7/1.2/1.2
..3.56..9.5.1.9.63...37..1.........7......94....7.5.2.3.6...1..51........79..165. ED=11.7/1.2/1.2
..3.56..9.5.1.9.63...37..1.........7......94....7.5.2.3.6...1..51........79.3.65. ED=11.7/1.2/1.2
..3.56..9.571.9.63...37..1.........7......94....7.5.2.3.6...1...1........79..165. ED=11.7/1.2/1.2
..3.56..9.571.9.63...37..1.........7......94....7.5.2.3.6...1...1........79.3.65. ED=11.7/1.2/1.2
..3..6..9.5.1.9.63...37..1.........7......94....7.5.2.3.65..1..51........79.3.6.. ED=11.7/1.2/1.2
1....6.8..5....2.66..7...15...57......5.68.27.782.1.5...........91.2....83.....72 ED=11.7/1.2/1.2
..3..6..9.5.1.9.63...37..1.........77.....94......5.2.3.65..1..51........79.3.6.. ED=11.7/1.2/1.2
..3..6..9.5.1.9.63...37..1.........77.....94......5.2.3.65..1...1.........9..165. ED=11.7/1.2/1.2
..3..6..9.5.1.9.63...37..1.........77.....94......5.2.3.65..1...1.........9.3.65. ED=11.7/1.2/1.2
.234...89.57.....6...3....52........7.6....4..356.4.2..6..47.....426.....7.5.3... ED=11.7/1.2/1.2
.234...89.57.....6...3....52..7.....7.6....4..35..4.2..6..47.....426.....7.5.3... ED=11.7/1.2/1.2
.234...89.57.....6...3....524.......7.6....4..356...2..6..47.....426.....7.5.3... ED=11.7/1.2/1.2
.234...89.57.....6...3....524.7.....7.6....4..35....2..6..47.....426.....7.5.3... ED=11.7/1.2/1.2
.234...89.57.....6...3....5.........7.6....4..356.4.2..6...7.....426.....725.3... ED=11.7/1.2/1.2
.234...89.57.....6...3....5...7.....7.6....4..35..4.2..6...7.....426.....725.3... ED=11.7/1.2/1.2
.234...89.57.....6...3....5.4.......7.6....4..356...2..6...7.....426.....725.3... ED=11.7/1.2/1.2
.234...89.57.....6...3....5.4.7.....7.6....4..35....2..6...7.....426.....725.3... ED=11.7/1.2/1.2
.234...89.57.....6...3....52........7.6....4..356.4.2..6...7..2..426.....7.5.3... ED=11.7/1.2/1.2
.234...89.57.....6...3....52..7.....7.6....4..35..4.2..6...7..2..426.....7.5.3... ED=11.7/1.2/1.2
1.3..6..9.571.9.63...37............7......94....7.5.2.3.65..1..51........79..165. ED=11.7/1.2/1.2
1.3.56..9.571.9.63...37............7......94....7.5.2.3.6...1..51........79..165. ED=11.7/1.2/1.2
1.3.56..9.571.9.63...37............7......94....7.5.2.3.6...1..51........79.3.65. ED=11.7/1.2/1.2
1.3..6..9.571.9.63...37............7......94....7.5.2.3.65..1..51........79.3.6.. ED=11.7/1.2/1.2
1.3..6..9.5.1.9.63...37............77.....94......5.2.3.65..1..51........79.3.6.. ED=11.7/1.2/1.2
1.3..6..9.5.1.9.63...37............77.....94......5.2.3.65..1..51.........9..165. ED=11.7/1.2/1.2
1.3..6..9.5.1.9.63...37............77.....94......5.2.3.65..1..51.........9.3.65. ED=11.7/1.2/1.2
.234...89.57.....6...3....5..47.....76.....4..35....2...6..7....4.26......25.3... ED=11.7/1.2/1.2
.234...89.57.....6...3....52.47.....76.....4..35....2...6..7....4.26.......5.3... ED=11.7/1.2/1.2
.234...89.57.....6...3....5...7.....76.....4..35..4.2...6..7....4.26......25.3... ED=11.7/1.2/1.2
.234...89.57.....6...3....52..7.....76.....4..35..4.2...6..7....4.26.......5.3... ED=11.7/1.2/1.2
.234...89.57.....6...3....5..4......76.....4..356...2...6..7....4.26......25.3... ED=11.7/1.2/1.2
.234...89.57.....6...3....52.4......76.....4..356...2...6..7....4.26.......5.3... ED=11.7/1.2/1.2
.234...89.57.....6...3....5.........76.....4..356.4.2...6..7....4.26......25.3... ED=11.7/1.2/1.2
.234...89.57.....6...3....52........76.....4..356.4.2...6..7....4.26.......5.3... ED=11.7/1.2/1.2
....56...4.7.........73....2.8.9..47......92.9.....3.838.9..47..943..8.27.2.....3 ED=11.7/1.2/1.2
....56...4.7.........73....2.8.9..47......92.9.....3.838.9..47...43..8.27.2....9. ED=11.7/1.2/1.2
..345.....5.7.9.2.7.9.32.4.23........75.9.2..9.42...........4.....9.36.8...57.... ED=11.7/1.2/1.2
.2345.....5.7.9.2.7.9.3..4.23........75.9.2..9.42...........4.....9.36.8...57.... ED=11.7/1.2/1.2
..345.....5.7.9.2.7...32.4.23........75.9.2..9.42......9....4.......36.8...57.... ED=11.7/1.2/1.2
..345.....5.7.9.2.7.9.32.4.23........75.9.2....42......9....4.......36.8...57.... ED=11.7/1.2/1.2
.2.4.6...4...891...8921.6..2.1.......68..1...94.8.2..1......4.6...9.4..........73 ED=11.7/1.2/1.2
12.4.6...4...891...892..6..2.1.......68..1...94.8.2..1......4.6...9.4..........73 ED=11.7/1.2/1.2
1...56.8.........668.7.2.15...57......5.68.72.78..1.5...........91.2.....3.....27 ED=11.7/1.2/1.2
1...56.8.........668.7.2.15...57......5.68.72..8..16............91.2.....3.....27 ED=11.7/1.2/1.2
1....678..5....2.66..7...15...57......5.68..2.782.1.5...........91.2....83.....27 ED=11.7/1.2/1.2
...45..8.......2.6..9.7....2.6.1.9...18......97......1.62..1.977.....8.289...761. ED=11.7/1.2/1.2
...45..8.......2.6..9.7....2.6.1.9...18......97......1.62..1.97..1...8.289...76.. ED=11.7/1.2/1.2
...45..89......2.6....7....2.6.1.9...18......97......1.62..1.977.....8.289...761. ED=11.7/1.2/1.2
...45..89......2.6....7....2.6.1.9...18......97......1.62..1.97..1...8.289...76.. ED=11.7/1.2/1.2
12...6.8..5......66..7.2.15...57......5.68.7..782.1.5...........91......83.....27 ED=11.7/1.2/1.2
12...678..5......66..7.2.15...57......5.68....782.1.5...........91......83.....27 ED=11.7/1.2/1.2
12...678..5......66..7.2.15...57......5.68.....82.16............91......83.....27 ED=11.7/1.2/1.2
12...6.8..5....2.66..7...15...57......5.68.7...82.16............91.2....83.....27 ED=11.7/1.2/1.2
12...6.8..5....2.66..7...15...57......5.68.7..782.1.5...........91.2....83.....27 ED=11.7/1.2/1.2
12...678..5....2.66..7...15...57......5.68.....82.16............91.2....83.....27 ED=11.7/1.2/1.2
..3.56..9...1.9.63...37..1.........77.....94......5.2.3.6...1..51.........9..165. ED=11.7/1.2/1.2
..3.56..9.5.1.9.63...37..1.........77.....94......5.2.3.6...1...1.........9..165. ED=11.7/1.2/1.2
..3.56..9...1.9.63...37..1.........77.....94......5.2.3.6...1..51.........9.3.65. ED=11.7/1.2/1.2
..3.56..9.5.1.9.63...37..1.........77.....94......5.2.3.6...1...1.........9.3.65. ED=11.7/1.2/1.2
1.3.56..9.5.1.9.63...37............77.....94......5.2.3.6...1..51.........9..165. ED=11.7/1.2/1.2
1.3.56..9.5.1.9.63...37............77.....94......5.2.3.6...1..51.........9.3.65. ED=11.7/1.2/1.2
1...5.7.9.5....26.6...2..51.9.83....71...........7.9...615....2..2...1..97.2..6.5 ED=11.7/1.2/1.2
12..5.7.9.5.....6.6...2..51.9.83....71...........7.9...615....2..2...1..97.2..6.5 ED=11.7/1.2/1.2
12..5.7.9.5....26.6......51.9.83....71...........7.9...615....2..2...1..97.2..6.5 ED=11.7/1.2/1.2
1...5.7.9.5....26.6...2...1.9.83.5..71...........7.9...615....2..2......97.2..6.5 ED=11.7/1.2/1.2
12..5.7.9.5.....6.6...2...1.9.83.5..71...........7.9...615....2..2......97.2..6.5 ED=11.7/1.2/1.2
12..5.7.9.5....26.6.......1.9.83.5..71...........7.9...615....2..2......97.2..6.5 ED=11.7/1.2/1.2
1...5.7.9......26.6...2..51.9.83....71...........7.9...615....25.2...1..97.2..6.. ED=11.7/1.2/1.2
12..5.7.9.......6.6...2..51.9.83....71...........7.9...615....25.....1..97.2..6.. ED=11.7/1.2/1.2
12..5.7.9......26.6......51.9.83....71...........7.9...615....25.....1..97.2..6.. ED=11.7/1.2/1.2
1...56.8.........66.82.7.15.........514........9....72....68.27...52.....8.7.165. ED=11.7/1.5/1.5
1...56.8.........66.82.7.15.........514........9....72....68.27...5......827.1.5. ED=11.7/1.5/1.5
1...56.8.........66.82.7.15.........514........9....72....68.27...5......827.16.. ED=11.7/1.5/1.5
1...56.8.........66.82.7.15.........514.7......9....72....68.27...52.....8...165. ED=11.7/1.2/1.2
1...56.8.........66.82.7.15.........514.7......9....72....68.27...5......82..1.5. ED=11.7/1.2/1.2
1...56.8.........66.82.7.15.........514.7......9....72....68.27...5......82..16.. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..1.........7......94....7.5.263.65..1..51........79..165. ED=11.7/1.2/1.2
..3..6..9.571.9..3...37..1.........7......94....7.5.263.65..1...1........79..165. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..1.........7......94....7.5.263.65..1..51........79.3.6.. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..1.........7......94....7.5.263.65..1..51........79.3..5. ED=11.7/1.2/1.2
..3..6..9.5.1.9.63...37..1.........7......94....7.5.263.65..1..51........79.3.... ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..1.........77.....94......5.263.65..1..51........79.3.6.. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..1.........77.....94......5.263.65..1...1........79.3..5. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..1.........77.....94......5.263.65..1...1.........9..165. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..1.........77.....94......5.263.65..1...1.........9.3.65. ED=11.7/1.2/1.2
..3..6..9.5.1.9.63...37..1.........77.....94......5.263.65..1..51........79.3.... ED=11.7/1.2/1.2
1...56.8.........66.82.7.15.........514........9....27....68.72...52.....8.7.165. ED=11.7/1.5/1.5
1...56.8.........66.82.7.15.........514........9....27....68.72...5......827.1.5. ED=11.7/1.5/1.5
1...56.8.........66.82.7.15.........514........9....27....68.72...5......827.16.. ED=11.7/1.5/1.5
1...56.8.........66.82.7.15.........514.7......9....27....68.72...52.....8...165. ED=11.7/1.2/1.2
1...56.8.........66.82.7.15.........514.7......9....27....68.72...5......82..1.5. ED=11.7/1.2/1.2
1...56.8.........66.82.7.15.........514.7......9....27....68.72...5......82..16.. ED=11.7/1.2/1.2
1...56.8.........668.7.2.15...57......5.68.72.782.1.5...........91.......3.....27 ED=11.7/1.5/1.5
1...56.8.........668.7.2.15...57......5.68.72..82.16............91.......3.....27 ED=11.7/1.2/1.2
12...678..5....2.66..7...15...57......5.68..2..8..16............91.2....83.....27 ED=11.7/1.2/1.2
12...6.8..5....2.66..7...15...57......5.68.72..8..16............91.2....83.....27 ED=11.7/1.2/1.2
12...678..5....2.66..7...15...57......5.68..2.78..1.5...........91.2....83.....27 ED=11.7/1.2/1.2
12...678..5....2.66..7...15...57......5.68....782.1.5...........91.2....83.....27 ED=11.7/1.2/1.2
12...678..5....2.66..7...15...57......5.68....782.1.5...........91.2....83.....72 ED=11.7/1.2/1.2
12...6.8..5....2.66..7...15...57......5.68.72.78..1.5...........91.2....83.....27 ED=11.7/1.2/1.2
12...6.8..5....2.66..7...15...57......5.68..7..82.16............91.2....83.....72 ED=11.7/1.2/1.2
12...6.8..5....2.66..7.2.15...57......5.68..7..82.16............91......83.....72 ED=11.7/1.2/1.2
..3.56..9.5.1.9..3...37..1.........7......94....7.5.263.6...1..51........79.3..5. ED=11.7/1.2/1.2
12...678..5....2.66..7...15...57......5.68....782.16............91.2....83.....72 ED=11.7/1.2/1.2
12...678..5....2.66..7.2.15...57......5.68....782.16............91......83.....72 ED=11.7/1.2/1.2
..3.56..9..71.9..3...37..1.........7......94....7.5.263.6...1..51........79..165. ED=11.7/1.2/1.2
..3.56..9.5.1.9..3...37..1.........7......94....7.5.263.6...1..51........79..165. ED=11.7/1.2/1.2
..3.56..9.571.9..3...37..1.........7......94....7.5.263.6...1...1........79..165. ED=11.7/1.2/1.2
12...6.8..5....2.66..7.2.15...57......5.68..7.782.1.5...........91......83.....72 ED=11.7/1.2/1.2
12...678..5....2.66..7.2.15...57......5.68....782.1.5...........91......83.....72 ED=11.7/1.2/1.2
12...6.8..5....2.66..7...15...57......5.68..7.782.1.5...........91.2....83.....72 ED=11.7/1.2/1.2
12...6.8..5....2.66..7...15...57......5.68.27..8..16............91.2....83.....72 ED=11.7/1.2/1.2
..3.56..9...1.9..3...37..1.........77.....94......5.263.6...1..51........79.3..5. ED=11.7/1.2/1.2
..3.56..9...1.9..3...37..1.........77.....94......5.263.6...1..51.........9.3.65. ED=11.7/1.2/1.2
..3.56..9.5.1.9..3...37..1.........77.....94......5.263.6...1...1........79.3..5. ED=11.7/1.2/1.2
..3.56..9.5.1.9..3...37..1.........77.....94......5.263.6...1...1.........9.3.65. ED=11.7/1.2/1.2
12...678..5....2.66..7...15...57......5.68.2..78..16............91.2....83.....72 ED=11.7/1.2/1.2
..3.56..9...1.9..3...37..1.........77.....94......5.263.6...1..51.........9..165. ED=11.7/1.2/1.2
..3.56..9.5.1.9..3...37..1.........77.....94......5.263.6...1...1.........9..165. ED=11.7/1.2/1.2
12...678..5....2.66..7...15...57......5.68.2..78..1.5...........91.2....83.....72 ED=11.7/1.2/1.2
12...6.8..5....2.66..7...15...57......5.68.27.78..1.5...........91.2....83.....72 ED=11.7/1.2/1.2
12..5.7.9......26.6.......1.9.83.5..71...........7.9...615....25........97.2..6.5 ED=11.7/1.2/1.2
12..5.7.9......26.6......51.9.83.5..71...........7.9...615....25........97.2..6.. ED=11.7/1.2/1.2
12..5.7.9.5....26.6.......1.9.83.5..71...........7.9...615....25........97.2..6.. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..1.........7......941...7.5.2.3.65.....51........79..165. ED=11.7/1.2/1.2
..3..6..9.571.9..3...37..1.........7......941...7.5.2.3.65......1........79..165. ED=11.7/1.2/1.2
..3..6..9.571.9..3...37..1.........7......941...7.5.2.3.65......1........79.3.65. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..1.........7......941...7.5.2.3.65.....51........79.3.6.. ED=11.7/1.2/1.2
..3..6..9.571.9..3...37..15........7......94....7.5.2.3.65..1...1........79..165. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..15........7......94....7.5.2.3.65..1..51........79..16.. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..15........7......94....7.5.2.3.65..1..51........79.3.6.. ED=11.7/1.2/1.2
..3..6..9.571.9..3...37..15........7......94....7.5.2.3.65..1...1........79.3.6.. ED=11.7/1.2/1.2
..3..6..9.571.9..3...37..1.......5.7......94....7.5.2.3.65..1...1........79..165. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..1.......5.7......94....7.5.2.3.65..1..51........79..16.. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..1.......5.7......94....7.5.2.3.65..1..51........79.3.6.. ED=11.7/1.2/1.2
..3..6..9.571.9..3...37..1.......5.7......94....7.5.2.3.65..1...1........79.3.6.. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..1.........7..5...94....7.5.2.3.65..1...1........79..165. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..1.........7..5...94....7.5.2.3.65..1...1........79.3.65. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..1.........7..5...94....7.5.2.3.65..1..51........79.3.6.. ED=11.7/1.2/1.2
..3.56..9..71.9..3...37..15........7......94....7.5.2.3.6...1..51........79..165. ED=11.7/1.2/1.2
..3.56..9..71.9..3...37..15........7......94....7.5.2.3.65..1..51........79..16.. ED=11.7/1.2/1.2
..3.56..9..71.9..3...37..15........7......94....7.5.2.3.6...1..51........79.3.6.. ED=11.7/1.2/1.2
..3.56..9.571.9..3...37..15........7......94....7.5.2.3.6...1...1........79..165. ED=11.7/1.2/1.2
..3.56..9.571.9..3...37..15........7......94....7.5.2.3.6...1...1........79.3.6.. ED=11.7/1.2/1.2
..3.56..9.5.1.9..3...37..15........7......94....7.5.2.3.6...1..51........79..165. ED=11.7/1.2/1.2
..3.56..9.5.1.9..3...37..15........7......94....7.5.2.3.6...1..51........79.3.6.. ED=11.7/1.2/1.2
1.3..6..9.5.1.9..3...37............7......941...7.5.2.3.65..1..51........79..165. ED=11.7/1.2/1.2
1.3..6..9.571.9..3...37............7......941...7.5.2.3.65..1...1........79..165. ED=11.7/1.2/1.2
1.3..6..9.571.9..3...37............7......941...7.5.2.3.65..1...1........79.3.65. ED=11.7/1.2/1.2
1.3..6..9.5.1.9..3...37............7......941...7.5.2.3.65..1..51........79.3.6.. ED=11.7/1.2/1.2
..3..6..9.571.9..3...37..1.........7......94....7.5.263.65..1...1........79.3..5. ED=11.7/1.2/1.2
..3.56..9..71.9.63...37..1.......5.7......94....7.5.2.3.65..1..51........79..16.. ED=11.7/1.2/1.2
..3.56..9..71.9..3...37..1.......5.7......94....7.5.2.3.6...1..51........79..165. ED=11.7/1.2/1.2
..3.56..9..71.9..3...37..1.......5.7......94....7.5.2.3.6...1..51........79.3.65. ED=11.7/1.2/1.2
..3.56..9..71.9.63...37..1.......5.7......94....7.5.2.3.6...1..51........79.3.6.. ED=11.7/1.2/1.2
..3.56..9...1.9.63...37..1.........7..5...94....7.5.2.3.65..1..51........79.3.6.. ED=11.7/1.2/1.2
..3.56..9...1.9..3...37..1.........7..5...94....7.5.2.3.65..1...1........79..165. ED=11.7/1.2/1.2
..3.56..9...1.9..3...37..1.........7..5...94....7.5.2.3.65..1...1........79.3.65. ED=11.7/1.2/1.2
..3.56..9...1.9..3...37..1.........7..5...94....7.5.2.3.6...1..51........79..165. ED=11.7/1.2/1.2
..3.56..9...1.9..3...37..1.........7..5...94....7.5.2.3.6...1..51........79.3.65. ED=11.7/1.2/1.2
..3.56..9.571.9..3...37..1.......5.7......94....7.5.2.3.6...1...1........79..165. ED=11.7/1.2/1.2
..3.56..9.571.9..3...37..1.......5.7......94....7.5.2.3.6...1...1........79.3.6.. ED=11.7/1.2/1.2
..3.56..9.5.1.9..3...37..1.........7..5...94....7.5.2.3.6...1...1........79..165. ED=11.7/1.2/1.2
..3.56..9.5.1.9..3...37..1.........7..5...94....7.5.2.3.6...1...1........79.3.65. ED=11.7/1.2/1.2
..3.56..9..71.9..3...37..1.........7......941...7.5.2.3.6......51........79..165. ED=11.7/1.2/1.2
..3.56..9..71.9..3...37..1.........7......941...7.5.2.3.6......51........79.3.65. ED=11.7/1.2/1.2
..3.56..9.5.1.9..3...37..1.........7......941...7.5.2.3.6......51........79..165. ED=11.7/1.2/1.2
..3.56..9.5.1.9..3...37..1.........7......941...7.5.2.3.6......51........79.3.65. ED=11.7/1.2/1.2
..3.56..9.571.9..3...37..1.........7......941...7.5.2.3.6.......1........79..165. ED=11.7/1.2/1.2
..3.56..9.571.9..3...37..1.........7......941...7.5.2.3.6.......1........79.3.65. ED=11.7/1.2/1.2
..3.56..9.5.1.9..3...37..1.......5.7......94....7.5.2.3.6...1..51........79..165. ED=11.7/1.2/1.2
..3.56..9.5.1.9..3...37..1.......5.7......94....7.5.2.3.6...1..51........79.3.6.. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..1.........77.....941.....5.2.3.65.....51........79.3.6.. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..1.........77.....941.....5.2.3.65......1.........9..165. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..1.........77.....941.....5.2.3.65......1.........9.3.65. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..1.......5.77.....94......5.2.3.65..1...1........79.3.6.. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..1.......5.77.....94......5.2.3.65..1...1.........9..165. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..1.......5.77.....94......5.2.3.65..1...1.........9.3.65. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..1.......5.77.....94......5.2.3.65..1..51.........9..16.. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..1.......5.77.....94......5.2.3.65..1..51.........9.3.6.. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..1.........77.5...94......5.2.3.65..1..51........79.3.6.. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..1.........77.5...94......5.2.3.65..1...1.........9..165. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..1.........77.5...94......5.2.3.65..1...1.........9.3.65. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..15........77.....94......5.2.3.65..1...1........79.3.6.. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..15........77.....94......5.2.3.65..1...1.........9..165. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..15........77.....94......5.2.3.65..1...1.........9.3.65. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..15........77.....94......5.2.3.65..1..51.........9..16.. ED=11.7/1.2/1.2
..3..6..9.5.1.9..3...37..15........77.....94......5.2.3.65..1..51.........9.3.6.. ED=11.7/1.2/1.2
1.3..6..9.5.1.9..3...37............77.....941.....5.2.3.65..1..51........79.3.6.. ED=11.7/1.2/1.2
1.3..6..9.5.1.9..3...37............77.....941.....5.2.3.65..1...1.........9..165. ED=11.7/1.2/1.2
1.3..6..9.5.1.9..3...37............77.....941.....5.2.3.65..1...1.........9.3.65. ED=11.7/1.2/1.2
..3.56..9...1.9..3...37..1.......5.77.....94......5.2.3.6...1..51.........9..165. ED=11.7/1.2/1.2
..3.56..9...1.9..3...37..1.......5.77.....94......5.2.3.6...1..51.........9.3.65. ED=11.7/1.2/1.2
..3.56..9...1.9..3...37..1.........77.5...94......5.2.3.65..1...1.........9..165. ED=11.7/1.2/1.2
..3.56..9...1.9..3...37..1.........77.5...94......5.2.3.65..1...1.........9.3.65. ED=11.7/1.2/1.2
..3.56..9...1.9..3...37..1.........77.5...94......5.2.3.6...1..51.........9..165. ED=11.7/1.2/1.2
..3.56..9...1.9..3...37..1.........77.5...94......5.2.3.6...1..51.........9.3.65. ED=11.7/1.2/1.2
..3.56..9.5.1.9..3...37..1.......5.77.....94......5.2.3.6...1...1........79.3.6.. ED=11.7/1.2/1.2
..3.56..9.5.1.9..3...37..1.......5.77.....94......5.2.3.6...1...1.........9..165. ED=11.7/1.2/1.2
..3.56..9.5.1.9..3...37..1.......5.77.....94......5.2.3.6...1...1.........9.3.65. ED=11.7/1.2/1.2
..3.56..9.5.1.9..3...37..1.........77.5...94......5.2.3.6...1...1.........9..165. ED=11.7/1.2/1.2
..3.56..9.5.1.9..3...37..1.........77.5...94......5.2.3.6...1...1.........9.3.65. ED=11.7/1.2/1.2
1..4.........8.......2.......53...7636...785.8.....1.35.1...3.767..3..18.3....56. ED=11.7/1.2/1.2
1..4.........8.......2.......53...7636...785.8.....1.35.1.6.3.767..3..18.3....5.. ED=11.7/1.2/1.2
1..4.........8.......2.......5..8.7636...7.5.8.....1.35.1...3.767..3..18.3....56. ED=11.7/1.2/1.2
1..4.........8.......2.......5..8.7636...7.5.8.....1.35.1.6.3.767..3..18.3....5.. ED=11.7/1.2/1.2
..3.56..9..71.9..3...37..1.........7......94....7.5.263.6...1..51........79.3..5. ED=11.7/1.2/1.2
..3.56..9.571.9..3...37..1.........7......94....7.5.263.6...1...1........79.3..5. ED=11.7/1.2/1.2
1....6.8..5......668.7.2.15...57......5.68.72.782.1.5...........91.......3.....27 ED=11.7/1.2/1.2
1....6.8..5......668.7.2.15...57......5.68.72..82.16............91.......3.....27 ED=11.7/1.2/1.2
1....6.8..5......668.7.2.15...57......5.68.72.78..1.5...........91.2.....3.....27 ED=11.7/1.2/1.2
1....6.8..5......668.7.2.15...57......5.68.72..8..16............91.2.....3.....27 ED=11.7/1.2/1.2
1....6.8..5......668.7.2.15...57......5.68.27.782.1.5...........91.......3.....72 ED=11.7/1.2/1.2
1....6.8..5......668.7.2.15...57......5.68.27..82.16............91.......3.....72 ED=11.7/1.2/1.2
1....6.8..5......668.7.2.15...57......5.68.27.78..1.5...........91.2.....3.....72 ED=11.7/1.2/1.2
1....6.8..5......668.7.2.15...57......5.68.27..8..16............91.2.....3.....72 ED=11.7/1.2/1.2
1....6.8..5......66..7.2.15...57......5.68.72.782.1.5...........91......83.....27 ED=11.7/1.2/1.2
1....6.8..5......66..7.2.15...57......5.68.72..82.16............91......83.....27 ED=11.7/1.2/1.2
1....6.8..5......66..7.2.15...57......5.68.72.78..1.5...........91.2....83.....27 ED=11.7/1.2/1.2
1....6.8..5......66..7.2.15...57......5.68.72..8..16............91.2....83.....27 ED=11.7/1.2/1.2
1....6.8..5......66..7.2.15...57......5.68.27.782.1.5...........91......83.....72 ED=11.7/1.2/1.2
1....6.8..5......66..7.2.15...57......5.68.27..82.16............91......83.....72 ED=11.7/1.2/1.2
1....6.8..5......66..7.2.15...57......5.68.27..8..16............91.2....83.....72 ED=11.7/1.2/1.2
.23.56..9...7.9.....923.56....3.5.76....672.....92.3.5.4........1.....579........ ED=11.7/1.2/1.2
12...6.8..5......66..7.2.15...57......5.68.7...82.16............91......83.....27 ED=11.7/1.2/1.2
1....678..5......66..7.2.15...57......5.68..2..82.16............91......83.....27 ED=11.7/1.2/1.2
1....678..5......66..7.2.15...57......5.68..2..8..16............91.2....83.....27 ED=11.7/1.2/1.2
1....678..5....2.66..7...15...57......5.68..2..82.16............91.2....83.....27 ED=11.7/1.2/1.2
1....678..5......66..7.2.15...57......5.68..2.78..1.5...........91.2....83.....27 ED=11.7/1.2/1.2
1....678..5......66..7.2.15...57......5.68.2..78..16............91.2....83.....72 ED=11.7/1.2/1.2
12..567...56......7.81.2...2.5.67....8721...6.1...8......82..9.........5.......3. ED=11.7/1.2/1.2
12..567...56.8....7.81.2...2.5.67....8721...6.1..........82..9.........5.......3. ED=11.7/1.2/1.2
..345.....5.7.9.2.7.9.32.4.23........7539....9.42...........4.....9..6.8...57...2 ED=11.6/1.2/1.2
.2345.....5.7.9...7.9.3..4.23........7539.2..9.42...........4.....9..6.8...57...2 ED=11.6/1.2/1.2
.2345.....5.7.9...7.9.32.4.23........7539....9.42...........4.....9..6.8...57...2 ED=11.6/1.2/1.2
.2345.....5.7.9.2.7.9.3..4.23........7539....9.42...........4.....9..6.8...57...2 ED=11.6/1.2/1.2
..345.....5.7.9.2.7...32.4.23........7539....9.42......9....4........6.8...57...2 ED=11.6/1.2/1.2
.2345.....5.7.9...7.9.3..4.23........7539.2....42......9....4........6.8...57...2 ED=11.6/1.2/1.2
.2345.....5.7.9.2.7.9.3..4.23........7539......42......9....4........6.8...57...2 ED=11.6/1.2/1.2
.2345.....5.7.9.2.7...3..4.23........75.9.2..9.42.....39....4........6.8...57.... ED=11.6/1.2/1.2
.2345.....5.7.9.2.7.9.3..4.23........75.9.2....42.....39....4........6.8...57.... ED=11.6/1.2/1.2
..345.....5.7.9.2.7.9.32.4.23........75.9.2..9.42.....3.....4.....9..6.8...57.... ED=11.6/1.2/1.2
..345.....5.7.9.2.7.9.32.4.23........75.9.2..9.42...........4..5..9..6.8...57.... ED=11.6/1.2/1.2
.2345.....5.7.9.2.7.9.3..4.23........75.9.2..9.42.....3.....4.....9..6.8...57.... ED=11.6/1.2/1.2
.2345.....5.7.9.2.7.9.3..4.23........75.9.2..9.42...........4..5..9..6.8...57.... ED=11.6/1.2/1.2
..345.....5.7.9.2.7...32.4.23........75.9.2..9.42.....39....4........6.8...57.... ED=11.6/1.2/1.2
..345.....5.7.9.2.7.9.32.4.23........75.9.2....42.....39....4........6.8...57.... ED=11.6/1.2/1.2
..345.....5.7.9.2.7...32.4.23........75.9.2..9.42......9....4..5.....6.8...57.... ED=11.6/1.2/1.2
..345.....5.7.9.2.7.9.32.4.23........75.9.2....42......9....4..5.....6.8...57.... ED=11.6/1.2/1.2
.2345.....5.7.9.2.7...3..4.23........75.9.2..9.42......9....4..5.....6.8...57.... ED=11.6/1.2/1.2
.2345.....5.7.9.2.7.9.3..4.23........75.9.2....42......9....4..5.....6.8...57.... ED=11.6/1.2/1.2
.2345.....5.7.9...7...32.4.23........7539....9.42......9....4........6.8...57...2 ED=11.6/1.2/1.2
.2345.....5.7.9...7.9.32.4.23........7539......42......9....4........6.8...57...2 ED=11.6/1.2/1.2
...45..........2.6.89.7....2.6.1.9...18......97......1.62..1.977.....8.289...761. ED=11.6/1.2/1.2
...45..........2.6.89.7....2.6.1.9...18......97......1.62..1.97..1...8.289...76.. ED=11.6/1.2/1.2
...45...9...1..2.6....7....2.6...9.8.18......97......1.62..1.977.....8.289...761. ED=11.6/1.2/1.2
...45...9......2.6.8..7....2.6.1.9...18......97......1.62..1.977.....8.289...761. ED=11.6/1.2/1.2
...45...9......2.6.8..7....2.6.1.9...18......97......1.62..1.97..1...8.289...76.. ED=11.6/1.2/1.2
1..4.........8.......2..........8.7636...7.5.8....51.35.1...3.767.....18.3....56. ED=11.6/1.2/1.2
1..4.........8.......2..........8.7636...7.5.8....51.35.1.6.3.767.....18.3....5.. ED=11.6/1.2/1.2
.2.45..........2.6..9.7....2.6.1.9...18......97......1.62..1.977.....8.289...761. ED=11.6/1.2/1.2
.2.45...9......2.6....7....2.6.1.9...18......97......1.62..1.977.....8.289...761. ED=11.6/1.2/1.2
.2.45..........2.6..9.7....2.6.1.9...18......97......1.62..1.97..1...8.289...76.. ED=11.6/1.2/1.2
.2.45...9......2.6....7....2.6.1.9...18......97......1.62..1.97..1...8.289...76.. ED=11.6/1.2/1.2
.2......9........1......6....58...6.83...5.7..6732..5.3...7....58.6.2....7253.8.. ED=11.6/1.2/1.2
.2......9........1......6....58...6.83...5.7..6732..5.3...78...58.6.2....7253.... ED=11.6/1.2/1.2
.2......9........1......6....58...6.83..6..7..6732..5.3...7....58.6.2....7253.8.. ED=11.6/1.2/1.2
.2......9........1......6....58...6.83..6..7..6732..5.3...78...58.6.2....7253.... ED=11.6/1.2/1.2
1.34.........8.......2.......5..8.7636...7.5.8.....1.35.1.6.3.767.....18......5.. ED=11.6/1.2/1.2
1............89...69......4....439.8.3..2..47...9.732...429.87.....38.....27.4.3. ED=11.6/1.2/1.2
1............89...69......4....439.8....2..47...9.732.3.429.87.....38.....27.4.3. ED=11.6/1.2/1.2
1............89...69......4....439.8.3.82..47.....732...429.87.....3......27.4.3. ED=11.6/1.2/1.2
1............89...69......4....439.8...82..47.....732.3.429.87.....3......27.4.3. ED=11.6/1.2/1.2
1............89...69...........439.8.3..2..47...9.732...429.87.....38..2..27.4.3. ED=11.6/1.2/1.2
1............89...69...........439.8....2..47...9.732.3.429.87.....38..2..27.4.3. ED=11.6/1.2/1.2
1............89...69...........439.8.3.82..47.....732...429.87.....3...2..27.4.3. ED=11.6/1.2/1.2
1............89...69...........439.8...82..47.....732.3.429.87.....3...2..27.4.3. ED=11.6/1.2/1.2
1............89...69...........439.8.3..2..47...9.732...429.87.....384....27...3. ED=11.6/1.2/1.2
1............89...69...........439.8....2..47...9.732.3.429.87.....384....27...3. ED=11.6/1.2/1.2
1............89...69...........439.8.3.82..47.....732...429.87.....3.4....27...3. ED=11.6/1.2/1.2
1............89...69...........439.8...82..47.....732.3.429.87.....3.4....27...3. ED=11.6/1.2/1.2
.2.4.......678...378..32..4.......4....6.7......8..95.3.2.6....84.3......672.8... ED=11.6/1.2/1.2
.234.......678...378...2..4.......4....6.7......8..95.3.2.6....84.3......672.8... ED=11.6/1.2/1.2
.2.4.6.....6.8...378..32..4.......4....6.7......8..95.3.2....7.84.3......672.8... ED=11.6/1.2/1.2
.234.6.....6.8...378...2..4.......4....6.7......8..95.3.2....7.84.3......672.8... ED=11.6/1.2/1.2
.2.4.6.....6.8...378..32..4.......4....6.7......8..95.3.2......84.37.....672.8... ED=11.6/1.2/1.2
.234.6.....6.8...378...2..4.......4....6.7......8..95.3.2......84.37.....672.8... ED=11.6/1.2/1.2
.2.4.......678...37...32..4..8....4....6.7.........95.3.2.6....84.3......672.8... ED=11.6/1.2/1.2
.2.4.......678...378..32..4..8....4....6.7.........95.3.2.6.....4.3......672.8... ED=11.6/1.2/1.2
.234.......678...37....2..4..8....4....6.7.........95.3.2.6....84.3......672.8... ED=11.6/1.2/1.2
.234.......678...378...2..4..8....4....6.7.........95.3.2.6.....4.3......672.8... ED=11.6/1.2/1.2
.2.4.6.....6.8...37...32..4..8....4....6.7.........95.3.2....7.84.3......672.8... ED=11.6/1.2/1.2
.2.4.6.....6.8...378..32..4..8....4....6.7.........95.3.2....7..4.3......672.8... ED=11.6/1.2/1.2
.234.6.....6.8...37....2..4..8....4....6.7.........95.3.2....7.84.3......672.8... ED=11.6/1.2/1.2
.234.6.....6.8...378...2..4..8....4....6.7.........95.3.2....7..4.3......672.8... ED=11.6/1.2/1.2
.2.4.6.....6.8...37...32..4..8....4....6.7.........95.3.2......84.37.....672.8... ED=11.6/1.2/1.2
.2.4.6.....6.8...378..32..4..8....4....6.7.........95.3.2.......4.37.....672.8... ED=11.6/1.2/1.2
.234.6.....6.8...37....2..4..8....4....6.7.........95.3.2......84.37.....672.8... ED=11.6/1.2/1.2
.234.6.....6.8...378...2..4..8....4....6.7.........95.3.2.......4.37.....672.8... ED=11.6/1.2/1.2
.23.56..9...7.9....7.23.56....3.5.76....672.....92.3.5.4........1.....579........ ED=11.6/1.2/1.2
12..5678..56.8....7..1.2...2.5.67....8721...6.1..........82..9.........5.......3. ED=11.6/1.2/1.2
12..567...5.......7.81.2.6.2.5.67....8721....61...8......82..9.........5.......3. ED=11.6/1.2/1.2
12..567...5..8....7.81.2.6.2.5.67....8721....61..........82..9.........5.......3. ED=11.6/1.2/1.2
..3.56..9...7.9..2.7.23.56....3.5.76....672.....92.3.5.4........1.....579........ ED=11.6/1.2/1.2
...4..7......8...6.9....41.2....3....719.....8...6....3.5.9...2.1....95....5...4. ED=11.6/1.5/1.5
1..........6.......98....45.1.59.3.7.....1.9..3..4751.....759.....9.4.73...13.4.. ED=11.6/1.2/1.2
1..........6.......98....45.1.59.3.7.....1.94.3..4751.....759.....9.4.73...13.... ED=11.6/1.2/1.2
.23...7..45......2..9....4...5...97..47..5.23.9...24.....8.1.5.......39..7..3.... ED=11.6/1.2/1.2
....5678....78...3...1...6......8.315..36.87.8...1.5.6.......17.7..3....9.2....5. ED=11.6/1.2/1.2
....5678....78...3...1...6....5...315..36.87.8...1...6.......17.7..3....9.2....5. ED=11.6/1.2/1.2
..345.....5.7.9.2.7.9.32.4.23........7539......42......9....4........6.8...57...2 ED=11.6/1.2/1.2
...45.......1..2.6..9.7....2.6...9.8.18......97......1.62..1.977.....8.289...761. ED=11.6/1.2/1.2
...45.......1..2.6..9.7....2.6...9.8.18......97......1.62....97..1...8.289...761. ED=11.6/1.2/1.2
...45.......1..2.6..9.7....2.6...9.8.18......97......1.62..1.97..1...8.289...76.. ED=11.6/1.2/1.2
...45.......1..2.6..9.7....2.6.1.9.8.18......97......1.62....97..1...8.289...76.. ED=11.6/1.2/1.2
...45...9...1..2.6....7....2.6...9.8.18......97......1.62....97..1...8.289...761. ED=11.6/1.2/1.2
...45...9...1..2.6....7....2.6...9.8.18......97......1.62..1.97..1...8.289...76.. ED=11.6/1.2/1.2
...45...9...1..2.6....7....2.6.1.9.8.18......97......1.62....97..1...8.289...76.. ED=11.6/1.2/1.2
.2345.....5.7.9...7...3..4.23........7539.2..9.42......9....4........6.8...57...2 ED=11.6/1.2/1.2
.2345.....5.7.9.2.7...3..4.23........7539....9.42......9....4........6.8...57...2 ED=11.6/1.2/1.2
.2.........6..9.....8......2.43....73..5.2.9.5...473.....9.5.73....349.2....7.45. ED=11.6/1.2/1.2
.2.........6..9.....8........43....73..5.2.9.5...47.2....9.5.73....349.2....7.45. ED=11.6/1.2/1.2
.2.........6..9.....8........43....73..5.2.945...47.2..4.9.5.73....349.2....7..5. ED=11.6/1.2/1.2
.2.........6..9.....8........4...3.73...4752.5....2.94.4.9.5.73....349.2....7..5. ED=11.6/1.2/1.2
.2.........6..9.....8........4...3.73...4752.5....2.9....9.5.73....349.2....7.45. ED=11.6/1.2/1.2
.2.........6..9.....8......2.4...3.73...475..5....2.9....9.5.73....349.2....7.45. ED=11.6/1.2/1.2
.2..567...5.78.1....81.2.6.2.5.61....8127....67...8.......2..9.........5.......3. ED=11.6/1.2/1.2
.2..567...5678.1....81.2.6.2.5.61....8127...6.7...8.......2..9.........5.......3. ED=11.6/1.2/1.2
.2..567...5678.1....81.25..2.5.61....8127...6.7...8.......2..9.........5.......3. ED=11.6/1.2/1.2
12..567...5..8.1..7.8..2.6.2.5.67....8721....61...8.......2..9.........5.......3. ED=11.6/1.2/1.2
....5678....78...3...1...6....5...315...1.8.68..36.57........17.7..3....9.2....5. ED=11.6/1.2/1.2
...4.6.8...7.8.2.6...27..45.3.......59..4..........45....82.5.78...67.2....5.486. ED=11.5/1.2/1.2
...4.678...7.8.2.6...2...45.3.......59..4..........45....82.5.78...67.2....5.486. ED=11.5/1.2/1.2
...4.6.8...7.8.2.6...27..45.3.......59..4..........45....52...78...67.2....8.456. ED=11.5/1.2/1.2
...4.678...7.8.2.6...2...45.3.......59..4..........45....52...78...67.2....8.456. ED=11.5/1.2/1.2
...4.6.8...7.8.2.6...27..45.3.......59..4..........45....52.8.78...67.2......456. ED=11.5/1.2/1.2
...4.678...7.8.2.6...2...45.3.......59..4..........45....52.8.78...67.2......456. ED=11.5/1.2/1.2
...45......7.........3....128....31..6....8.77.18...263.6....7.8....31.2.12..863. ED=11.5/1.2/1.2
...45......7.........3....128....31..6....8.7..18...263.6....7.87...31.2.12..863. ED=11.5/1.2/1.2
.23...7..45......2..9...54.......97..47..5.23.9...24.5...8.1......2..39..7..3.... ED=11.5/1.2/1.2
....5678....78...3...1...65.......315..36.87.8...1.5.6..8....17.7..3....9.2...... ED=11.5/1.2/1.2
.2...6...4...8.2...89.........6...5...4.2.9.......1..73..7...6...8.6.3...4...5..1 ED=11.4/11.4/10.5
..345.....5...9.2.7...32.4.23...7....7539.2..9.42.5....9....4........6.8....7.... ED=11.4/1.2/1.2
..345.....5...9.2.7.9.32.4.23...7....7539.2....42.5....9....4........6.8....7.... ED=11.4/1.2/1.2
..345.....5.7.9.2.7...32.4.23........7539.2..9.42.5....9....4........6.8....7.... ED=11.4/1.2/1.2
..345.....5.7.9.2.7.9.32.4.23........7539.2....42.5....9....4........6.8....7.... ED=11.4/1.2/1.2
.2345.....5...9.2.7...3..4.23...7....7539.2..9.42.5....9....4........6.8....7.... ED=11.4/1.2/1.2
.2345.....5...9.2.7.9.3..4.23...7....7539.2....42.5....9....4........6.8....7.... ED=11.4/1.2/1.2
.2345.....5.7.9.2.7...3..4.23........7539.2..9.42.5....9....4........6.8....7.... ED=11.4/1.2/1.2
.2345.....5.7.9.2.7.9.3..4.23........7539.2....42.5....9....4........6.8....7.... ED=11.4/1.2/1.2
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Re: The hardest sudokus (new thread)

Postby Paquita » Thu Jul 25, 2024 5:38 pm

Thank you Denis for the gsf command line, this I can use






Coloin, I have to correct my remark, the result of gridchecker is minimal, I got problems with a larger number of removable clues but I think that is a problem for any program. Gridchecker repeats minimals in the answers, showing the same solution multiple times.
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Posts: 132
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Re: The hardest sudokus (new thread)

Postby ag24ag24 » Tue Jul 30, 2024 9:30 pm

Many thanks for the replies. My solver can already do all 100 of the "unsolvables" available at Andrew Stuart's site, as well as Escargot, so I think I'm ready for ph_2010, but for sure I'm starting at the bottom with the 10.3 cases.

One more question about ph_2010: to what extent (or, by what definition) are the puzzles essentially distinct? I'm a little surprised that some are in maxlex, some in minlex and some in "top row is 123456789" (what is the name for that format?) - but more materially, does every puzzle have an essentially distinct state at its hardest elimination (which I presume is the one that gives rise to its SER)?

And finally, what is the meaning of the asterisk at the end of some lines? The readme doesn't seem to answer this.
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Re: The hardest sudokus (new thread)

Postby Paquita » Wed Jul 31, 2024 3:26 pm

Coloin, I see that you already found those 11.9. I did not have those in my collection yet.
You said there would be a link to the posted and potential high rated, (see Dec 20th 2023) is that link available?
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Re: The hardest sudokus (new thread)

Postby coloin » Wed Jul 31, 2024 8:52 pm

Paquita wrote:Coloin, I see that you already found those 11.9. I did not have those in my collection yet.
You said there would be a link to the posted and potential high rated, (see Dec 20th 2023) is that link available?

Unfortunately, apart from the 11.9s that I found , on the back of following comments from denis and eleven about the value oF SE in these trigadon puzzles .. and in partiular SE 11.8, I didnt think publishing more puzzles contributed much.

I analysed both the minlex puzzles and the minlex solution grid puzzles , and the 11.8 concordance with their respective SE was around 60 %.
The new 11.8 puzzles that I identified were not doubly concordant, and some new twin puzzles quite often were downgraded to 11.7 in one or both morphs...... despite having the same pencil mark status.

On one occaision an 11.8 of hendrik's [may 5th 2024] was upgraded to an 11.9 when rated as the minlexgrid puzzle, but again all the twin puzzles of this were only 11.8. [edit ! this is a mistake]
Code: Select all
........1.....2.34.23........5.67....8623....27.5.8.6..6.......5.8..67..73..258..#11Amin   ED=11.8/1.2/1.2   puzzle 153     
...45..........2.6..9.7....2.6.1.9.8.18......97......1.62..1.97..1...8.289...76..#11Amin   ED=11.9/1.2/1.2   puzzle 153 in minlex solution grid
added
98.76.5..6.5.......74.5....8.9.47..55..68.....679....47.....4.....89..........12.#11Amin   ED=11.8/1.2/1.2   in some maxlex format.


At any rate I concentrated on finding BxB >6 puzzles, although a useful filter for these was SKFR > 11.3 and real SE 11.7.

EDIT
this 11.9 is known, and the expand has other known twin puzzles .... from post Nov 15 2023
Code: Select all
1.3.56....5718..3.68.7.3....618.53.73.5......87.3....15.6.........5..96.......4..## ED=11.9/11.9/3.4    Trio1                                         T&E2   B6B
.2345....45.7.9.2.7.9.32.4.23........7539.2..9.42......9....4.....9..6.8...57....## ED=11.9/11.9/3.4    Trio2                                         T&E2   B6B
...45...9......2.6..9.7....2.6.1.9.8.18......97......1.62..1.977.1...8.289...761.## ED=11.9/11.9/3.4    Trio3  new twin max-expand                    T&E2   B6B
                                                           
Minimal puzzles                                                                                                                                   
1.3.56.....718....68.7.3....618.53.73.5......87.3....15.6.........5..96.......4..## ED=11.9/1.2/1.2     Trio11                  29c     TE2   B6B
1.3.56.....718..3.68.7.3....618.5..73.5......87.3....15.6.........5..96.......4..## ED=11.9/1.2/1.2     Trio12                  29c     TE2   B6B
.2345.....5.7.9.2.7.9.3..4.23........7539.2....42......9....4........6.8...57....## ED=11.9/1.2/1.2     Trio21                  27c     TE2   B6B
.2345.....5.7.9.2.7...3..4.23........7539.2..9.42......9....4........6.8...57....## ED=11.9/1.2/1.2     Trio22                  27c     TE2   B6B
..345.....5.7.9.2.7.9.32.4.23........7539.2....42......9....4........6.8...57....## ED=11.9/1.2/1.2     Trio23                  27c     TE2   B6B
..345.....5.7.9.2.7...32.4.23........7539.2..9.42......9....4........6.8...57....## ED=11.9/1.2/1.2     Trio24                  27c     TE2   B6B
.2345.....5.7.9.2.7.9.3..4.23........7539.2..9.42...........4.....9..6.8...57....## ED=11.9/1.2/1.2     Trio25                  28c     TE2   B6B
..345.....5.7.9.2.7.9.32.4.23........7539.2..9.42...........4.....9..6.8...57....## ED=11.9/1.2/1.2     Trio26                  28c     TE2   B6B
...45...9......2.6....7....2.6.1.9.8.18......97......1.62..1.97..1...8.289...76..## ED=11.9/1.2/1.2     Trio31 new to thread    28c     TE2   B6B
...45..........2.6..9.7....2.6.1.9.8.18......97......1.62..1.97..1...8.289...76..## ED=11.9/1.2/1.2     Trio32 new to thread    28c     TE2   B6B
...45...9......2.6....7....2.6.1.9.8.18......97......1.62..1.977.....8.289...761.## ED=11.9/1.2/1.2     Trio33 new to thread    29c     TE2   B6B
...45..........2.6..9.7....2.6.1.9.8.18......97......1.62..1.977.....8.289...761.## ED=11.9/1.2/1.2     Trio34 new to thread    29c     TE2   B6B
Last edited by coloin on Tue Aug 20, 2024 1:12 pm, edited 1 time in total.
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Re: The hardest sudokus (new thread)

Postby coloin » Thu Aug 01, 2024 1:42 pm

In any case I have to agree with eleven, in that a puzzle which has the Tridagon , has its difficulty downgraded by using the technique, which SE and BxB dont account for.
However there seems to be a gap in the 11.8s in terms of number of clues.
There remains the possibility that a puzzle could be found [ but not easily] which has 24-25 clues and has the tridagon but not initially completable with singles.
eg this sort of puzzle construction
Code: Select all
+---+---+---+
|76.|.95|4..|
|9.8|4.7|...|
|.45|86.|...|
+---+---+---+
|.89|67.|..5|
|5.6|...|...|
|47.|5..|...|
+---+---+---+
|..7|...|...|
|...|9..|..3|
|...|...|.21|
+---+---+---+   28 clues [multisolution] but remove 3 or 4 clues  from boxes 1,2 and 4.

+---+---+---+
|76.|.95|4..|
|9.8|4.7|.5.|
|.45|86.|...|
+---+---+---+
|.89|67.|...|
|5.6|...|..7|
|47.|5..|...|
+---+---+---+
|..7|...|...|
|.9.|...|.2.|
|...|..4|..1|
+---+---+---+  29 clues [multisolution] but remove  4 or 5 clues  from boxes 1,2 and 4.

Code: Select all
+---+---+---+
|..1|2..|..3|
|.3.|.1.|2..|
|2..|..3|.1.|
+---+---+---+
|1..|3..|..2|
|.2.|...|13.|
|..3|1.2|...|
+---+---+---+
|...|.21|3..|
|.12|.3.|...|
|3..|...|.21|
+---+---+---+    3 template which solves with 2 clues and boxes 1,2 and 4 are in diagonal clue pattern [compatible with tridadon]

+---+---+---+
|89.|.74|56.|
|5.4|6.8|.79|
|.76|95.|4.8|
+---+---+---+
|.47|.85|69.|
|9.8|746|..5|
|65.|.9.|847|
+---+---+---+
|769|5..|.84|
|4..|8.9|756|
|.85|467|921|
+---+---+---+    in box 9,   1 and 2 are obligatory - as no other 1s or 2s of the template in the valid puzzle
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Location: Devon

Re: The hardest sudokus (new thread)

Postby Paquita » Mon Aug 19, 2024 1:03 pm

Some puzzles, all rated 11.8/1.2/1.2 in solution minlex. I am yet doing a check if there are any T&E(3) or higher BxB there but I think not, those will be published separate.
Hidden Text: Show
...4.6.....6..9.2.7...1.....1..3.4....96...5.8.......7.3......8..2..49.....5...4.
1.....78..5......6......41..3.5.......69.3...9...74.......481....23.....8...9..7.
..34......5..89...78...2...2....5..7...6..41....9....5.......6.8...9...2..1...3..
12....7...57..926.6.9.....52.6...17..9....5.2..57...9.....41.......3..........6.1
12....7.9.57..926.6.......52.6...17..9....5.2..57...9.....41.......3..........6.1
........9...18.....8....1.5.78..1...3.684.....4.3.7.6..617..3..73...4...8.463....
........9...18.....8....1.5.78.61...3..84.....4.3.7.6..617..3..73...4...8.463....
........9...18.....8....1.5.78..1...3.6.4.....4.3.7.6..617.83..73...4.....463....
........9...18.....8....1.5.78.61...3...4.....4.3.7.6..617.83..73...4.....463....
.2..5.7...56.....37....3...2...3...63...7...5.4.9.....5...2.6.7..2....1......8...
1....678.....8..366..3.75.1..183..5....7.18......651.3.......7..42........65.....
1...5678.....8..366..3.75.1..183..5....7.18......6.1.3.......7..42........65.....
1...5678.....8..366..3.75.1..183..5....7.18......651.3.......7..42.....5..6......
..3...78..571...3686.7..1.5....94...6...7...........5.3.8.1..6.51......3.76...8.1
..3...78..571...3686.7..1.5....946......7...........5.3.8.1..6.51......3.76...8.1
.....678....18..63...3.75.1...7.38.57..86..3..3..15..6...5.1....4........91....5.
1.3.5..8.45...9....893..4.....5...7151..............6.3..9.4....9183....84..15...
1.3.5..8.45..89.....93..4.....5...7151..............6.3..9.4....9183....84..15...
1.3.5..8.4....9....893..4.....5...7151..............6.3.59.4....9.83....84..15...
1.3.5..8.4...89.....93..4.....5...7151..............6.3.59.4....9.83....84..15...
1.3.5....45..89....893..4.....5...7151..............6.3..9.4..8.9183....84..15...
1.3.5....4...89....893..4.....5...7151..............6.3.59.4..8.9.83....84..15...
..345.....5.7.9.2.7.9.32.4.23........7539.2..9.42...........4.....9..6.8...57....
.2345.....5.7.9.2.7.9.3..4.23........7539.2..9.42...........4.....9..6.8...57....
..345.....5.7.9.2.7...32.4.23........7539.2..9.42......9....4........6.8...57....
..345.....5.7.9.2.7.9.32.4.23........7539.2....42......9....4........6.8...57....
.2345.....5.7.9.2.7...3..4.23........7539.2..9.42......9....4........6.8...57....
.2345.....5.7.9.2.7.9.3..4.23........7539.2....42......9....4........6.8...57....
....5.7.9.......2.7..2..6.52.5.7..9.68.92..5...1..8...........45...9..7....3.....
....5.7.9.5.....2.7..2..6..2...7..9.68.92..5...1..8...........45...9..7....3.....
1....678..5......668.7.2.15...57......5.68..2.782.1.5...........91.......3.....27
1...5678.........668.7.2.15...57......5.68..2.782.1.5...........91.......3.....27
1....678..5......668.7.2.15...57......5.68..2..82.16............91.......3.....27
1...5678.........668.7.2.15...57......5.68..2..82.16............91.......3.....27
1....6.8..5....2.668.7...15...57......5.68.72.782.1.5...........91.2.....3.....27
1....678..5....2.668.7...15...57......5.68..2.782.1.5...........91.2.....3.....27
1...56.8.......2.668.7...15...57......5.68.72.782.1.5...........91.2.....3.....27
1...5678.......2.668.7...15...57......5.68..2.782.1.5...........91.2.....3.....27
1....6.8..5....2.668.7...15...57......5.68.72..82.16............91.2.....3.....27
1....678..5......668.7.2.15...57......5.68..2.78..1.5...........91.2.....3.....27
1....678..5....2.668.7...15...57......5.68..2..82.16............91.2.....3.....27
1...56.8.......2.668.7...15...57......5.68.72..82.16............91.2.....3.....27
1...5678.........668.7.2.15...57......5.68..2.78..1.5...........91.2.....3.....27
1...5678.......2.668.7...15...57......5.68..2..82.16............91.2.....3.....27
1....678..5......668.7.2.15...57......5.68..2..8..16............91.2.....3.....27
1...5678.........668.7.2.15...57......5.68..2..8..16............91.2.....3.....27
1....678..5......668.7.2.15...57......5.68.2..782.1.5...........91.......3.....72
1....678..5......668.7.2.15...57......5.68.2..782.16............91.......3.....72
1...5678.........668.7.2.15...57......5.68.2..782.1.5...........91.......3.....72
1...5678.........668.7.2.15...57......5.68.2..782.16............91.......3.....72
1....6.8..5....2.668.7...15...57......5.68.27.782.1.5...........91.2.....3.....72
1....678..5....2.668.7...15...57......5.68.2..782.1.5...........91.2.....3.....72
1....678..5....2.668.7...15...57......5.68.2..782.16............91.2.....3.....72
1...56.8.......2.668.7...15...57......5.68.27.782.1.5...........91.2.....3.....72
1...5678.......2.668.7...15...57......5.68.2..782.1.5...........91.2.....3.....72
1...5678.......2.668.7...15...57......5.68.2..782.16............91.2.....3.....72
1....6.8..5....2.668.7...15...57......5.68.27..82.16............91.2.....3.....72
1....678..5......668.7.2.15...57......5.68.2..78..1.5...........91.2.....3.....72
1....678..5......668.7.2.15...57......5.68.2..78..16............91.2.....3.....72
1...56.8.......2.668.7...15...57......5.68.27..82.16............91.2.....3.....72
1...5678.........668.7.2.15...57......5.68.2..78..1.5...........91.2.....3.....72
1...5678.........668.7.2.15...57......5.68.2..78..16............91.2.....3.....72
..3.56..9...7.9..2..923.56....3.5.76....672.....92.3.5.4........1.....579........
1..........6........8....4..1.39...7.3.5...1..75.4..9.....759.....9.4.73...13.45.
1..........6........8....4..1.39...7.3.5...14.75.4..9.....759.....9.4.73...13..5.
1..........6........8....4..1.39.5...3.5.7.1..7..4..9.....759.....9.4.73...13.45.
1..........6........8....4..1.39.5...3.5.7.14.7..4..9.....759.....9.4.73...13..5.
1..........6........8....4..1.39.5.7.3.5...1..7..4..9.....759.....9.4.73...13.45.
1..........6........8....4..1.39.5.7.3.5...14.7..4..9.....759.....9.4.73...13..5.
1..........6........8....4..1.39...7.3.5...1..75.4..9.....7.9..5..9.4.73...13.45.
1..........6........8....4..1.39...7.3.5...14.75.4..9.....7.9..5..9.4.73...13..5.
1..........6........8....4..1.39.5...3.5.7.1..7..4..9.....7.9..5..9.4.73...13.45.
1..........6........8....4..1.39.5...3.5.7.14.7..4..9.....7.9..5..9.4.73...13..5.
1..........6........8....4..1.39.5.7.3.5...1..7..4..9.....7.9..5..9.4.73...13.45.
1..........6........8....4..1.39.5.7.3.5...14.7..4..9.....7.9..5..9.4.73...13..5.
1..........6........8....4..1.5....3.3.9.4.17.79..1.5.....975.....14.39....3.5.74
1..........6........8....4..1.5....3.3.9.4.17.79.3..5.....975.....14.39....3.5.74
1..........6........8....4..1.5..9.3.3...4.17.79..1.5.....975.....14.39....3.5.74
1..........6........8....4..1.5..9.3.3...4.17.79.3..5.....975.....14.39....3.5.74
1..........6........8....4..1.5..9.3.3.9.4.17.7...1.5.....975.....14.39....3.5.74
1..........6........8....4..1.5..9.3.3.9.4.17.7..3..5.....975.....14.39....3.5.74
1..........6........8....4..1.53...7.7.9.4.1..39.7..5.....975.....14.39....3.5.74
1..........6........8....4..1.53.9...7...4.1..39.7..5.....975.....14.39....3.5.74
1..........6........8....4..1.53.9...7.9.4.1..3..7..5.....975.....14.39....3.5.74
1..4....94...892.1.....25.....59.1.4..12.895.....1..28..4...8.......5....37......
1..4...894...892.1.....25.....59.1.4..12.895.....1..2...4...8.......5....37......
1.3.56....567.....78.1.3..5.35..7...61...83..8.73...1..68.........8..9.6......2..
1.3.56....5678....78.1.3..5.35..7...61....3..8.73...1..68.........8..9.6......2..
1.3.56....5678....78.1.3..5.35..7...61...83..8.73...1..68............9.6......2..
1..........6........8....4..1.5....3.3.9.4.17.79..1.5......75.....14.39.9..3.5.74
1..........6........8....4..1.5....3.3.9.4.17.79.3..5......75.....14.39.9..3.5.74
1..........6........8....4..1.5..9.3.3.9.4.17.7...1.5......75.....14.39.9..3.5.74
1..........6........8....4..1.5..9.3.3.9.4.17.7..3..5......75.....14.39.9..3.5.74
1..........6........8....4..1.53...7.7.9.4.1..39.7..5......75.....14.39.9..3.5.74
1..........6........8....4..1.53.9...7.9.4.1..3..7..5......75.....14.39.9..3.5.74
1.3.56....5678....78.1.3..5.35..1...67...83..8.13...7..68............9.6......2..
1....67......8.2.66..2.7.51...8.1.7...172.5.8....65.12.34........65...........8..
1....678.....8.2.66..2.7.51...8.1.7...172.5......65.12.34........65...........8..
1...567......8.2.66..2.7.51...8.1.7...172.5.8....6..12.34........65...........8..
1...5678.....8.2.66..2.7.51...8.1.7...172.5......6..12.34........65...........8..
1...567.......926.6..27..15...91...7..17.259.....65.21.34............9....65.....
1...567.9.....926.6..27..15...91...7..17.25......65.21.34............9....65.....
12...6.8.........668.7.2.15...57......5.68.7..782.1.5...........91.......3.....27
12...678.........668.7.2.15...57......5.68....782.1.5...........91.......3.....27
12...6.8.........668.7.2.15...57......5.68.7...82.16............91.......3.....27
12...678.........668.7.2.15...57......5.68.....82.16............91.......3.....27
12...6.8.........668.7.2.15...57......5.68.72.78..1.5...........91.2.....3.....27
12...6.8.......2.668.7...15...57......5.68.7..782.1.5...........91.2.....3.....27
12...6.8.......2.668.7...15...57......5.68.72.78..1.5...........91.2.....3.....27
12...678.........668.7.2.15...57......5.68..2.78..1.5...........91.2.....3.....27
12...678.......2.668.7...15...57......5.68....782.1.5...........91.2.....3.....27
12...678.......2.668.7...15...57......5.68..2.78..1.5...........91.2.....3.....27
12...6.8.........668.7.2.15...57......5.68.72..8..16............91.2.....3.....27
12...6.8.......2.668.7...15...57......5.68.7...82.16............91.2.....3.....27
12...6.8.......2.668.7...15...57......5.68.72..8..16............91.2.....3.....27
12...678.........668.7.2.15...57......5.68..2..8..16............91.2.....3.....27
12...678.......2.668.7...15...57......5.68.....82.16............91.2.....3.....27
12...678.......2.668.7...15...57......5.68..2..8..16............91.2.....3.....27
12...6.8.........668.7.2.15...57......5.68.27.782.1.5...........91.......3.....72
12...6.8.......2.668.7.2.15...57......5.68..7.782.1.5...........91.......3.....72
12...678.........668.7.2.15...57......5.68.2..782.1.5...........91.......3.....72
12...678.........668.7.2.15...57......5.68.2..782.16............91.......3.....72
12...678.......2.668.7.2.15...57......5.68....782.1.5...........91.......3.....72
12...678.......2.668.7.2.15...57......5.68....782.16............91.......3.....72
12...6.8.........668.7.2.15...57......5.68.27..82.16............91.......3.....72
12...6.8.......2.668.7.2.15...57......5.68..7..82.16............91.......3.....72
12...6.8.........668.7.2.15...57......5.68.27.78..1.5...........91.2.....3.....72
12...6.8.......2.668.7...15...57......5.68..7.782.1.5...........91.2.....3.....72
12...6.8.......2.668.7...15...57......5.68.27.78..1.5...........91.2.....3.....72
12...678.........668.7.2.15...57......5.68.2..78..1.5...........91.2.....3.....72
12...678.........668.7.2.15...57......5.68.2..78..16............91.2.....3.....72
12...678.......2.668.7...15...57......5.68....782.1.5...........91.2.....3.....72
12...678.......2.668.7...15...57......5.68....782.16............91.2.....3.....72
12...678.......2.668.7...15...57......5.68.2..78..1.5...........91.2.....3.....72
12...678.......2.668.7...15...57......5.68.2..78..16............91.2.....3.....72
12...6.8.........668.7.2.15...57......5.68.27..8..16............91.2.....3.....72
12...6.8.......2.668.7...15...57......5.68..7..82.16............91.2.....3.....72
12...6.8.......2.668.7...15...57......5.68.27..8..16............91.2.....3.....72
...4.........89.........51424....36...5.6..42.36...1.53.2......51....62..64....53
...4.....4...89.........51.2.....36...5.6..42.36...1.53.2......51....62..64....53
.2.4...89....8923..9...34......958.3..532..94.....452........585.6........1......
.2.4...89....8923..9...34.5....9.8.3..532..94.....4.2........585.6........15.....
.2.4...89....8923..9...34.5....958.3..532..94.....4.2.........85.6........15.....
.2.4...89....8923..9...34.5....958.3..532..94.....4.2........585.6........1......
.2.4...89.5..8923..9...34......9.8.3..532..94.....452........58..6........15.....
.2.4...89.5..8923..9...34......958.3...32..94.....452.........85.6........15.....
.2.4...89.5..8923..9...34......958.3...32..94.....452........58..6........15.....
.2.4...89.5..8923..9...34......958.3...32..94.....452........585.6........1......
.2.4...89.5..8923..9...34.5....9.8.3..532..94.....4.2........58..6........15.....
.2.45..89....8923..9...34......9.8.3..532..94.....4.2........585.6........15.....
.2.45..89....8923..9...34......958.3..532..94.....4.2........585.6........1......
.2.45..89....8923..9...34.5....9.8.3..532..94.....4.2.........85.6........15.....
.2.45..89.5..8923..9...34......9.8.3..532..94.....4.2........58..6........15.....
.2.4...89....8923..9...34......9.8.3..532..94.....452.........85.6........15.....
.2.4...8..5..8923......34.5....958.3...32..54.....492........98..1......9.6......
.2.4...89.5..8.23......34.5....958.3...32..54.....492.........8..19.....9.6......
.2.45..8..5..8923......34......958.3...32..54.....492........98..1......9.6......
.2.45..89.5..8.23......34......958.3...32..54.....492.........8..19.....9.6......
.2.4...8..5..8923......34.5.....58.3...32..54.....492.........8..19.....9.6......
.2.45..8..5..8923......34.......58.3...32..54.....492.........8..19.....9.6......
.2..........1.9....89...1.....39..5.3....46...4.6.5.1..3...1.64..4...59...65..3.1
.2..........1.9....89...1.....39.45.3....46.....6.5.1..3...1.6...4...59...654.3.1
.2..........1.9....89...1.....39.45.3....46.....6.5.1..3...1.64..4...59...65..3.1
.2..........1.9....89...1.....39..5.3...146...4.6.5....3.....64..4...59...65..3.1
.2..........1.9....89...1.....39.45.3...146.....6.5....3.....6...4...59...654.3.1
.2..........1.9....89...1.....39.45.3...146.....6.5....3.....64..4...59...65..3.1
1.3.5...9.5.1....669.73...5.......43......8..7.......1.7.6......6139....9.5..1...
1.3.5...9.5.1....669.73...5.......43......8..7.......1.7.6.5....6139....9....1...
1.3.5...9.5.1....669.73...5.......43......8..7.......137.6......6139......5..1...
..3..6......1...3.9...7...42.....8...4..9...7..5....6........1..7..2...88.....4.2
1...567....718....68.3.75.........4.36....8.7........251..3....7.8.65....368.1..5
1...567...5.18....68.3.75.........4.36....8.7........251..3....7.8.65....368.1..5
....567....718....68.3.75.........4.361...8.7........251..3....7.8.65....368....5
....567...5.18....68.3.75.........4.361...8.7........251..3....7.8.65....368....5
.234..7..4.7..9.3.69.......26....3......6.85...........7.24.....46.93...9..6.7..3
.234..7..4.7..9.3.69.......26....3......6.85..........37.24.....46.93...9..6.7...
.234.67..4.7..9.3..9.......26....3......6.85...........7.24.....46.93...9....7..3
.234.67..4.7..9.3..9.......26....3......6.85..........37.24.....46.93...9....7...
12..5..........2.66...3....2.....8.7.8......4.7....16.76..24...8.4..1..2.1...8.7.
.....6...4...8923.9.832...4.8.6..9.3.....28...4.8...625.1.4................963...
12..5..........2.66...3....2.....8.7.8.....24.7....16.76..24...8.4..1....1...8.7.
1.3.56.....718....68.7.3....618.53.73.5......87.3....15.6.........5..96.......4..
1.3.56.....718..3.68.7.3....618.5..73.5......87.3....15.6.........5..96.......4..
...4...8.4..18.2.6....2314..1.3.48...3...8......26.3.13........5.9...4........6.2
...4...8.4..18.2.6....231...1.3.48...3...8..4...26.3.13........5.9...4........6.2
12...678.......2.66......1528..7.6....5...8.1..6....27....1....5..34.1..87...5...
12...678.......2.66......1528..7.6..7.5...8.1..6....2.....1....5..34.1..87...5...
12...678.......2.66......1528..7.6....5...8.1..6....27....1....5..34....871..5...
12...678.......2.66......1528..7.6..7.5...8.1..6....2.....1....5..34....871..5...
...45..8........3.........62.18.4.....59.....94..1..2..945.82..5.21..8..81..92...
.234.....4.678....78...2...2.46......6.8.4..7..8.23.........6.........51...367...
.234.....4.6.8....78...2...2.46......6.8.4..7.78.23.........6.........51...367...
.234.....4.6.8....78...2...2.467.....6.8.4..7..8.23.........6.........51...367...
.234.....4.678....78...2...2.46........8.4..7..8.23.........6..6......51...3.7...
.234.....4.6.8....78...2...2.46........8.4..7.78.23.........6..6......51...3.7...
.234.....4.6.8....78...2...2.467.......8.4..7..8.23.........6..6......51...3.7...
.2.4.6...4...89....8912....2.4.6...1.98..2...61.8.4.........6.........57961......
.2.4.6...4...89....8912....2.4.6...1.98.12...6..8.4.........6.........57961......
12.4.6...4...89....8912....2.4.6...1.98..2...6..8.4.........6.........57961......
.2.4.6...4...89....8912......4.6...1.98..2...61.8.4.........6....2....57961......
.2.4.6...4...89....8912......4.6...1.98.12...6..8.4.........6....2....57961......
12.4.6...4...89....8912......4.6...1.98..2...6..8.4.........6....2....57961......
.2.4.6...4...89....8912....2.4.....1.98..2...61.8.4.........6.....6...579.1......
.2.4.6...4...89....8912....2.4.....1.98.12...6..8.4.........6.....6...579.1......
12.4.6...4...89....8912....2.4.....1.98..2...6..8.4.........6.....6...579.1......
.2.4.6...4...89....8912......4.....1.98..2...61.8.4.........6....26...579.1......
.2.4.6...4...89....8912......4.....1.98.12...6..8.4.........6....26...579.1......
12.4.6...4...89....8912......4.....1.98..2...6..8.4.........6....26...579.1......
..3....89...78..........64..18..7...5.71.....93.8.5....9.....1..715.3.9.8.591....
..3....89...78..........64..18..7...5.71.....93...5....9...8.1..715.3.9.8.591....
..3....89...78..........64..18......5.71.....93.8.5....9..7..1..715.3.9.8.591....
..3....89...78..........64..18......5.71.....93...5....9..78.1..715.3.9.8.591....
..3....89...7......8....64..1...7...5.71.....93.8.5....9...8.1..715.3.9.8.591....
..3....89...78.....8....64..1...7...5.71.....93.8.5....9.....1..715.3.9.8.591....
..3....89...7......8....64..1.......5.71.....93.8.5....9..78.1..715.3.9.8.591....
..3....89...78.....8....64..1.......5.71.....93.8.5....9..7..1..715.3.9.8.591....
..3....89...7......8....64..18..7...5.71.....93...5....9...8.1..715.3.9.8.591....
..3....89...7......8....64..18......5.71.....93...5....9..78.1..715.3.9.8.591....
..3....89...78..........64..18..7...39.8.5...5.71......715.3.9.8.591....93.....1.
..3....89...78..........64..18..7...39...5...5.71......715.3.9.8.591....93...8.1.
..3....89...78..........64..18......39.8.5...5.71......715.3.9.8.591....93..7..1.
..3....89...78..........64..18......39...5...5.71......715.3.9.8.591....93..78.1.
..3....89...7......8....64..1...7...39.8.5...5.71......715.3.9.8.591....93...8.1.
..3....89...78.....8....64..1...7...39.8.5...5.71......715.3.9.8.591....93.....1.
..3....89...7......8....64..1.......39.8.5...5.71......715.3.9.8.591....93..78.1.
..3....89...78.....8....64..1.......39.8.5...5.71......715.3.9.8.591....93..7..1.
..3....89...7......8....64..18..7...39...5...5.71......715.3.9.8.591....93...8.1.
..3....89...7......8....64..18......39...5...5.71......715.3.9.8.591....93..78.1.
1......89.....9..........4.2..71.5..73..9......5..3...39.52...75.1.37..2..29.1.5.
1......89.....9..........4.2..71.5..73..95........3...39..2...75.1.37..2..29.1.5.
1......89.....9..........4.2..71.5..73..9......5..3...39.52...75.1.3...2.7.9.1.5.
1......89.....9..........4.2..71.5..73..95........3...39..2...75.1.3...2.7.9.1.5.
.234.....4.6.8....78...2...2.467.....6...4..7..8.23.........6.......8.51...367...
.234.....4.6.8....78...2...2.46......6...4..7.78.23.........6.......8.51...367...
.234.....4.678....78...2...2.46......6...4..7..8.23.........6.......8.51...367...
.234.....4.6.8....78...2...2.467.........4..7..8.23.........6..6....8.51...3.7...
.234.....4.6.8....78...2...2.46..........4..7.78.23.........6..6....8.51...3.7...
.234.....4.678....78...2...2.46..........4..7..8.23.........6..6....8.51...3.7...
1.34.......7.89.........4.....7.489..7.69..2.....286.7.....7..2..6.429.8...86..4.
1.34.......7.89.........4.....7..89..7.69..24....286.7.....7..2..6.429.8...86....
1.34.......7.89.........4.....7.489..7.6...2.....286.7...9.7..2..6.429.8....6..4.
1.34.......7.89.........4.....7..89..7.6...24....286.7...9.7..2..6.429.8....6....
1.34...8...7..9.........4.......489..7.69..2.....286.7.....7..2..6.429.....86..4.
1.34...8...7..9.........4.......489..7.6...2.....286.7...9.7..2..6.429.....86..4.
1.34...8...7..9.........4........89..7.69..24....286.7.....7..2..6.429.....86....
1.34...8...7..9.........4........89..7.6...24....286.7...9.7..2..6.429.....86....
1.34...8...7.89.........4.......489..7.6...2.....286.7...9.7..2..6.429.8....6..4.
1.34...8...7.89.........4........89..7.6...24....286.7...9.7..2..6.429.8....6....
.234.....4.6.8....78..23...2.437.....3.8.4..7..8.62..........51......3.....637...
.234.....4.6.8....78..23...2.43......3.8.4..7.78.62..........51......3.....637...
.234.....4.678....78..23...2.43......3.8.4..7..8.62..........51......3.....637...
.234.....4.6.8....78..23...2.437.....3...4..7..8.62........8.51......3.....637...
.234.....4.6.8....78..23...2.43......3...4..7.78.62........8.51......3.....637...
.234.....4.678....78..23...2.43......3...4..7..8.62........8.51......3.....637...
.2.4.....4.6.8....78..23...2.437.....3.8.4..7..8.62...3......51......3.....6.7...
.2.4.....4.6.8....78..23...2.43......3.8.4..7.78.62...3......51......3.....6.7...
.2.4.....4.678....78..23...2.43......3.8.4..7..8.62...3......51......3.....6.7...
.234.....4.6.8....78..23...2.437.......8.4..7..8.62...3......51......3.....6.7...
.234.....4.6.8....78..23...2.43........8.4..7.78.62...3......51......3.....6.7...
.234.....4.678....78..23...2.43........8.4..7..8.62...3......51......3.....6.7...
.2.4.....4.6.8....78..23...2.437.....3...4..7..8.62...3....8.51......3.....6.7...
.2.4.....4.6.8....78..23...2.43......3...4..7.78.62...3....8.51......3.....6.7...
.2.4.....4.678....78..23...2.43......3...4..7..8.62...3....8.51......3.....6.7...
.234.....4.6.8....78..23...2.437.........4..7..8.62...3....8.51......3.....6.7...
.234.....4.6.8....78..23...2.43..........4..7.78.62...3....8.51......3.....6.7...
.234.....4.678....78..23...2.43..........4..7..8.62...3....8.51......3.....6.7...
1......89.....9..........4.2..71.5..73..9.....15..3...39.52..175...37..2..29...5.
1......89.....9..........4.2..71.5..73..9......5..3...39.52..175.1.37..2..29...5.
1......89.....9..........4.2..71.5..73..95....1...3...39..2..175...37..2..29...5.
1......89.....9..........4.2..71.5..73..95........3...39..2..175.1.37..2..29...5.
1......89.....9..........4.2..71.5..73..9.....15..3...39.52..175...3...2.7.9...5.
1......89.....9..........4.2..71.5..73..9......5..3...39.52..175.1.3...2.7.9...5.
1......89.....9..........4.2..71.5..73..95....1...3...39..2..175...3...2.7.9...5.
1......89.....9..........4.2..71.5..73..95........3...39..2..175.1.3...2.7.9...5.
1.34.......7.89....8....4......986.7.7.62.........482......7..2..6.429.8....6..4.
1.34.......7.89....8....4......986.7.7.62...4......82......7..2..6.429.8....6....
.2345...945...92.36........2..6.5.9...592........34.2.364.......9....1.8.........
.2345...945...92.36........2..6.5.9...5.2....9...34.2.364.......9....1.8.........
1......89.....92.........4.23..9....7..21.5....53.....39.57...25.1.23..7.....1.5.
1......89.....92.........4.23..95...7..21.5.....3.....39..7...25.1.23..7.....1.5.
1.34.6.....7.89.........4.....7.489..7..9..2.....286.7.....7.62..6.429.8...8...4.
1.34.6.....7.89.........4.....7.489..7..9..2.....286.7.....7..2..6.429.8...86..4.
1.34.6.....7.89.........4.....7..89..7..9..24....286.7.....7.62..6.429.8...8.....
1.34.6.....7.89.........4.....7..89..7..9..24....286.7.....7..2..6.429.8...86....
1.34.6.....7.89.........4.....7.489..7.....2.....286.7...9.7.62..6.429.8.......4.
1.34.6.....7.89.........4.....7.489..7.....2.....286.7...9.7..2..6.429.8....6..4.
1.34.6.....7.89.........4.....7..89..7.....24....286.7...9.7.62..6.429.8.........
1.34.6.....7.89.........4.....7..89..7.....24....286.7...9.7..2..6.429.8....6....
1......89...1.9..........4.23..95...7..21.5.....3.7.2.39......25.1.23..7.7...1.5.
1......89...1.9..........4.23..95...7..2..5...1.3.7.2.39......25.1.23..7.7...1.5.
1......89...1.9..........4..3..95...7..21.5.....3.7.2.39......25.1..3..7.72..1.5.
1......89...1.9..........4..3..95...7..2..5...1.3.7.2.39......25.1..3..7.72..1.5.
1......89...1.9..........4.23..95...7..21.5.....3.7...39......25.1.23..7.7.9.1.5.
1......89...1.9..........4.23..95...7..2..5...1.3.7...39......25.1.23..7.7.9.1.5.
1......89...1.9..........4.23..95...7..21.5.....3.7...39......25.1..3..7.729.1.5.
1......89...1.9..........4.23..95...7..2..5...1.3.7...39......25.1..3..7.729.1.5.
...4.........89.237..1.......8.....75.789..329......5.3.2..5.98.......7..7.9.3..5
...4.........89.237..1.......8...9.75.78...329......5.3.2..5.98.......7..7.9.3..5
1...567.9.....926.6..27...1...91...5.1.5.792.....62.17.34............5...6.7.....
1...567.9.....926.6..27..51...91.....1.5.792.....62.17.34............5...6.7.....
1...56..9.....926.6..27...1...91...5.1.5.792.....62.17.34....7.......5...6.......
1...56..9.....926.6..27..51...91.....1.5.792.....62.17.34....7.......5...6.......
1...567.9.....926.6..27...1...91...5.1.5.792.....62.1..34....7.......5...6.......
...4.........89.237..1.......8.....75.7.9..329.....85.3.2..5.9......8.7.87.9.3..5
...4.........89.237..1.......8.....75.789..329.....85.3.2..5.9........7.87.9.3..5
...4.........89.237..1.......8...9.75.7....329.....85.3.2..5.9......8.7.87.9.3..5
...4.........89.237..1.......8...9.75.78...329.....85.3.2..5.9........7.87.9.3..5
...4.........89.237..1.......8.....75.7.9..329.....85.3.2..5.98.......7..7.9.3..5
...4.........89.237..1.......8...9.75.7....329.....85.3.2..5.98.......7..7.9.3..5
.23...78.4.6..9.2..9........3.5.8.7....29.....8..732.5.......5.....2789....9.53..
.23...78.4.6..9.2..9...2....3.5.8.7.....9.....8..732.5.......5.....2789....9.53..
.23...7894.6....2..9........3.5.8.7....29.....8..732.5.......5.....2789....9.53..
.23...7894.6....2..9...2....3.5.8.7.....9.....8..732.5.......5.....2789....9.53..
.23...78.4.6....2..9........3.5.897....29.....8..732.5.......5.....278.....9.53..
.23...78.4.6....2..9...2....3.5.897.....9.....8..732.5.......5.....278.....9.53..
.23...78.4.6..9.2..9........3.5.897....2......8..732.5.......5.....278.....9.53..
.23...78.4.6..9.2..9...2....3.5.897...........8..732.5.......5.....278.....9.53..
....5...9..71...3.6..2.3...2..6...7..4....8......9...53.2....1.....2.....8...14..
...45.........92.3...7.2...2.....5.18.5...93..31.....83.29.....58...1....19..83.5
...45.........92.3...7.2...2.....5.18.5...93..31.....83.29.5....8...1....19..83.5
...45.........92.3...7.2...2.....5.18.5...93..315....83.29......8...1....19..83.5
12.....8.4.6.........13....2....589....29..519...183.2...5.12.8.....391....9...35
12.....8.4.6.........13....2..3.589....29..519...183.2...5.12.8......91....9...35
12.....8.4.6...1......3....2....589....29..519...183.2...5.12.8.....39.....9...35
12.....8.4.6...1......3....2..3.589....29..519...183.2...5.12.8......9.....9...35
....5.......18.2.66..2.7..5.94.....8.........8.5...17....62..51...8..6.7..6.7182.
....5.......18.2.66..2.7..5.94.....8.....8...8.5...17....62..51......6.7..6.7182.
....5.7.....18.2.66..2.7..5.94.....8.........8.5...17....62..51...8..6....6.7182.
....5.7.....18.2.66..2.7..5.94.....8.....8...8.5...17....62..51......6....6.7182.
....56......18.2.66..2.7..5.94.....8.........8.5...17.....2..51...8..6.7..6.7182.
....56......18.2.66..2.7..5.94.....8.....8...8.5...17.....2..51......6.7..6.7182.
....567.....18.2.66..2.7..5.94.....8.........8.5...17.....2..51...8..6....6.7182.
....567.....18.2.66..2.7..5.94.....8.....8...8.5...17.....2..51......6....6.7182.
.2.4...89......2.6.6...214.....61......9.8..2...24..6.57.6....8.......919..8.4...
.2.4...89......2.6.6...214.2...61......9.8......24..6.57.6....8.......919..8.4...
.2.4...89......2.6.6...214.2...61......9.8..2....4..6.57.6....8.......919..8.4...
.2.4.6.89......2...6...214.....61......9.8..2...24..6.57.6....8.......919..8.4...
.2.4.6.89......2...6...214.2...61......9.8......24..6.57.6....8.......919..8.4...
.2.4.6.89......2...6...214.2...61......9.8..2....4..6.57.6....8.......919..8.4...
.2.....89...1..2.6.6...214.....61......9.8..2...24..6.57......8.......919..8.4...
.2.....89...1..2.6.6...214.2...61......9.8......24..6.57......8.......919..8.4...
.2.....89...1..2.6.6...214.2...61......9.8..2....4..6.57......8.......919..8.4...
.2...6.89...1..2...6...214.....61......9.8..2...24..6.57......8.......919..8.4...
.2...6.89...1..2...6...214.2...61......9.8......24..6.57......8.......919..8.4...
.2...6.89...1..2...6...214.2...61......9.8..2....4..6.57......8.......919..8.4...
.2.....89...1....6.6...214.2...61......9.8..2....4..6.57.....28.......919..8.4...
.2...6.89...1......6...214.2...61......9.8..2....4..6.57.....28.......919..8.4...
.2.....89...1....6.6....14.....61......9.8..2...24..6.57.....28.......919..8.4...
.2...6.89...1......6....14.....61......9.8..2...24..6.57.....28.......919..8.4...
.2.4...89........6.6....14.....61......9.8..2...24..6.57.6...28.......919..8.4...
.2.4.6.89..........6....14.....61......9.8..2...24..6.57.6...28.......919..8.4...
12.....8..5.1..2.66.9...51.......89.....7.....9..48.....2.....881..659.29.5...16.
12.....8..5.1..2.66.9...51.......89.....7.....9..48.....2....5881..659.29.....16.
12.....8..5.1..2.66.9...51.......89.....7.....9..48....62.....881...59.29.5...16.
12.....8..5.1..2.66.9...51.......89.....7.....9..48....62.....881..659.29.5...1..
12.....8..5.1..2.66.9...51.......89.....7.....9..48....62....5881...59.29.....16.
12.....8..5.1..2.66.9...51.......89.....7.....9..48....62....5881..659.29.....1..
..3..6.894.7..........23..427.....1.3.4.1..6..16..7...6..2.......1.34......67...1
..3..6.894.7..........23..427.....1.3.4.1..6..16..7...6..2.1.......34......67...1
..3..6.894.7..........23..427.....1.3.4.1..6..16..7...6..2.1.....1.34......67....
..3..6.894.7..........23..427.....1.3.4.12.6..16......6..2.......1.34......67...1
..3..6.894.7..........23..427.....1.3.4.12.6..16......6..2.1.......34......67...1
..3..6.894.7..........23..427.....1.3.4.12.6..16......6..2.1.....1.34......67....
..3..6.894.7..........23..427..6..1.3.4.12.6..1.......6..2.......1.34......67...1
..3..6.894.7..........23..427..6..1.3.4.12.6..1.......6..2.1.......34......67...1
..3..6.894.7..........23..427..6..1.3.4.12.6..1.......6..2.1.....1.34......67....
..3....894.7..........23..427..6..1.3.4.1..6..1...7...6..2.......1.34......67...1
..3....894.7..........23..427..6..1.3.4.1..6..1...7...6..2.1.......34......67...1
..3....894.7..........23..427..6..1.3.4.1..6..1...7...6..2.1.....1.34......67....
............1.9.3....73.5.4.85.6..4734....65.7.....8..56.....788.46..3.5.3....46.
............1.9.3....73.5.4.85.6..4734....65.7.6...8..5......788.46..3.5.3....46.
..3.........1.9......73.5.4.85.6..4734....65.7.....8.356.....788.46..3.5......46.
..3.........1.9......73.5.4.85.6..4734....65.7.6...8.35......788.46..3.5......46.
..3.........1.9.3....73.5.4.85.6..4734....65.7.....8..56.....788.46..3.5......46.
..3.........1.9.3....73.5.4.85.6..4734....65.7.6...8..5......788.46..3.5......46.
.2.4...89........6.6...214.2...61......9.8..2....4..6.57.6...28.......919..8.4...
.2.4.6.89..........6...214.2...61......9.8..2....4..6.57.6...28.......919..8.4...
1.3....894.7..........23..427..6..1.3.4.1..6......7...6..2.......1.34......67...1
1.3....894.7..........23..427..6..1.3.4.1..6......7...6..2.1.....1.34......67....
1.3..6.894.7..........23..427.....1.3.4.1..6...6..7...6..2.......1.34......67...1
1.3..6.894.7..........23..427.....1.3.4.12.6...6......6..2.......1.34......67...1
1.3..6.894.7..........23..427..6..1.3.4.12.6..........6..2.......1.34......67...1
1.3..6.894.7..........23..427..6..1.3.4.12.6..........6..2.1.....1.34......67....
.234.6...4.678....7...32....7..43...6.48.7....382....7.......15......6..862......
.234.6...4.678....7...32....7..4....6.48.7....382....7.......15...3..6..862......
.234.6...4.678....7....2....7..43...6.48.7....382....7.......15...3..6..862......
.2.4.6...4.678....7...32....7..43...6.48.7....382....73......15......6..862......
.2.4.6...4.678....7...32....7..4....6.48.7....382....73......15...3..6..862......
.2....7.945.....32..9...54....61....347...........3...57..9...4.32....979.....25.
.2....7.945.....32..9....4....61....347...........3..557..9...4.32....979.....25.
.2....7.945.....32..9...54....61....347...........3..557..9...4.32....979.....2..
.2....7.94......32..9...54...561....347...........3...57..9...4.32....979.....25.
.2....7.94......32..9...54...561....347...........3..557..9...4.32....979.....2..
...4.........89..6......4152.....34..35.....1..4.6...23.6....5451....62..42...1.3
...4.....4...89..........1526....34..35.....1....6...23.6....5451....62..42...1.3
...4.....4...89..........152.....34..35....61....6...23.6....5451....62..42...1.3
...4.....4...89..6.......152.....34..35.....1..4.6...23.6....5451....62...2...1.3
...4.....4...89..6.......152.....34..35....61....6...23.6....5451.....2..42...1.3
...4.....4...89..6.......152.....34..35.....1....6...23.6....5451....62..42...1.3
...4.........89.........41526....3...35.....1..4.6...23.6....5451....62..42...1.3
...4.........89.........4152.....3...35....61..4.6...23.6....5451....62..42...1.3
...4.........89..6......4152.....3...35....61..4.6...23.6....5451.....2..42...1.3
...4.....4...89..........1526....3...35.....1..4.6...23.6....5451....62...2...1.3
...4.....4...89..........152.....3...35....61..4.6...23.6....5451....62...2...1.3
...4.....4...89..6.......152.....3...35....61..4.6...23.6....5451.....2...2...1.3
......7..4.......2.......46.3.1.5...5.439.....91.74...3.594...1.175.3...9....7.5.
...4..7..4.......2.......46.3.1.5...5.439.....91.7....3.594...1.175.3...9....7.5.
...4..7..........2.......46.3.1.5...5.439.....91.7....3.594...1.175.3...94...7.5.
...4.........89.36......4152......4..35.....1..4.6.5.23.6....5451....62..42...1.3
...4.....4...89.3........152......4..35....61....6.5.23.6....5451....62..42...1.3
...4.....4...89.3........1526.....4..35.....1....6.5.23.6....5451....62..42...1.3
...4.....4...89.36.......152......4..35....61....6.5.23.6....5451.....2..42...1.3
...4.....4...89.36.......152......4..35.....1..4.6.5.23.6....5451....62...2...1.3
...4.....4...89.36.......152......4..35.....1....6.5.23.6....5451....62..42...1.3
...4.........89.3.......4152.........35....61..4.6.5.23.6....5451....62..42...1.3
...4.........89.3.......41526........35.....1..4.6.5.23.6....5451....62..42...1.3
...4.........89.36......4152.........35....61..4.6.5.23.6....5451.....2..42...1.3
...4.....4...89.3........152.........35....61..4.6.5.23.6....5451....62...2...1.3
...4.....4...89.3........1526........35.....1..4.6.5.23.6....5451....62...2...1.3
...4.....4...89.36.......152.........35....61..4.6.5.23.6....5451.....2...2...1.3
.2345.....5..89...9.83.2.....48.5...58..3...2.39.24...395............5...4.....71
.2345.....5..89...9.83.2.....48.....58..3...2.39.24...39.............5...4.5...71
.2345.....5..89...9.83.2.....48.5...58..3...2.39.24...39.............5...42....71
..345.....5..89...9.83.2...2.48.5...58..3...2.39.24...39.............5...42....71
..345.....5..89...9.83.2...2.48.....58..3...2.39.24...39.............5...425...71
1..4.........8.......2.........6..5337....86...5...1.75.16..3.883...5.76.67..851.
1..4.........8.......2.........6..5.37....86...5.3.1.75.16..3.883...5.76.67..851.
1..4.........8.......2.........6..5337....86...5...1.75.16..3.883...5.76.673..51.
1..4.........8.......2.........6..5.37....86...5.3.1.75.16..3.883...5.76.673..51.
1..4.........8.......2.........6..5337....8..6.5...1.75.16..3.883...5.76..7..851.
1..4.........8.......2.........6..5.37....8..6.5.3.1.75.16..3.883...5.76..7..851.
1..4.........8.......2.........6..5337....8..6.5...1.75.16..3.883...5.76..73..51.
1..4.........8.......2.........6..5.37....8..6.5.3.1.75.16..3.883...5.76..73..51.
.234.6...4.7..9...69.37........3.5..........2......8..36.79..2..42.6..7.7.92.4.6.
.234.6...4.7..9...69.37........3.5..........2......8..36.79.4....2.6..7.7.92.4.6.
...45...9.......63.98...5..28.9.......4.28..19.15.4...51.24.....498.1.....2......
...45...9.....9.63..8...5..28.9.......4.28..19.15.4...51.24.....498.1.....2......
...4....9....8..63.9....5..28.9.......4.2...19.15.4...51.24.....498.1...8.2..5...
...4....9....8..63.98...5..28.9.......4.2...19.15.4...51.24.....498.1.....2..5...
...4....9....89.63......5..28.9.......4.2...19.15.4...51.24.....498.1...8.2..5...
...4....9....89.63..8...5..28.9.......4.2...19.15.4...51.24.....498.1.....2..5...
...4....9....8..63.9....5..28.9.......4.28..19.15.4...51.24.....49..1...8.2..5...
...4....9....89.63......5..28.9.......4.28..19.15.4...51.24.....49..1...8.2..5...
...45...9....8..63.9....5..28.9.......4.2...19.15.4...51.24.....498.1...8.2......
...45...9....8..63.98...5..28.9.......4.2...19.15.4...51.24.....498.1.....2......
...45...9....89.63......5..28.9.......4.2...19.15.4...51.24.....498.1...8.2......
...45...9....89.63..8...5..28.9.......4.2...19.15.4...51.24.....498.1.....2......
...45...9....8..63.9....5..28.9.......4.28..19.15.4...51.24.....49..1...8.2......
...45...9....89.63......5..28.9.......4.28..19.15.4...51.24.....49..1...8.2......
...45...9.......63.98...5..28.91......4.28..19..5.4...51.24.....498.1.....2......
...45...9.....9.63..8...5..28.91......4.28..19..5.4...51.24.....498.1.....2......
...4....9....8..63.9....5..28.91......4.2...19..5.4...51.24.....498.1...8.2..5...
...4....9....8..63.98...5..28.91......4.2...19..5.4...51.24.....498.1.....2..5...
...4....9....89.63......5..28.91......4.2...19..5.4...51.24.....498.1...8.2..5...
...4....9....89.63..8...5..28.91......4.2...19..5.4...51.24.....498.1.....2..5...
...4....9....8..63.9....5..28.91......4.28..19..5.4...51.24.....49..1...8.2..5...
...4....9....89.63......5..28.91......4.28..19..5.4...51.24.....49..1...8.2..5...
...45...9....8..63.9....5..28.91......4.2...19..5.4...51.24.....498.1...8.2......
...45...9....8..63.98...5..28.91......4.2...19..5.4...51.24.....498.1.....2......
...45...9....89.63......5..28.91......4.2...19..5.4...51.24.....498.1...8.2......
...45...9....89.63..8...5..28.91......4.2...19..5.4...51.24.....498.1.....2......
...45...9....8..63.9....5..28.91......4.28..19..5.4...51.24.....49..1...8.2......
...45...9....89.63......5..28.91......4.28..19..5.4...51.24.....49..1...8.2......
...45...9.......63..8...5..28.9.......4.28..19.15.4...51.2......498.1.....2.9....
...4....9....8..63......5..28.9.......4.2...19.15.4...51.2......498.1...8.2.95...
...4....9....8..63..8...5..28.9.......4.2...19.15.4...51.2......498.1.....2.95...
...4....9....8..63......5..28.9.......4.28..19.15.4...51.2......49..1...8.2.95...
...45...9....8..63......5..28.9.......4.2...19.15.4...51.2......498.1...8.2.9....
...45...9....8..63..8...5..28.9.......4.2...19.15.4...51.2......498.1.....2.9....
...45...9....8..63......5..28.9.......4.28..19.15.4...51.2......49..1...8.2.9....
...45...9.......63..8...5..28.91......4.28..19..5.4...51.2......498.1.....2.9....
...4....9....8..63......5..28.91......4.2...19..5.4...51.2......498.1...8.2.95...
...4....9....8..63..8...5..28.91......4.2...19..5.4...51.2......498.1.....2.95...
...4....9....8..63......5..28.91......4.28..19..5.4...51.2......49..1...8.2.95...
...45...9....8..63......5..28.91......4.2...19..5.4...51.2......498.1...8.2.9....
...45...9....8..63..8...5..28.91......4.2...19..5.4...51.2......498.1.....2.9....
...45...9....8..63......5..28.91......4.28..19..5.4...51.2......49..1...8.2.9....
...4.........89.........41524....36...5.6..42.36.....13.2...1.451....62..64....53
...4.....4...89..........152.....36...5.6..42.36.....13.2...1.451....62..64....53
...4.........89..6......41524....3....5.6..42.36.....13.2...1.451.....2..64....53
...4.....4...89..6.......152.....3....5.6..42.36.....13.2...1.451.....2..64....53
...4.........89..6......51424....3....5.6..42.36...1.53.2......51....62..64....53
...4.........89..6......51.24....3....5.6..42.36...1.53.2...4..51.....2..64....53
...4.....4...89..6......51.2.....3....5.6..42.36...1.53.2......51....62..64....53
...4.....4...89..6......51.2.....3....5.6..42.36...1.53.2...4..51.....2..64....53
12..56..9.567.9..27.9.1.6..26..7.....175.2...9.5.61.........3.....1..8.........5.
12..56..9.567.9..27.9.1.6..26..7.5...17..2...9.5.61.........3.....1..8.........5.
12..56..9.567.91.27.9...6..26..7.....175.2...9.5.61.........3.....1..8.........5.
12..56..9.567.91.27.9...6..26..7.5...17..2...9.5.61.........3.....1..8.........5.
12...6..9.567.9..27.9.1.6.526..7.....175.2...9.5.61.........3.....1..8.........5.
12...6..9.567.91.27.9...6.526..7.....175.2...9.5.61.........3.....1..8.........5.
12...6..9.567.9..27.9.1.6..26..7.5...175.2...9...61.........3.....1..8.........5.
12...6..9.567.91.27.9...6..26..7.5...175.2...9...61.........3.....1..8.........5.
...45..89....8912....1.25.4...9.841....21..959....52..36......1......84...2......
...45..89....8912....1.25.4...9.841....21..959....5...36..2...1......84...2......
...45..89....8912....1.25.4...9.841....21..959....5...36......1......842..2......
...45..89....891.....1.25.4...9.841....21..959....52..36......1......842..2......
...45..89....891.....1.25.4...9.841.....1..959....52..36..2...1......84...2......
...45..8.....891.....1.25.4...9.841....21...59....52..36....9.1......842..2......
...45..8.....8912....1.25.4...9.841....21...59....5...36....9.1......84...2......
...45..8.....891.....1.25.4...9.841.....1...59....52..36..2.9.1......84...2......
....5678....78..32...2.36.52.........41...3........826..75..2.8...8.7.6.....3257.
....5678....78...2...2.36.52.........41...3........826..75..2.8...8.7.63....3257.
....5678....78..32...2.36.52.........41.2.3........8.6..75..2.8...8.7.6.....3.57.
....5678....78...2...2.36.52.........41.2.3........8.6..75..2.8...8.7.63....3.57.
....56.8....78..32...2.36.52.........41...3.7......826..75..2.8...8.7.6.....325..
....56.8....78...2...2.36.52.........41...3.7......826..75..2.8...8.7.63....325..
....56.8....78..32...2.36.52.........41.2.3.7......8.6..75..2.8...8.7.6.....3.5..
....56.8....78...2...2.36.52.........41.2.3.7......8.6..75..2.8...8.7.63....3.5..
...45..89....891.....1.25.4...9.841....21..959....58.236......1......248..2......
...45..89....891.....1.25.4...9.841.....1..959....58.236..2...1.......48..2......
...45..8.....8912....1.25.4...9.841....21...59....58.236....9.1.......48..2......
...45..8.....891.....1.25.4...9.841....21...59....58.236....9.1......248..2......
...45..8.....891.....1.25.4...9.841.....1...59....58.236..2.9.1.......48..2......
12...........89.....8...54....9.86.4.....4.53.6.53.9.......5.68...6.349.....4.3.5
12...........89.....8...54....9.8..4....64.53.6.53.9.......5.68...6.349.....4.3.5
12...........89.....8...54....9.86.4.....4.53.6.53.9......95.68...6.349.......3.5
12...........89.....8...54....9.8..4....64.53.6.53.9......95.68...6.349.......3.5
12..5.........9.....8....4....9.86.4.....4.53.6.53.9.........68...6.349....84.3.5
12..5.........9.....8....4....9.86.4.....4.53.6..3.9.......5.68...6.349....84.3.5
12..5.........9.....8....4....9.8..4....64.53.6.53.9.........68...6.349....84.3.5
12..5.........9.....8....4....9.8..4....64.53.6..3.9.......5.68...6.349....84.3.5
12..5........89.....8....4....9.86.4.....4.53.6.53.9.........68...6.349.....4.3.5
12..5........89.....8....4....9.86.4.....4.53.6..3.9.......5.68...6.349.....4.3.5
12..5........89.....8....4....9.8..4....64.53.6.53.9.........68...6.349.....4.3.5
12..5........89.....8....4....9.8..4....64.53.6..3.9.......5.68...6.349.....4.3.5
12..5.........9.....8....4....9.86.4.....4.53.6.53.9......9..68...6.349....8..3.5
12..5.........9.....8....4....9.86.4.....4.53.6..3.9......95.68...6.349....8..3.5
12..5.........9.....8....4....9.8..4....64.53.6.53.9......9..68...6.349....8..3.5
12..5.........9.....8....4....9.8..4....64.53.6..3.9......95.68...6.349....8..3.5
12..5........89.....8....4....9.86.4.....4.53.6.53.9......9..68...6.349.......3.5
12..5........89.....8....4....9.86.4.....4.53.6..3.9......95.68...6.349.......3.5
12..5........89.....8....4....9.8..4....64.53.6.53.9......9..68...6.349.......3.5
12..5........89.....8....4....9.8..4....64.53.6..3.9......95.68...6.349.......3.5
.234.6.....7..9...69.37...4....3.5..........2......8..36.79.....42.6..7.7.92.4.6.
.2...678.4.7...2..86.....54......5.8....9.......53.....842...6757.....2.6.....4..
1.3.56....567.....78.1.3..5.35..1...67...83..8.13...7..68.........8..9.6......2..
1.3.56....5678....78.1.3..5.35..1...67....3..8.13...7..68.........8..9.6......2..
.2.4...89.5..8923......34.5....958.3..932..54.....4.2........98..1......9.6......
.2.45..89.5..8923......34......958.3..932..54.....4.2........98..1......9.6......
.2.4....9.5..8923...8..34.5....958.3..932..54.....4.2........98..1......9.6......
.2.45...9.5..8923...8..34......958.3..932..54.....4.2........98..1......9.6......
.2.4...89.5..8.23......34.5.....58.3..932..54.....4.2........98..19.....9.6......
.2.4...89.5..8.23......34.5.....58.3..932..54.....492.........8..19.....9.6......
.2.4...89.5..8.23......34.5....958.3..932..54.....4.2.........8..19.....9.6......
.2.45..89.5..8.23......34.......58.3..932..54.....4.2........98..19.....9.6......
.2.45..89.5..8.23......34.......58.3..932..54.....492.........8..19.....9.6......
.2.45..89.5..8.23......34......958.3..932..54.....4.2.........8..19.....9.6......
.2.4....9....8923..98..34......958.3..532..94.....452........585.6........1......
.2.45...9....8923..98..34......9.8.3..532..94.....4.2........585.6........15.....
.2.45...9....8923..98..34......958.3..532..94.....4.2........585.6........1......
.2.4....9....8923..98..34.5....9.8.3..532..94.....4.2........585.6........15.....
.2.4....9....8923..98..34.5....958.3..532..94.....4.2.........85.6........15.....
.2.4....9....8923..98..34.5....958.3..532..94.....4.2........585.6........1......
.2.45...9....8923..98..34.5....9.8.3..532..94.....4.2.........85.6........15.....
.2.4....9.5..8923..98..34......9.8.3..532..94.....452........58..6........15.....
.2.4....9.5..8923..98..34......958.3...32..94.....452.........85.6........15.....
.2.4....9.5..8923..98..34......958.3...32..94.....452........58..6........15.....
.2.4....9.5..8923..98..34......958.3...32..94.....452........585.6........1......
.2.45...9.5..8923..98..34......9.8.3..532..94.....4.2........58..6........15.....
.2.4....9.5..8923..98..34.5....9.8.3..532..94.....4.2........58..6........15.....
.2.4....9....8923..98..34......9.8.3..532..94.....452.........85.6........15.....
.2.45...9.5..8.23...8..34.......58.3..932..54.....4.2........98..19.....9.6......
.2.45...9.5..8.23...8..34.......58.3..932..54.....492.........8..19.....9.6......
.2.45...9.5..8.23...8..34......958.3..932..54.....4.2.........8..19.....9.6......
.2.45...9.5..8.23...8..34......958.3...32..54.....492.........8..19.....9.6......
.2.45..89.5..8.23..9...34.......58.3..932..54.....4.2........98..19.......6......
.2.45..89.5..8.23..9...34.......58.3...32..54.....492.........8..19.....9.6......
.2.45..89.5..8.23..9...34.......58.3...32..54.....492........98..19.......6......
.2.45...9.5..8.23..98..34.......58.3..932..54.....4.2........98..19.......6......
.2.45...9.5..8.23..98..34.......58.3...32..54.....492.........8..19.....9.6......
.2.45...9.5..8.23..98..34.......58.3...32..54.....492........98..19.......6......
.2.4....9.5..8.23...8..34.5.....58.3..932..54.....4.2........98..19.....9.6......
.2.4....9.5..8.23...8..34.5.....58.3..932..54.....492.........8..19.....9.6......
.2.4....9.5..8.23...8..34.5....958.3..932..54.....4.2.........8..19.....9.6......
.2.4....9.5..8.23...8..34.5....958.3...32..54.....492.........8..19.....9.6......
.2.4...89.5..8.23..9...34.5.....58.3..932..54.....4.2........98..19.......6......
.2.4...89.5..8.23..9...34.5.....58.3...32..54.....492.........8..19.....9.6......
.2.4...89.5..8.23..9...34.5.....58.3...32..54.....492........98..19.......6......
.2.4....9.5..8.23..98..34.5.....58.3..932..54.....4.2........98..19.......6......
.2.4....9.5..8.23..98..34.5.....58.3...32..54.....492.........8..19.....9.6......
.2.4....9.5..8.23..98..34.5.....58.3...32..54.....492........98..19.......6......
.2.45.....5..8923...8..34......958.3...32..54.....492........98..1......9.6......
.2.45..8..5..8923..9...34.......58.3...32..54.....492........98..19.......6......
.2.45.....5..8923..98..34.......58.3...32..54.....492........98..19.......6......
.2.4......5..8923...8..34.5....958.3...32..54.....492........98..1......9.6......
.2.4...8..5..8923..9...34.5.....58.3...32..54.....492........98..19.......6......
.2.4......5..8923..98..34.5.....58.3...32..54.....492........98..19.......6......
.2.45.....5..8923...8..34.......58.3...32..54.....492.........8..19.....9.6......
.2.4......5..8923...8..34.5.....58.3...32..54.....492.........8..19.....9.6......
...4.........89.327..1.......8...9.75.7....239.....85.37.9.5..8.......7.8.2..3.95
...4.........89.327..1.......8.....75.7.9..239.....85.37.9.5..8.......7.8.2..3.95
...4.........89.237..1.......8...9.75.7....329.....85.37.9.5..8.......7.8.2..3.95
...4.........89.237..1.......8.....75.7.9..329.....85.37.9.5..8.......7.8.2..3.95
.2....78.4.6....2..9........3.5.897....29.....8..732.5.......5...5.278.....9.53..
.2....78.4.6....2..9...2....3.5.897.....9.....8..732.5.......5...5.278.....9.53..
.234......5...9...6.92.3...2.4.359...9.6.25...65.4...3.4....3.......46.1........7
.234......5...9...6.92.3...2.4.359...6.9.25...9564...3.4....3.......46.1........7
....5..8..5.18.2.6...3.215.....1.3.......586...56.3.12.........74...8....3826....
....56.8..5.18.2.6...3..15.....1.3......2586...56.3.12.........74...8....3826....
....56.89.5.1.92.6....2.15...596..18....1259......86...82...9.1.........74.....2.
....5..8..5.18.2.6...3.21......1.3.5.....586...56.3.12.........74...8....3826....
....56.8..5.18.2.6...3..1......1.3.5....2586...56.3.12.........74...8....3826....
.23......45...9...6.92.3...2.4.359...9.6.25...65.4...3.4....3.......46.1........7
.23......45...9...6.92.3...2.4.359...6.9.25...9564...3.4....3.......46.1........7
.....6.89.5.1.92.6....2.15...596..18....1259....5.86...82...9.1.........74.....2.
..3.........1.9......73.4.5.85.6..7434.....6.7.....3.85.46..8.386.....57......6..
..3.........1.9......73.4.5.85.6..7.34....56.7.....3.85.46..8.386......7......64.
..3.........1.9......73.4.5.85.6..7.34.....6.7.....3.85.46..8.386.....57......64.
12....78..5....2.66.87...15......17..81..76.276.....58...2.58.1....34.....2......
....5.....5.18.2.6...3.215....81.3.......586...56.3.12........874........3826....
....56....5.18.2.6...3..15....81.3......2586...5..3.12........874........3826....
....56....5.18.2.6...3.215....81.3.......586...5..3.12........874........3826....
....56.89.5.1.92.6......15...596..18....1259......86.2.82...9.1...2.....74.......
..3.........1.9......73.4.5.85.6..7.34.....6.7.6...3.85.46..8.38......57......64.
..3.........1.9......73.4.5.85.6..7.34....56.7.6...3.85.46..8.38.......7......64.
..3.........1.9......73.4.5.85.6..7434.....6.7.6...3.85.46..8.38......57......6..
12....78..57...2.66.87...15......17..81..76.2.6.....58...2.58.1....34.....2......
....56....5.18.2.6...3.21.....81.3.5.....586...5..3.12........874........3826....
....56....5.18.2.6...3..1.....81.3.5....2586...5..3.12........874........3826....
....5.....5.18.2.6...3.21.....81.3.5.....586...56.3.12........874........3826....
.....6.89.5.1.92.6......15...596..18....1259....5.86.2.82...9.1...2.....74.......
....5.....5.18.2.6...3.215.....1.3.......586...56.3.12........874...8....3826....
....56....5.18.2.6...3..15.....1.3......2586...56.3.12........874...8....3826....
....56.89.5.1.92.6......15...596..18....1259......86...82...9.1...2.....74.....2.
....5.....5.18.2.6...3.21......1.3.5.....586...56.3.12........874...8....3826....
....56....5.18.2.6...3..1......1.3.5....2586...56.3.12........874...8....3826....
.....6.89.5.1.92.6......15...596..18....1259....5.86...82...9.1...2.....74.....2.
...45.7.9..71.......9..2.51.1.7.59.474.29.5.......1..23..........4......8......2.
...45.7.9..71..2....9..2.51.1.7.59.474.29.5.......1...3..........4......8......2.
...45...9..71.......9.72.51.1...59.474.29.5.......1.723..........4......8......2.
...45...9..71..2....9.72.51.1...59.474.29.5.......1.7.3..........4......8......2.
...45.7.9..71.9.....9..2.51.1.7.59.474.2..5.......1..23..........4......8......2.
...45.7.9..71.92....9..2.51.1.7.59.474.2..5.......1...3..........4......8......2.
...45...9..71.9.....9.72.51.1...59.474.2..5.......1.723..........4......8......2.
...45...9..71.92....9.72.51.1...59.474.2..5.......1.7.3..........4......8......2.
...45.7.9..71.......9..2.51.1.7.59.47..29.51.....4...23..........4......8......2.
...45.7.9..71..2....9..2.51.1.7.59.47..29.51.....4....3..........4......8......2.
...45...9..71.......9.72.51.1...59.47..29.51.....4..723..........4......8......2.
...45...9..71..2....9.72.51.1...59.47..29.51.....4..7.3..........4......8......2.
...45.7.9..71.......9..2.51.1.7.59.47..29.5......41..23..........4......8......2.
...45.7.9..71..2....9..2.51.1.7.59.47..29.5......41...3..........4......8......2.
...45...9..71.......9.72.51.1...59.47..29.5......41.723..........4......8......2.
...45...9..71..2....9.72.51.1...59.47..29.5......41.7.3..........4......8......2.
...45.7.9..71.9.....9..2.51.1.7.59.47..2..51.....4...23..........4......8......2.
...45.7.9..71.92....9..2.51.1.7.59.47..2..51.....4....3..........4......8......2.
...45...9..71.9.....9.72.51.1...59.47..2..51.....4..723..........4......8......2.
...45...9..71.92....9.72.51.1...59.47..2..51.....4..7.3..........4......8......2.
...45.7.9..71.9.....9..2.51.1.7.59.47..2..5......41..23..........4......8......2.
...45.7.9..71.92....9..2.51.1.7.59.47..2..5......41...3..........4......8......2.
...45...9..71.9.....9.72.51.1...59.47..2..5......41.723..........4......8......2.
...45...9..71.92....9.72.51.1...59.47..2..5......41.7.3..........4......8......2.
...45.7.9..71.......9..2.51.1.7.59.4.4.29.5.......1.723..........4......8......2.
...45...9..71.......9.72.51.1.7.59.4.4.29.5.......1.723..........4......8......2.
...45.7.9..71..2....9..2.51.1.7.59.4.4.29.5.......1.7.3..........4......8......2.
...45...9..71..2....9.72.51.1.7.59.4.4.29.5.......1.7.3..........4......8......2.
...45.7.9..71.9.....9..2.51.1.7.59.4.4.2..5.......1.723..........4......8......2.
...45...9..71.9.....9.72.51.1.7.59.4.4.2..5.......1.723..........4......8......2.
...45.7.9..71.92....9..2.51.1.7.59.4.4.2..5.......1.7.3..........4......8......2.
...45...9..71.92....9.72.51.1.7.59.4.4.2..5.......1.7.3..........4......8......2.
...45.7.9..71.......9..2.51.1.7.59.4.4.29.51.....4..723..........4......8......2.
...45...9..71.......9.72.51.1.7.59.4.4.29.51.....4..723..........4......8......2.
...45.7.9..71..2....9..2.51.1.7.59.4.4.29.51.....4..7.3..........4......8......2.
...45...9..71..2....9.72.51.1.7.59.4.4.29.51.....4..7.3..........4......8......2.
...45.7.9..71.9.....9..2.51.1.7.59.4.4.2..51.....4..723..........4......8......2.
...45...9..71.9.....9.72.51.1.7.59.4.4.2..51.....4..723..........4......8......2.
...45.7.9..71.92....9..2.51.1.7.59.4.4.2..51.....4..7.3..........4......8......2.
...45...9..71.92....9.72.51.1.7.59.4.4.2..51.....4..7.3..........4......8......2.
.2.4.678.....8.2......7..14.15...6......41.....9..........68...7..2..8....271.46.
.2...678....18.2......7..14.15...6......41.....9..........68...7..2.48....271.46.
Paquita
 
Posts: 132
Joined: 11 November 2018

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