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 denis_berthier » Mon Mar 07, 2022 11:24 am

hendrik_monard wrote:
denis_berthier wrote:.
Conclusion: as of now, in addition to Loki (and its equivalent 11.8 form), there are two 11.8 puzzles not in T&E(2):
........1.....2.......3..45.16.23...27.8.61..3.871.6...32.68..718..7....6.7...... 29c not in T&E(2)
........1.....2.34.35.......62......7.3.25..885...67...7853....32..68...5.62.7.8. 30c not in T&E(2)

These two are not minimal. As I understood it, they are an expansion of the group of puzzles on the following lines.
The first relates to Loki and friend(s), and the second to two other puzzles from mith with respectively 26c and 27c.
It is interesting to observe that in the last case the puzzles are in T&E(2) but the expansion is not. I interpret this as an indication that a higher number of clues can cause a higher ranking, even if the 'puzzle' is not minimal. Of course one has to be careful with results obtained for non minimals.

Hi Hendrik,
I know these two are not minimal.
In my treatment of series 3, as I explained, I checked only the 74 expansions (not the 146 puzzles).
Who said the puzzles with any of these two expansions are in T&E(2)? Obviously, they can't be. I don't need to make any computations for stating this:
- adding clues can't in any way increase any of my ratings/classifications;
- T&E(n) and all of these classification results are totally unrelated to minimality.
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Re: The hardest sudokus (new thread)

Postby hendrik_monard » Tue Mar 08, 2022 9:21 am

denis_berthier wrote:. ............I don't need to make any computations for stating this:
- adding clues can't in any way increase any of my ratings/classifications;
- T&E(n) and all of these classification results are totally unrelated to minimality.


OK, I've got it.
The same cannot be said about SER. I got the following rating for the second expanded puzzle (30c) in your message:
........1.....2.34.35.......62......7.3.25..885...67...7853....32..68...5.62.7.8. ED=11.9/11.9/3.4
while the two related minimal puzzles (resp. 26c and 27c) have ED=11.8/1.2/1.2
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Re: The hardest sudokus (new thread)

Postby denis_berthier » Tue Mar 08, 2022 1:53 pm

hendrik_monard wrote:
denis_berthier wrote:. ............I don't need to make any computations for stating this:
- adding clues can't in any way increase any of my ratings/classifications;
- T&E(n) and all of these classification results are totally unrelated to minimality.

OK, I've got it.
The same cannot be said about SER. I got the following rating for the second expanded puzzle (30c) in your message:
........1.....2.34.35.......62......7.3.25..885...67...7853....32..68...5.62.7.8. ED=11.9/11.9/3.4
while the two related minimal puzzles (resp. 26c and 27c) have ED=11.8/1.2/1.2


Interesting. That'll make one more example of the inconsistencies of the SER.
However, that doesn't change the status of the SER as the only de facto reference as a vague measure of difficulty.
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Re: The hardest sudokus (new thread)

Postby champagne » Tue Mar 08, 2022 6:32 pm

hendrik_monard wrote:The same cannot be said about SER. I got the following rating for the second expanded puzzle (30c) in your message:
........1.....2.34.35.......62......7.3.25..885...67...7853....32..68...5.62.7.8. ED=11.9/11.9/3.4
while the two related minimal puzzles (resp. 26c and 27c) have ED=11.8/1.2/1.2



Once more, in the very high ratings, in 2005, Nicolas Juillerat limited the search to have an acceptable run time.
The result is a small deviation of the results in the different morphs of a puzzle.
Adding a clue, you can in some way have another morph of the puzzle analyzed.

Nobody proposed so far a "difficulty rating" receiving an agreement of the community.

And it's not a rating telling that a puzzle solved manually by one of our friends in less than one our is "the hardest ever seen" that can push us to take such a rating as reference
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Re: The hardest sudokus (new thread)

Postby mith » Tue Mar 08, 2022 8:49 pm

Bigger update today, but no 11.8+.

11.7 (27c-31c):
Hidden Text: Show
Code: Select all
........1......234.....2..5..6.78....9.25....72.6.9..8.6259.8..85..27...9.78.65..  ED=11.7/1.2/1.2
........1......234.....2.56..7.86....9.25....82.7.9.6..7259....65..28...9.86.75..  ED=11.7/1.2/1.2
........1......234.....2.5...6.78....9.25....72.6.9.8..6259.8..85..27...9.78.65..  ED=11.7/1.2/1.2
........1......234.....2.56..7.8.....9625....82.7.9.6..7259....65..28...9.86.75..  ED=11.7/1.2/1.2
.......12......345....13.....678.9...98.31...73.9.6....69..8.7.31...9...8.716....  ED=11.7/1.2/1.2
........1....23.....4.56....178..59.5......149..5..8.7.59...18.4.1.8.7.978.....4.  ED=11.7/1.2/1.2
........1.....2345.23........6.7....2.8..6.9.37.8.9....329.7...6.7.289..98.36....  ED=11.7/1.2/1.2
........1......234.....2..5.12.6....6.7.28..998.7......61.7.9..7.98.61..82..19...  ED=11.7/1.2/1.2
........1......234.....2..5..5.26....2758.9..86.9.75...7..69....9825....6.27.8...  ED=11.7/1.2/1.2
........1......234.....2..5..5.26....2758.9..86.9.75...7..6.....9825....6.27.8..9  ED=11.7/1.2/1.2
........1......234....25..6..5..7....862.9...72.58..6..529.8...69..72...8.76..9..  ED=11.7/1.2/1.2
........1......234....25..6..5..7....862.9...72..8..6..529.8...69..72...8.765.9..  ED=11.7/1.2/1.2
........1......234....25..6..5.67....8.2.9...72.58..6..529.8...69..72...8.76..9..  ED=11.7/1.2/1.2
........1......234....25..6..5.67....8.2.9...72..8..6..529.8...69..72...8.765.9..  ED=11.7/1.2/1.2
........1......234....25.....5.67....8.2.9...72.58..6..529.86..69..72...8.76..9..  ED=11.7/1.2/1.2
........1......234....25.....5.67....8.2.9...72..8..6..529.86..69..72...8.765.9..  ED=11.7/1.2/1.2
.......12......345.....3..6.13.7....28.9.....7.9.38.2..71.9....83..12...9.28.71..  ED=11.7/1.2/1.2
.......12......345.....3..6..7.8.....3192....98.3.7.2..198.....7.31.2...82..791..  ED=11.7/1.2/1.2
.......12.....3..4..3....5..36.57...58..9.7..7.96.85...679.....35..8....9.8.36.7.  ED=11.7/1.2/1.2
........1......234.....2.5...5.26....2758.9..86.9.75...7..69....9825....6.27.8...  ED=11.7/1.2/1.2
........1......234.....2.5...5.26....2758.9..86.9.75...7..6.....9825....6.27.8.9.  ED=11.7/1.2/1.2
........1......234.....2.5..12.6....6.7.28..998.7......61.7.9..7.98.61..82..19...  ED=11.7/1.2/1.2
........1......234.....5..6..6.52....7568.9..82.7.96...92.67...6.859....7..2.8...  ED=11.7/1.2/1.2
........1......234.....5..6..7.28....8695....92.6.7....695.2...2.8.7.6..75.86.9..  ED=11.7/1.2/1.2
........1......234....25..6..5.67....862.9...72..8.....529.86...9..72...8.765.9..  ED=11.7/1.2/1.2
........1......234....25..6..5.67....862.9...72.58.....529.86...9..72...8.76..9..  ED=11.7/1.2/1.2
........1....12......345.....67...89.79...1.383....67..67.8.93.31....7..9.8.....6  ED=11.7/1.2/1.2
.......12......345....13.....678.9...98..1...73.9.6....693.8.7.31...9...8.7.6....  ED=11.7/1.2/1.2
........1......234.....2..5..6.78....9.25....72.6.9..8.62.9.5..85..27...9.7..68..  ED=11.7/1.2/1.2
........1......234.....2..5..5.26....2789.5..96...78...7..6.....8925....6.27.9..8  ED=11.7/1.2/1.2
........1......234.....2..5..6.7.....8925....72.6.8..9.6298.5..8.7..6...95..27...  ED=11.7/1.2/1.2
........1......234.....2..5..6.78....9.25....72.6.9..8.6289.5..85..27...9.7..6...  ED=11.7/1.2/1.2
........1......234.....2..5..6.78....9825....72.6.9....62.9.5..85..27...9.7..68..  ED=11.7/1.2/1.2
........1......234.....2..5..5.26....2789.5..96...78...7..68....8925....6.27.9...  ED=11.7/1.2/1.2
........1......234.....2..5..6.7.....2189....87.2.6..9.187..9..6.21.....79..681..  ED=11.7/1.2/1.2
........1......234.....2..5.1267....6.82.9...79..8.....618..7..8.7.961..92.1.....  ED=11.7/1.2/1.2
........1......234.....2..5.12.6....6.7.28..998.7......6187....7.9..61..82..19...  ED=11.7/1.2/1.2
........1.....2.....3...245..6.37.8..7892....9..6......892.3...3.7.698..62.78....  ED=11.7/1.2/1.2
........1......234.....2..5..6.7.....2189....87.2.6..9.1876....6.21.9...79...81..  ED=11.7/1.2/1.2
........1.....2345.23........6..7.8...729....39.6.8....328.9...7.9..68..86.37....  ED=11.7/1.2/1.2
........1......234....25.....6.7..8..782.9...95..6.....89.52...5.769.8..62.8.7...  ED=11.7/1.2/1.2
........1......234.....2.5...6.7.....2189....87.2.6..9.187..9..6.21.....79..681..  ED=11.7/1.2/1.2
.......12.....3..4..3....5..36.5....57..8.9..9.86.75...6.8.....35.97....8.7.36.9.  ED=11.7/1.2/1.2
........1......234.....2.5..1267....6.82.9...79..8.....618..7..8.7.961..92.1.....  ED=11.7/1.2/1.2
........1......234.....2..5..6.7.....8925....72.6.8..9.6758....8.29.65..95...7...  ED=11.7/1.2/1.2
........1......234.....2..5..6.78....9.25....72.6.9..8.6759....85...7...9.28.65..  ED=11.7/1.2/1.2
........1.....2.....3...245..6.37.8..7892....93.6.8.....7.698...892.3...62.7.....  ED=11.7/1.2/1.2
........1.....2.....3...245..6.37.8..7892....93.6.......7.698...892.3...62.78....  ED=11.7/1.2/1.2
........1.....2.....3...245..6.37.8..7892....9..6.8....892.3...3.7.698..62.7.....  ED=11.7/1.2/1.2
........1.....2.34.25.....6.57.86...6..7.98..89.52.....7.......2.9.57.6.58.69....  ED=11.7/1.2/1.2
........1.....2.34.25.....6..7.58.6..8.2.....59.67.....58.96...6.28.79..97.5.....  ED=11.7/1.2/1.2
........1.....2.34.25.....6.57.86...6..7.98..89.52.....76......2.9.57.6.58..9....  ED=11.7/1.2/1.2
........1.....2.34.25.....6..7.58.6..862.....59..7.....58.96...6.28.79..97.5.....  ED=11.7/1.2/1.2
........1.....2.34.25.......56.78...79.52.8..8..6.97...68......2.9.56.8.57..9....  ED=11.7/1.2/1.2
........1.....2.34.25........6.57.8..782.....59..6.....57.98...8.27.69..96.5..8..  ED=11.7/1.2/1.2
........1......234....25.....5..6....782.9...62..7..8..529.78...9..62...7.685.9..  ED=11.7/1.2/1.2
........1......234....25.....5..6....782.9...62.57..8..529.78...9..62...7.68..9..  ED=11.7/1.2/1.2
........1......234.....2..5.1267....6.82.9...79..8.....6189.7..8.7..61..92.1.....  ED=11.7/1.2/1.2
........1......234....25.....6.7..8..782.9...95...6....89.52...5.769.8..62.8.7...  ED=11.7/1.2/1.2
........1......234.....5.....2.67....6859.....7.2.8..9.96.52...28.7..6..7.568.9..  ED=11.7/1.2/1.2
........1......234.....5.....6.27..8.79.5....82.9.6....9.5.2...2.7.689..65.79.8..  ED=11.7/1.2/1.2
........1......234....25.....2.67....6859.....7...8..9.96.52...28.7..6..7.568.9..  ED=11.7/1.2/1.2
........1......234....25.....6..7..8.795.....82..96....9..52...2.76.89..65.97.8..  ED=11.7/1.2/1.2
........1......234.....2..5..5..6....6758.9..82.9.75...7..6.....9825....6.27.8..9  ED=11.7/1.2/1.2
........1......234.....2..5..5..6....6758.9..82.9.75...7..69....9825....6.27.8...  ED=11.7/1.2/1.2
........1.....2345.23........6..7.8..7829....39.6.8....328.9....6.37....7.9..68..  ED=11.7/1.2/1.2
........1.....2345.23........6..7.8..7.29....39.6.8....328.9...7.9..68..86.37....  ED=11.7/1.2/1.2
........1......234....25.....6.7..8..782.9...95..86....89.52...5.769.8..62...7...  ED=11.7/1.2/1.2
........1......234.....2..5..6.7.....2189....87.2.6..9.1876.9..6.21.....79...81..  ED=11.7/1.2/1.2
........1......234....25..6..6.52....75.8.9..82.7.9....92.76...6.85.....7....8.69  ED=11.7/1.2/1.2
........1......234....25..6..6.52....75.8.9..82.7.9....92.76...6.859....7....8.6.  ED=11.7/1.2/1.2
........1......234.....5..6..6.52....75.8.9..82.7.9....92.76...6.85.....7..2.8.69  ED=11.7/1.2/1.2
........1......234.....5..6..6.52....75.8.9..82.7.9....92.76...6.859....7..2.8.6.  ED=11.7/1.2/1.2
........1......234.....5..6..6.52....75.8.9..82.7.96...92.76...6.859....7..2.8...  ED=11.7/1.2/1.2
........1.....2.34.25.....6.52.6.....7.85.9..8.92.7....869.....2.7..8.695...76...  ED=11.7/1.2/1.2
........1.....2.34.25.....6.52.67....8.95.7..9..2.8....96......2.8..9.6757..86...  ED=11.7/1.2/1.2
........1.....2.34.25.....6.52.67....8.95.7..9..2.8....967.....2.8..9.6.57..86...  ED=11.7/1.2/1.2
........1.....2.34.25.....6.52.6.....7.85.9..8.92.7....869.....2.7..8.6.59..76...  ED=11.7/1.2/1.2
........1.....2.34.25.......52.67....8.95.7..9..2.86...967.....2.8..9.6.57..86...  ED=11.7/1.2/1.2
........1.....2.34.25.......52.6.....7.85.9..8.92.76...869.....2.7..8.6.59..76...  ED=11.7/1.2/1.2
........1.....2.34.23...5....6..78...78.2....35.6......375.8...56..3..8.8.2.76.5.  ED=11.7/1.2/1.2
........1......234....14.5...6.7..8..7.1.....84..65....58.41...4.768...561.5.7...  ED=11.7/1.2/1.2
........1.....2.34..3...5.6.27..86..53..7....8.62......628.7.5.3.8.56...75.3.....  ED=11.7/1.2/1.2
........1.....2.34..3...5.6.27..86..53..7....8.6.......628.7.5.3.8.56...75.32....  ED=11.7/1.2/1.2
........1.....2.34..3...5.6.27..86..53.67....8..2......628.7.5.3.8.56...75.3.....  ED=11.7/1.2/1.2
........1.....2.34..3...5.6.27..86..53.67....8.........628.7.5.3.8.56...75.32....  ED=11.7/1.2/1.2
........1......234....14.5...4.65.....71.8....6..7..8..85.41...47.68...56.15.7...  ED=11.7/1.2/1.2
........1.....2.3...4...2.5..6.47.8..4.6.8...7..32.....2.73.8...67.843..3.82.6...  ED=11.7/1.2/1.2
........1.....2.3...4...2.5....67.....64.8.7..8.23.....37.26...24.38.7..6.87.43..  ED=11.7/1.2/1.2
........1.....2.34.23...5.6.37.56...58.32....6..7.8.5..76......2.8..76..35..8....  ED=11.7/1.2/1.2
........1.....2.34.23...5.6.37.56...58.32....6..7.8.5..7.......2.8..76..35.68....  ED=11.7/1.2/1.2
........1.....2.34.23...5...36.57...58.32..7.7..6.8.5..67......2.8..67..35..8....  ED=11.7/1.2/1.2
........1......234....14.5...4.65.....71.8....6..7..8..85.41...47.6....56.15.7..8  ED=11.7/1.2/1.2
........1.....2.34.23...5.6..7..86...86.2....35.7......385.6...57..3....6.2.87.5.  ED=11.7/1.2/1.2
........1.....2.34.23...5.6..7..86...8..2....35.76.....385.6...57..3....6.2.87.5.  ED=11.7/1.2/1.2
........1......234....14.5...5.41....615.7..874.68...5..71......84.65...6...7..8.  ED=11.7/1.2/1.2
........1....23.....4.15.....67...89.49...17..8....6.4.98.....641....7..6.7.8.94.  ED=11.7/1.2/1.2
........1...234.....2.15.....67...89.79...1..82....67..1....7...67.8.92.9.8.....6  ED=11.7/1.2/1.2
........1....23.....4.56.....7....14.187..59.9..5....8.59...17.4.1.7.8.98......4.  ED=11.7/1.2/1.2
........1......234....25.....65.7.8..7829....95...6....89......5.76.98..62.87....  ED=11.7/1.2/1.2
........1......234.....2..5..6.7.1...7.8.69...82.19....987.....2.1.6....76..28..9  ED=11.7/1.2/1.2
........1......234.....2..5..6.7.....2189....87.2.6..9.987..1..6.21.....7...689..  ED=11.7/1.2/1.2
........1......234.....2..5..6.7.....2189....87.2.6..9.987..1..6.21.9...7...68...  ED=11.7/1.2/1.2
........1......234.....2..5..6.78....271.9...98.6..1...79.6....21.8.....6.82.7..9  ED=11.7/1.2/1.2
........1......234.....2..5..6.7.1...7.8.69...82.19....987.....2.196....76..28...  ED=11.7/1.2/1.2
........1......234.....2..5..6.789...271.....98.6..1...79.6....21.89....6.82.7...  ED=11.7/1.2/1.2
........1.....2345.23..........67...6.893....97.2.86...9.7.....28...9.6.3.7.86...  ED=11.7/1.2/1.2
........1.....2345.23........2.67...6.893....97...86...8...9.6..9.72....3.7.86...  ED=11.7/1.2/1.2
........1.....2.....3...245..637..8..782.9...93..6......769.8...89..3...62.8.7...  ED=11.7/1.2/1.2
........1.....2.....3...245..637..8..782.9...9...6.....89..3...3.769.8..62.8.7...  ED=11.7/1.2/1.2
........1......234....25.....6..7.8..7829....95...6....89.5....5.76.98..62.87....  ED=11.7/1.2/1.2
........1...234.....2..5.....6.78.29.8......69.7....1..29....6816.8..97.7.....1.2  ED=11.7/1.2/1.2
........1....2345..24.1..63......6.5..7.6.....89..........425.6...63..1.4..1.532.  ED=11.7/1.2/1.2
........1..2..3.....1.45......6...78.76...9.29.87..16..29.6.8...8.....271.....6.9  ED=11.7/1.2/1.2
........1.....2.34.25........6.57.8..7.2.....59.86.....57.9....8.27.69..96.5..8..  ED=11.7/1.2/1.2
........1.....2.34.25.......56.7....78.52.9..9..6.87...6.......2.8.56.9.57.98....  ED=11.7/1.2/1.2
........1......234.....5.....6.27.89.78.5....92...6....8.5.2...2.7.69...65.78.9..  ED=11.7/1.2/1.2
........1......234....25.....6..7.89.785.....92...6....8..52...2.76.9...65.87.9..  ED=11.7/1.2/1.2
........1...234.....2..5.....6.7..28.87...91.9.......6.7....1.22.8....6961.9..87.  ED=11.7/1.2/1.2
........1......234.....5.....6.27.8..7895....92...6....8.5.2...2.7.69...65.78.9..  ED=11.7/1.2/1.2
........1...234.....2..5.....6....78.9....1.271.8..69...7.9..26.69...81.82......7  ED=11.7/1.2/1.2
........1...234.....2..5.....6.7..28.87...91.9.......6.79...1.22.8....6.61.9..87.  ED=11.7/1.2/1.2
........1......234.....5.....6.27.8..7895....92...6....895.2...2.7.6....65.78.9..  ED=11.7/1.2/1.2
........1....23.45..21.436......6.53...2.51.4.5.31..2.2.......67..4.....8.96.....  ED=11.7/1.2/1.2
........1...234.....2..5.....6....7..89...1.271.9..68...7.8..26.68...91.92......7  ED=11.7/1.2/1.2
........1......234....25.....6..7.8..7859....92...6....8..52...2.76.9...65.87.9..  ED=11.7/1.2/1.2
........1......234....25.....6..7.8..7859....92...6....89.52...2.76.....65.87.9..  ED=11.7/1.2/1.2
........1....23.....4..5....1.....674.7.6..8.8.....4.9.789..61.1..6..9.89.6....74  ED=11.7/1.2/1.2
........1....23.....4..5....1.....674.7.6.18.8.....4.9.789..6..1..6..9.89.6....74  ED=11.7/1.2/1.2
........1...234.....2..5.....6....78.9....1.271.8..69...7.98.26.69....1.82......7  ED=11.7/1.2/1.2
........1....2345..24.1..63........5..7.6....689..........425.6...63..1.4..1.532.  ED=11.7/1.2/1.2
........1......234.....5.....2..6....6..27.89.8795.....985.2...27..6....6.578.9..  ED=11.7/1.2/1.2
........1......234....25.....2..6....6...7.89.8759.....98.52...27.6.....6.587.9..  ED=11.7/1.2/1.2
........1..2..3.....1245..........67.27.6.18..8....2.9.96....7.2.89..6..71....9.8  ED=11.7/1.2/1.2
........1...234.....2..5....1......62.6.7.18.87....2.9.289..7..16....9.89.7....6.  ED=11.7/1.2/1.2
........1...234.....2..5....1......62.6.7..8.87....2.9.289..71.16....9.89.7....6.  ED=11.7/1.2/1.2
........1...234.....2..5....1.....672.7.6.18.8.....2.9.289..6..17....9.89.6....7.  ED=11.7/1.2/1.2
........1...234.....2..5....1.....672.7.6..8.8.....2.9.289..61.17....9.89.6....7.  ED=11.7/1.2/1.2
........1..2..3.....1245....1......62.6.7..8.87....2.9.289..71..6....9.89.7....6.  ED=11.7/1.2/1.2
........1..2..3.....1245....1.....672.7.6..8.8.....2.9.289..61..7....9.89.6....7.  ED=11.7/1.2/1.2
........1...234.....2..5....1......62.6.7.18.87....2.9.289..7..16.7..9.89......6.  ED=11.7/1.2/1.2
........1...234.....2..5....1......62.6.7..8.87....2.9.289..71.16.7..9.89......6.  ED=11.7/1.2/1.2
........1..2..3.....1245....1......62.6.7..8.87....2.9.289..71..6.7..9.89......6.  ED=11.7/1.2/1.2
.......12.....3..4.35........6..7.8..7839....59.6.8....538.9....6.57.9..7....68..  ED=11.7/1.2/1.2
.......12.....3..4.35........6..7.8..7839....59.6.8....538......6.57.9..7.9..68..  ED=11.7/1.2/1.2
........1.....2.34.25........6..7.8..7829....59.6.8....528.9....6.57.9..7....68..  ED=11.7/1.2/1.2
........1.....2.34.25........6..7.8..7829....59.6.8....528......6.57.9..7.9..68..  ED=11.7/1.2/1.2
........1.....2.34.25.....6..7..8.69.8629....5..7.6....526......7.58.9..8.9..7...  ED=11.7/1.2/1.2
........1.....2.34.25.....6..7..8.69.86.2....59..76....52.69....7.85.9..8....7...  ED=11.7/1.2/1.2
........1.....2.34.25.....6..7..8.6..8629....59.7.6....526.9....7.58.9..8....7...  ED=11.7/1.2/1.2
........1.....2.34.25.....6..7..8.6..8629....59.7.6....526......7.58.9..8.9..7...  ED=11.7/1.2/1.2
........1.....2.34.25.......52.6....67.85.9..8.92.7....8.9.....2.7..8.695...76...  ED=11.7/1.2/1.2
........1.....2.34.25.......52.67...68.95.7..9..2.8....9.......2.8..9.6757..86...  ED=11.7/1.2/1.2
........1.....2.34.25.......52.67...68.95.7..9..2.8....9.7.....2.8..9.6.57..86...  ED=11.7/1.2/1.2
........1.....2.34.25.......52.6....67.85.9..8.92.7....8.9.....2.7..8.6.59..76...  ED=11.7/1.2/1.2
........1.....2.34.25........6.57..8.782.....59..6......7.98...8.25.69..96.7..8..  ED=11.7/1.2/1.2
........1.....2.34.25........6.78...79.62.8..8..5.97...68......2.9.56..857..9....  ED=11.7/1.2/1.2
........1.....2.34.23...5....6..78...7..2....35.68.....375.....56..3..8.8.2.76.5.  ED=11.7/1.2/1.2
........1.....2.3...4...2.5..6.47.8..4.6.....78.32.....2.73.8...67.843..3..2.6...  ED=11.7/1.2/1.2
........1.....2.3...4...2.5....6......64.7.8.78.23.....678.43..3...26...42.37.8..  ED=11.7/1.2/1.2
........1.....2.34.23...5...36.5....57.32..8.8..6.7.5..6.......2.7..68..35.87....  ED=11.7/1.2/1.2
..............1..2.....3.45..1.6.....7893....96.....73.37.196..6.978.3..81.......  ED=11.7/1.2/1.2
..............1..2.....3.45.13.6....6.71...8.89.73.....7689.3..1.9......38...76..  ED=11.7/1.2/1.2
..............1..2.....3.45..678.3...37..69..81...9....7863....3.1.9....69.1...7.  ED=11.7/1.2/1.2
..............1..2.....3.45..6..78...8769.3..19.3......31.8....6.973....87.1...6.  ED=11.7/1.2/1.2
..............1..2.....3.45..6..78....769.3..19.3.8....31.8....6.973....87.1...6.  ED=11.7/1.2/1.2
..............1..2.....3.45.13.6....6.7....8.89.73.....7689.3..1.9......38..176..  ED=11.7/1.2/1.2
..............1..2.....3.45..678.3...37.169..81...9....7863....3.1.9....69.....7.  ED=11.7/1.2/1.2
..............1..2.....3.45..6.178...8769.3..19.3......31.8....6.973....87.....6.  ED=11.7/1.2/1.2
..............1..2.....3.45..6.178....769.3..19.3.8....31.8....6.973....87.....6.  ED=11.7/1.2/1.2
..............1..2.....3.45.13.6....6.71...8389.7......7689.3..1.9......38...76..  ED=11.7/1.2/1.2
..............1..2.....3.45..678.3...37..69..81...9....786.....3.1.9....69.1...73  ED=11.7/1.2/1.2
..............1..2.....3.45..6..78...8769.3..19.3......31.8....6.97.....87.1...63  ED=11.7/1.2/1.2
..............1..2.....3.45..6..78....769.3..19.3.8....31.8....6.97.....87.1...63  ED=11.7/1.2/1.2
..............1..2.....3.45.13.6....6.7....8389.7......7689.3..1.9......38..176..  ED=11.7/1.2/1.2
..............1..2.....3.45..678.3...37.169..81...9....786.....3.1.9....69.....73  ED=11.7/1.2/1.2
..............1..2.....3.45..6.178...8769.3..19.3......31.8....6.97.....87.....63  ED=11.7/1.2/1.2
..............1..2.....3.45..6.178....769.3..19.3.8....31.8....6.97.....87.....63  ED=11.7/1.2/1.2
..............1..2.....3.45..1.6.....7893....96.1...73.37..96..6.978.3..81.......  ED=11.7/1.2/1.2
..............1..2.....3.45..1.6.....7893....96.1...73..978.3...37..96..81...6...  ED=11.7/1.2/1.2
..............1..2.....3.45..1.6.....7893....96.....73..978.3...37.196..81...6...  ED=11.7/1.2/1.2
..............1..2.....3.45..1.6.....789.....96.1...73.37..96..6.978.3..81.3.....  ED=11.7/1.2/1.2
..............1..2.....3.45..1.6.....789.....96.1...73..978.3...37..96..81.3.6...  ED=11.7/1.2/1.2
..............1..2.....3.45..1.6.....789.....96.....73.37.196..6.978.3..81.3.....  ED=11.7/1.2/1.2
..............1..2.....3.45..1.6.....789.....96.....73..978.3...37.196..81.3.6...  ED=11.7/1.2/1.2
........1....23.45..21.436.........6.7.4......896..........51.42....6.535..31..2.  ED=11.7/1.2/1.2
........1..2..3.....1.45......6...78.7....9.29.87..16..29.6.8..1.......968.....27  ED=11.7/1.2/1.2
........1....23.....4..5....1......64.6.7..8.87....4.9.689..71.1..7..9.89......64  ED=11.7/1.2/1.2
........1....23.....4..5....1......64.6.7.18.87....4.9.689..7..1..7..9.89......64  ED=11.7/1.2/1.2
........1.....2.34.25........6.57.8..7.2.....59.86......7.98...8.25.69..96.7.....  ED=11.7/1.2/1.2
........1.....2.34.25........6.57.8..782.....59..6......7.98...8.25.69..96.7.....  ED=11.7/1.2/1.2
........1.....2.34.25........6.78...79.62....8..5.97...6.......2.9.56.8.57.89....  ED=11.7/1.2/1.2
........1.....2.34.25........6.78...79.62....8..5.97...68......2.9.56.8.57..9....  ED=11.7/1.2/1.2
........1.....2.34.25........6.57.8..7.2.....59.86......7.9....8.25.69..96.7..8..  ED=11.7/1.2/1.2
........1.....2.34.25........6.7....78.62.9..9..5.87...6.......2.8.56.9.57.98....  ED=11.7/1.2/1.2
........1.....2.34.25........6..7..8.7928....5..6.9....529......6.57.8..7.8..69..  ED=11.7/1.2/1.2
........1.....2.34.25........6..7..8.79.2....58..69....52.98....6.75.8..7....69..  ED=11.7/1.2/1.2

11.6 (26c-31c):
Hidden Text: Show
Code: Select all
..............1..2.....345...4.6...5.754.8.2686....7...578...644.2.76.8.68....2.7  ED=11.6/1.2/1.2
..............1..2.....345...4.6...5.754.8.2686....74..578...6.4.2.76.8.68....2.7  ED=11.6/1.2/1.2
........1.....2....23.....4..5.26....367.5.8.27.38.5...57.68...38.27.6.56......7.  ED=11.6/1.2/1.2
........1....23.....2145.....6...27..78...1.992.....68..78..69..89.....261.2..8.7  ED=11.6/1.2/1.2
.......12......345....13.....617.....783.9.6191...8....89......1.769.8..63.8.7...  ED=11.6/1.2/1.2
.......12......345....13.....617.....783.9..191..68....89......1.769.8..63.8.7...  ED=11.6/1.2/1.2
........1.....2345.23........2.67...6.893.2..97...86....67.....28...9...3.7.86.92  ED=11.6/1.2/1.2
........1.....2.34.25.....6..789.2...58.26...29.5.76...8.7.....56...9...7.9.85..2  ED=11.6/1.2/1.2
........1....23.....2145.....6...27..78.6.1.992......8..78..69..89.....261.2..8.7  ED=11.6/1.2/1.2
........1....23.....2145.....6....27.78...91.92....8.6..78...69.89...1..61.2..78.  ED=11.6/1.2/1.2
.......12......345....13.....6..7....7839..6191..8......76.98...89.31...63.87....  ED=11.6/1.2/1.2
........1.....2345.23.......3..67...68.93.2..9.7..86...6.7.....2.8..9...37..86.92  ED=11.6/1.2/1.2
........1.....2345.23.......3..67...68.93.2..9.72.86...6.7.....2.8..9...37..86.9.  ED=11.6/1.2/1.2
........1....23.....2145.....6....27.78.6291.9.....8....78...69.89...1.261....78.  ED=11.6/1.2/1.2
........1....23.....2145.....6....27.78.6291.9.....8....78...69.89...1..61.2..78.  ED=11.6/1.2/1.2
........1....23.....2145.....6....27.78.6.91.9.....8...89...1..2.78...6961.2..78.  ED=11.6/1.2/1.2
........1....23......145.....6....27.78.6291.92....8....78...69.89...1.261....78.  ED=11.6/1.2/1.2
........1....23......145.....6....27.78.6.91.92....8...89...1..2.78...6961.2..78.  ED=11.6/1.2/1.2
........1....23......145.....6....27.78.6.91.92....8....78...69.89...1.261.2..78.  ED=11.6/1.2/1.2
........1....23.....2145.....6....27.78..291.9.....8.6..78...69.89...1..61.2..78.  ED=11.6/1.2/1.2
.......12......345....13.....6..7....7839...191..86.....76.98...89.31...63.87....  ED=11.6/1.2/1.2
........1....23.....2145.....6....27.78.6.91.92....8....78...69.89...1..61.2..78.  ED=11.6/1.2/1.2
........1....23......145.....6....27.78..291.92....8.6..78...69.89...1.261....78.  ED=11.6/1.2/1.2
........1....23.....2145.....6....27.78..291.9.....8.6..78...69.89...1.261....78.  ED=11.6/1.2/1.2
........1....23......145.....6....27.78...91.92....8.6.89...1..2.78...6961.2..78.  ED=11.6/1.2/1.2
........1....23.....2145.....6....27.78...91.9.....8.6.89...1..2.78...6961.2..78.  ED=11.6/1.2/1.2
........1....23......145.....6....27.78...91.92....8.6..78...69.89...1.261.2..78.  ED=11.6/1.2/1.2
........1.....2.34.25.....6..789.6...58.26...69.5.72...8.7.....56...9...7.9.85..2  ED=11.6/1.2/1.2
........1.......23....45..6..7.58....9.4.6...84.79...5.746.95..56..84...9.8.7.6..  ED=11.6/1.2/1.2
........1......234.....2.56..5..7....7859.6..92.6.85...6925.....8..76...7.28.9...  ED=11.6/1.2/1.2
.......12......345....14.....6.7.8...781.9...94...6....89.41...4.769..8.61.8.7...  ED=11.6/1.2/1.2
.......12......345....14.....6.7.8...781.9...94..86....89.41...4.769..8.61...7...  ED=11.6/1.2/1.2
.......12......345.....3..6.1327....28.9.....7.9.38....7189.2..83..1....9.2..71..  ED=11.6/1.2/1.2
........1.......23....45..6..147.....54.891..87...19...987.....4.7.58...51.9.4...  ED=11.6/1.2/1.2
........1.....2.34.23........523.....6..57.8.3.76.8....32.765..7..82....8.6..57..  ED=11.6/1.2/1.2
........1.....2.34.23........523.....6..57.8.3.76.8....32.765.87...2....8.6..57..  ED=11.6/1.2/1.2
........1.......23....45..6..1..7....45.891..97.41.8...897.....41.85....5.7.94...  ED=11.6/1.2/1.2
........1.....2.34.23........523.....6..57.8.3.76.8....32.765...5.82....8.6..57..  ED=11.6/1.2/1.2
.......12......345....13.....6.7.....783.9.6191...8.....769.8...89..1...63.8.7...  ED=11.6/1.2/1.2
........1.....2....23.....4.35.67.8.26..3.7..8..2.5....765.8...38.62.5.75......6.  ED=11.6/1.2/1.2
........1....23.....2145.....6...27..78...1.99......68.89......2.78..69.61.2..8.7  ED=11.6/1.2/1.2
........1....23.....2145.....6....7..78.621.992......8..78..69..89.....261....8.7  ED=11.6/1.2/1.2
........1....23.....2145.....6....7..78..21.992.....68..78..69..89.....261....8.7  ED=11.6/1.2/1.2
.......12......345....13.....6.7.....783.9..191..68.....769.8...89..1...63.8.7...  ED=11.6/1.2/1.2
........1.....2345.23..........67...6.893.2..97.2.86....67.....28...9...3.7.86.9.  ED=11.6/1.2/1.2
........1.......23....45..6..7.58....9.4.6...84.79...5.74..96..56..84...9.8.7.5..  ED=11.6/1.2/1.2
........1......234....25.....65.7....7829..6.95..8.....89......5.76.98..62.87.5..  ED=11.6/1.2/1.2
........1.......23....45..6..7.58....954.6...84.79.....74..96..56..84...9.8.7.5..  ED=11.6/1.2/1.2
........1....23.....2145.....6...27..78.621.99.......8.89......2.78..69.61....8.7  ED=11.6/1.2/1.2
........1....23.....2145.....6...27..78.621.99.......8..78..69..89.....261....8.7  ED=11.6/1.2/1.2
........1....23.....2145.....6...27..78.6.1.99.......8.89......2.78..69.61.2..8.7  ED=11.6/1.2/1.2
........1....23.....2145.....6...27..78..21.99......68.89......2.78..69.61....8.7  ED=11.6/1.2/1.2
........1....23.....2145.....6...27..78..21.99......68..78..69..89.....261....8.7  ED=11.6/1.2/1.2
........1.....2.34.23...5....623.....7..68.5.3.87.5....32.87....6.52....5.7..68..  ED=11.6/1.2/1.2
........1.......23....45..6..7..8....954.6...84.79.....746.95..56..84...9.8.7.6..  ED=11.6/1.2/1.2
........1......234....25.....657.....782.9.6.95...8.....769.8...89..2...62.8.75..  ED=11.6/1.2/1.2
........1......234....25.....6.7.....782.9.6595...8.....769.8...89..2...62.8.75..  ED=11.6/1.2/1.2
........1......234....25.....6.7.....782.9.6.95...8.....769.8...89.52...62.8.75..  ED=11.6/1.2/1.2
........1......234....25.....6.7.....782.9..595..68.....769.8...89..2...62.8.75..  ED=11.6/1.2/1.2
........1.......23....45..6..6.57....5869.4..97.4.86...4956.....8..7....7.58.9...  ED=11.6/1.2/1.2
........1......234.....2.5..12.6....6.7.28..998.7......6187....7.9..61..82..19...  ED=11.6/1.2/1.2
........1......234.....2.5...6.7.....2189....87.2.6..9.1876....6.21.9...79...81..  ED=11.6/1.2/1.2
........1....23.....41.5.....6.7..48.87...91.9.....6...79...1.44.87...6961....87.  ED=11.6/1.2/1.2
........1......234.....2.5...6.7.....8925....72.6.8.9..6758....8.29.65..95...7...  ED=11.6/1.2/1.2
........1......234.....2.5...6.78....9.25....72.6.9.8..6759....85...7...9.28.65..  ED=11.6/1.2/1.2
........1....23.....41.5.....6.7..48.87...91.94....6.7..87...69.79...1.461....8..  ED=11.6/1.2/1.2
........1....23.....41.5.....6.7..48.87...91.94....6....87...69.79...1.461....87.  ED=11.6/1.2/1.2
........1....23.....41.5.....6.7..48.87...91.9.....6.7.79...1.44.87...6961....8..  ED=11.6/1.2/1.2
........1......234.....2.5...6.7.....2189....87.2.6..9.1876.9..6.21.....79...81..  ED=11.6/1.2/1.2
........1......234.....2.5...5..6....6758.9..82.9.75...7..6.....9825....6.27.8.9.  ED=11.6/1.2/1.2
.......12.....3..4..3....5...6.784...4.3.9...98.64.7...39.86..776.43....8..9.....  ED=11.6/1.2/1.2
.......12.....3..4..3....5...6.5.....783.95..95.68.7...89.36.7.53.79....6..8.....  ED=11.6/1.2/1.2
........1......234....25.....6..7.8..7859....92..68....89.52...2.76..8..65..7.9..  ED=11.6/1.2/1.2
........1......234....25.....6..7.8..7859....92..68....8..52...2.76.98..65..7.9..  ED=11.6/1.2/1.2
........1......234....25..6..5.67....862.9...72..8.....579.86...9..7....8.265.9..  ED=11.6/1.2/1.2
........1......234....25..6..5.67....862.9...72.58.....579.86...9..7....8.26..9..  ED=11.6/1.2/1.2
........1......234....25..6..2.76....6859.....7...8.69.96.52...28.7.....7.5.8.9..  ED=11.6/1.2/1.2
........1......234....25..6..7..8.6..8659....92..76....69.52...2.87.....75..8.9..  ED=11.6/1.2/1.2
........1......234.....5..6..2.76....6859.....7.2.8.69.96.52...28.7.....7.5.8.9..  ED=11.6/1.2/1.2
........1......234.....5..6..7.28.6..8695....92.7.6....695.2...2.8.7....75.8..9..  ED=11.6/1.2/1.2
........1......234.....5..6..7.28....8695....92.7.6....695.2...2.8.7.6..75.8..9..  ED=11.6/1.2/1.2
........1......234.....5.....6.27.8..7895....92.6.8....895.2...2.7.6.8..65.7..9..  ED=11.6/1.2/1.2
........1......234.....5.....6.27.8..7895....92.6.8....8.5.2...2.7.698..65.7..9..  ED=11.6/1.2/1.2
........1......234....25.....5.67....8.2.9...72.58...6.579.86..69..7....8.26..9..  ED=11.6/1.2/1.2
........1......234....25.....5.67....8.2.9...72..8...6.579.86..69..7....8.265.9..  ED=11.6/1.2/1.2
........1......234....25.....5.......6.78..9..89.52.67.96..87..5.2.6....87.29....  ED=11.6/1.2/1.2
........1......234....25.....678..9..98.52.6.75........69..87..52..6....8.729....  ED=11.6/1.2/1.2
........1.......23....45..6..748.....89..17..45..9.1...157.4...8.4.59...97.8.....  ED=11.6/1.2/1.2
........1.......23....45..6..748.....89..17..45..9.1...157.4...8.4.59..79..8.....  ED=11.6/1.2/1.2
........1.......23....45..6..7..8....8941.7..54...91...1475....8.5.94..79..8.....  ED=11.6/1.2/1.2
........1.......23....45..6..7..8....8941.7..54...91...1475....8.5.94...97.8.....  ED=11.6/1.2/1.2
........1......234....25......67..8..56..9...78..52.9..25.9....6.728....89...76..  ED=11.6/1.2/1.2
........1......234....25......67..8...5..9....78.52.96.89..76..5.2.9....76.28....  ED=11.6/1.2/1.2
........1.....2.34....56.....1.65....672.18..25.87.1...72......18.......6.5.28..7  ED=11.6/1.2/1.2
........1.....2.34....56....17......2.8......56..27..8.25.8.1..17..65...8.62.17..  ED=11.6/1.2/1.2
........1......234....25.....678..9..98.52.6.75........69..87..52..9....8.726....  ED=11.6/1.2/1.2
........1......234....25.....6..7....7829..6.95..8......76.98...89.5....62.87.5..  ED=11.6/1.2/1.2
........1....23......145.....6..7.89.79...1.383.....6..678..93.31....6..9.8.....7  ED=11.6/1.2/1.2
........1.......23....45..6..6.57....5849.6..97...84...4956.....8..7....7.58.9...  ED=11.6/1.2/1.2
........1......234....25.....5.......6.78..9..89.52.67.96..87..5.2.9....87.26....  ED=11.6/1.2/1.2
........1......234....25.....5.......6.78..9..89.52.67.96..8...5.2.97...87.26....  ED=11.6/1.2/1.2
........1......234....25.....6.7..8..87.52.6995........68..7...52..89...7.926....  ED=11.6/1.2/1.2
........1.....2.34.56..........57....6589..2.7.82...9...2.65....8.92.7..6.97.8...  ED=11.6/1.2/1.2
........1.....2.34.56..........5.....6578..299.72...8...2.65....7.82.9..6.89.7...  ED=11.6/1.2/1.2
..............1.23....45..6..7.......327...8986.9....7.98..36..2.6....3837....9.2  ED=11.6/1.2/1.2
..............1.23....45..6..7....6..327...8986.9....7.98..3...2.6....3837....9.2  ED=11.6/1.2/1.2
........1......234....25.....678..9..98.52...75.6......69..87..52...6...8.729....  ED=11.6/1.2/1.2
........1.....2.34....56....17......2.8......56..27..8.26.8.1..17..65...8.52.17..  ED=11.6/1.2/1.2
........1.....2.34....56.....1.65....572.18..26.87.1...72......18.......6.5.28..7  ED=11.6/1.2/1.2
........1....23.....4..5.....6.7..48.87...91.9.....6.7.79...1.44.87...6.61.9..8..  ED=11.6/1.2/1.2
........1....23.....4..5.....6.7..48.87...91.9.....6.7.7....1.44.87...6961.9..8..  ED=11.6/1.2/1.2
........1....23.45..21.436.........6.7.4.....4896.........16.53...2.51..5..34..2.  ED=11.6/1.2/1.2
........1......234....25.....5..6....782.9...62.57..8..569.7...7.28..9..89..6....  ED=11.6/1.2/1.2
........1......234....25.....5..6....782.9...62..7..8..569.7...7.285.9..89..6....  ED=11.6/1.2/1.2
........1......234....25.....5.67....8.2.9...72.58..6..579.8...69..7....8.26..9..  ED=11.6/1.2/1.2
........1......234....25.....5.67....8.2.9...72..8..6..579.8...69..7....8.265.9..  ED=11.6/1.2/1.2
........1....23.....4..5.....6.7..48.87...91.94....6.7..87...69.7....1.461.9..8..  ED=11.6/1.2/1.2
........1....23.....4..5.....6.7..48.87...91.94....6.7..87...6..79...1.461.9..8..  ED=11.6/1.2/1.2
........1....23.45..21.436.........6.7.4.....4896..........51..2...16.535..34..2.  ED=11.6/1.2/1.2
........1......234....25.....5..6....782.9...62.57..8..569.78...9..6....7.28..9..  ED=11.6/1.2/1.2
........1......234....25.....5..6....782.9...62..7..8..569.78...9..6....7.285.9..  ED=11.6/1.2/1.2
........1......234....25.....2.6.....6...7.89.8759.....98.52...27.6.....6.587.9..  ED=11.6/1.2/1.2
........1......234....25.....6..7.89.785.....92..6.....8..52...2.76.9...65.87.9..  ED=11.6/1.2/1.2
........1......234....25.....6..7.8..7859....92..6.....89.52...2.76.....65.87.9..  ED=11.6/1.2/1.2
........1......234....25.....6..7.8..7859....92..6.....8..52...2.76.9...65.87.9..  ED=11.6/1.2/1.2
........1......234....25.....2.67....6...8..9.7859.....97.52...28.6..7..6.5.8.9..  ED=11.6/1.2/1.2
........1......234....25.....6..7..8.795.....82..69....9..52...2.76.89..65..7.8..  ED=11.6/1.2/1.2
........1......234.....5.....2.6.....6.2.7.89.8759.....98.52...27.6.....6.587.9..  ED=11.6/1.2/1.2
........1......234.....5.....6.27.89.78.5....92.6......8.5.2...2.7.69...65.78.9..  ED=11.6/1.2/1.2
........1......234.....5.....6.27.8..7895....92.6......895.2...2.7.6....65.78.9..  ED=11.6/1.2/1.2
........1......234.....5.....6.27.8..7895....92.6......8.5.2...2.7.69...65.78.9..  ED=11.6/1.2/1.2
........1......234.....5.....2.67....6.2.8..9.7859.....97.52...28.6..7..6.5.8.9..  ED=11.6/1.2/1.2
........1......234.....5.....6.27..8.79.5....82.6.9....9.5.2...2.7.689..65.7..8..  ED=11.6/1.2/1.2
........1......234....25.....5..6....782.9...62.57...8.569.78...9..6....7.28..9..  ED=11.6/1.2/1.2
........1......234....25.....5..6....782.9...62..7...8.569.78...9..6....7.285.9..  ED=11.6/1.2/1.2
........1.....2345.23.........26.....3.7.8.9.6.8..9.7...7.86.....93.....28.9.76..  ED=11.6/1.2/1.2
........1.....2345.23..........2.....3..67.899.7..8.6...67.9.....8.3....27..869..  ED=11.6/1.2/1.2
........1......234....25.....678..9..98..2.6.75........695.87..52..6....8.7.9....  ED=11.6/1.2/1.2
........1......234....25.....5.......6.78..9..89..2.67.965.87..5.2.6....87..9....  ED=11.6/1.2/1.2
........1.....2.34.23........5.3......67.8...27..56.8..3..675.86...2....8.7..56..  ED=11.6/1.2/1.2
........1.....2.34.23........5.3......67.8...27..56.8..3..675..6..82....8.7..56..  ED=11.6/1.2/1.2
........1.....2.34.23........5.3......67.8...27..56.8..3..675...5.82....8.7..56..  ED=11.6/1.2/1.2
........1.....2345.23........6.3......78.9...28..679...3..78.6..6.92....9.8....7.  ED=11.6/1.2/1.2
........1.....2345.23........6.3......78.9...28..679...3..78.69.6..2....9.8....7.  ED=11.6/1.2/1.2
........1......234....25......67..8..56..9...78...2.9..25.9....6.7.8....89.5.76..  ED=11.6/1.2/1.2
........1......234....25......67..8...5..9....78..2.96.895.76..5.2.9....76..8....  ED=11.6/1.2/1.2
........1.......2.....13.4...5..61...6.75...87.3.8.....36..57..51..3..868.71.....  ED=11.6/1.2/1.2
........1.......2.....13.4...53.61...6.75...87.3.8.....36..57..51.....868.71.....  ED=11.6/1.2/1.2
........1.......2.....13.4...5..61...6.75...87.3.81....36..57..51..3..868.7......  ED=11.6/1.2/1.2
........1.......2.....13.4...53.61...6.75...87.3.81....36..57..51.....868.7......  ED=11.6/1.2/1.2
........1.......2.....13.4...51......367.85..81.....76.6.58...7.783.61..5.3......  ED=11.6/1.2/1.2
........1.......2.....13.4...5.......367.85..81.....76.6.58...7.783.61..5.3..1...  ED=11.6/1.2/1.2
........1.......2.....13.4...5.......367.85..81..3..76.6.58...7.78..61..5.3..1...  ED=11.6/1.2/1.2
........1.......2.....13.4...51......367.85..81..3..76.6.58...7.78..61..5.3......  ED=11.6/1.2/1.2
........1.......2......3..4..5.3..6..728.....63.5.7....83.7...625...6...7.628.5.3  ED=11.6/1.2/1.2
........1.......2......3..4..5....6..72.8....63..57....837....625..36...7.682.5.3  ED=11.6/1.2/1.2
........1.......2......3..4..2..5....5627.8.373..682...8..3..5.3.58.6...62.7.....  ED=11.6/1.2/1.2
........1.......2......3..4..2..5....5627.8.373..68..5.8..3..5.3.58.6...62.7.....  ED=11.6/1.2/1.2
........1.......2......3..4..2.35....5672.8.373.6.82...8.....5.3.5.86...62..7....  ED=11.6/1.2/1.2
........1.......2......3..4..2.35....5672.8.373.6.8..5.8.....5.3.5.86...62..7....  ED=11.6/1.2/1.2
........1.......2......3..4..2..5....5627.8.373..682...8..3..5.3..8.6...62.75....  ED=11.6/1.2/1.2
........1.......2......3..4..2.35....5672.8.373.6.82...8.....5.3...86...62.57....  ED=11.6/1.2/1.2
........1.......2......3..4..3.56.7..5.....8..6287.....376..2..2.5.38...68.72.5..  ED=11.6/1.2/1.2
........1.......2......3..4..5....6..27.8....63..57.8..837..2..25..36...7.682.5..  ED=11.6/1.2/1.2
........1.......2......3..4..5....6..27.8....63..57.8..837....625..36...7.682.5..  ED=11.6/1.2/1.2
........1.......2......3..4..3.5.2...5627.8..82.3.6....78....6.2.576....3..8.5.7.  ED=11.6/1.2/1.2
........1.......2......3..4..3.5.2...5627.8..82.3.6....78....6.2.57.....36.8.5.7.  ED=11.6/1.2/1.2
........1.......2......3..4..3.5...6.5627.8..82.3.6....78....6.2.57.....36.8.5.7.  ED=11.6/1.2/1.2
........1.......2......3..4..3.56.7..5.3...8..6287.....376..2..2.5..8...68.72.5..  ED=11.6/1.2/1.2
........1.......2......3..4..5.3..6..278.....63.5.7.8..83.7.2..25...6...7.628.5..  ED=11.6/1.2/1.2
........1.......2......3..4..5.3..6..278.....63.5.7.8..83.7...625...6...7.628.5..  ED=11.6/1.2/1.2
........1.......2......3..4..3.5.2...5627.8..82...6....78.3..6.2.576....3..8.5.7.  ED=11.6/1.2/1.2
........1.......2......3..4..3.5.2...5627.8..82...6....78.3..6.2.57.....36.8.5.7.  ED=11.6/1.2/1.2
........1.......2......3..4..3.5...6.5627.8..82...6....78.3..6.2.57.....36.8.5.7.  ED=11.6/1.2/1.2
........1.......2......3..4..2.35....5672.8..73.6.82...8.....5.26.57....3...86.7.  ED=11.6/1.2/1.2
........1.......2......3..4..2.35....5672.8..73.6.82...8.....5.26..7....3.5.86.7.  ED=11.6/1.2/1.2
........1.......2......3..4..2.35....5672.8..73.6.8..5.8.....5.26..7....3.5.86.7.  ED=11.6/1.2/1.2
........1.......2......3..4..2.35....3.6.72...5682.7...78....5.26.58....3...76.8.  ED=11.6/1.2/1.2
........1.......2......3..4..2.35....3.6.72...5682.7...78....5.26..8....3.5.76.8.  ED=11.6/1.2/1.2
........1.......2......3..4..2.35....3.6.7..5.5682.7...78....5.26..8....3.5.76.8.  ED=11.6/1.2/1.2
........1.......2......3..4..2..5....5627.8..73..682...8..3..5.26.75....3..8.6.7.  ED=11.6/1.2/1.2
........1.......2......3..4..2..5....5627.8..73..682...8..3..5.26.7.....3.58.6.7.  ED=11.6/1.2/1.2
........1.......2......3..4..2..5....5627.8..73..68..5.8..3..5.26.7.....3.58.6.7.  ED=11.6/1.2/1.2
........1.......2......3..4..2..5....3..672...5628.7...78.3..5.26.85....3..7.6.8.  ED=11.6/1.2/1.2
........1.......2......3..4..2..5....3..672...5628.7...78.3..5.26.8.....3.57.6.8.  ED=11.6/1.2/1.2
........1.......2......3..4..2..5....3..67..5.5628.7...78.3..5.26.8.....3.57.6.8.  ED=11.6/1.2/1.2
........1.....2.34.35........6......7.3..58..82...67...7825..6.3.26.7...5...38...  ED=11.6/1.2/1.2
........1.....2.34.35..........36....7625..8.3.28.7....58......62...87..7.3..56..  ED=11.6/1.2/1.2
........1.......2.....34..5...6.7..4..2.4......682.7.3.43.76.8.26.38....7.8....3.  ED=11.6/1.2/1.2
........1.......2.....34..5...6.7..4..2........682.7.3.43.76.8.26.38....7.84...3.  ED=11.6/1.2/1.2
........1.......2.....34..5...6..2.3..67.28.4.8...3....34.68.7.26.4.7...8.7....4.  ED=11.6/1.2/1.2
........1.......2.....34..5...6..2.3..67.28.4.8........34.68.7.26.4.7...8.73...4.  ED=11.6/1.2/1.2
........1.......2.....34..5...6....3..67.28.4.82..3....34.68.7.26.4.7...8.7....4.  ED=11.6/1.2/1.2
........1.......2.....34..5...6....3..67.28.4.82.......34.68.7.26.4.7...8.73...4.  ED=11.6/1.2/1.2
........1.....2345.23..........2.....3..67.899.7..8.6...6.3......87.9...27..869..  ED=11.6/1.2/1.2
........1.....2.34....56..7..8.......52.68..916.9.5....9..2....28...19..5.6.8.1..  ED=11.6/1.2/1.2
........1.....2345.23.........26.....3.7.8.9.6.8..9.7...73.......9.86...28.9.76..  ED=11.6/1.2/1.2
........1......234....25.....5.......6.78..9..89..2.67.965.87..5.2.9....87..6....  ED=11.6/1.2/1.2
........1......234....25.....5.......6.78..9..89..2.67.965.8...5.2.97...87..6....  ED=11.6/1.2/1.2
........1......234....25.....678..9..98..2.6.75........695.87..52..9....8.7.6....  ED=11.6/1.2/1.2
........1......234....25.....6.7..8..87..2.6995........685.7...52..89...7.9.6....  ED=11.6/1.2/1.2
........1.....2.34....56..7..8.......29..18..65..9.1...168.5...2.5.69..89..2.....  ED=11.6/1.2/1.2
........1.....2.34.56..........57....6.89..2.7.82...9...2.65.....97.8...58.92.7..  ED=11.6/1.2/1.2
........1.....2.34.56..........5.....6.78..299.72...8...2.65.....89.7...57.82.9..  ED=11.6/1.2/1.2
..............1.23....45..6..7.......18..97..45..8.9...957.4...1.4.58...87.1....5  ED=11.6/1.2/1.2
..............1.23....45..6..7....6..687....923.9...8..93...7.26.2....3887...3...  ED=11.6/1.2/1.2
........1.....2.34.56..........57....6582..9.7.89...2...2.65....8..9.7..6.97.8...  ED=11.6/1.2/1.2
........1.....2.34.56..........57....658...9.7.89...2...2.65....8.29.7..6.97.8...  ED=11.6/1.2/1.2
........1.....2.34.56..........5.....6572..899.78...2...2.65....7..8.9..6.89.7...  ED=11.6/1.2/1.2
........1.....2.34.56..........5.....657...899.78...2...2.65....7.28.9..6.89.7...  ED=11.6/1.2/1.2
..............1.23....45..6..1.57....871....459.8.4.....9.......45.789..71...98..  ED=11.6/1.2/1.2
..............1.23....45..6..7.......237...8986.9....7.98..26..2.6....3837....9..  ED=11.6/1.2/1.2
..............1.23....45..6..1.57....87.....459.8.4.....9.1.....45.789..71...98..  ED=11.6/1.2/1.2
..............1.23....45..6..7....6..237...8986.9....7.98..2...2.6....3837....9..  ED=11.6/1.2/1.2
........1.....2.34.23...5....6.3......78.5...28..67.5..3..78....6.52....5.8..67..  ED=11.6/1.2/1.2
........1.....2345.23........6.78....9.3.....27.9.68...3.6.7...8.7..9.6.9..28....  ED=11.6/1.2/1.2
........1......234....25.....678..9..98..2...75.6......695.87..52...6...8.7.9....  ED=11.6/1.2/1.2
........1....23.....4..5.....6....78.9....1.471.8..69...7.9..46.69...81.84....7..  ED=11.6/1.2/1.2
........1....23.....4..5.....6....7..89...1.471.9..68...7.89.46.4....7...68...91.  ED=11.6/1.2/1.2
........1....23.....4..5.....6....7..89...1.471.9..68...7.8..46.68...91.94....7..  ED=11.6/1.2/1.2
........1....23.....4..5.....6....78.9....1.471.8..69...7.98.46.69....1.84....7..  ED=11.6/1.2/1.2
........1....23.....4..5.....6.7..48.87...91.9.....6...7....1.44.8....6961.9..87.  ED=11.6/1.2/1.2
........1....23.....4..5.....6.7..48.87...91.9.....6...79...1.44.8....6.61.9..87.  ED=11.6/1.2/1.2
........1....23.....4..5..........6...6.784.9.97...18..78....144.9...6..61.8..79.  ED=11.6/1.2/1.2
........1....23.....4..5.....6.78.49.8....6..9.7....1..49....6816.8..97.7.....1.4  ED=11.6/1.2/1.2
........1.....2.34.35..........36....6725..8.3.28.7....58......62...87..7.3..56..  ED=11.6/1.2/1.2
........1.....2.34.35........6......7.3..58..82...67...8725..6.3.26.7...5...38...  ED=11.6/1.2/1.2
........1....23.45..21.436.........6.7.4......896..........51.42...16.535..3...2.  ED=11.6/1.2/1.2
........1....23.....4..5.....67...8..7....9.491.8...76.49.8.61.1.......986.....47  ED=11.6/1.2/1.2
........1....23.....4..5.....67..18..7....9.491.8...76.49.8.6..1.......986.....47  ED=11.6/1.2/1.2
........1..2..3.....1.45.....67..18..7....9.29..8...76.29.8.6..1.......986.....27  ED=11.6/1.2/1.2
........1.....2.34.25........6..7.8..7.29....59.6.8....528.....7.9..6...86.57.9..  ED=11.6/1.2/1.2
........1.....2.34.25........6..7.89.7.29....5..6.8....528.....7.9..6...86.57.9..  ED=11.6/1.2/1.2
........1.....2.34.25........6..7.89.7..2....59..68....52.89...7....6...86.75.9..  ED=11.6/1.2/1.2
........1.....2.34.25........6..7.8..7.29....59.6.8....528.9...7....6...86.57.9..  ED=11.6/1.2/1.2
........1.......2......3..4..3.56....2678.....5.....7...5.3.....386..2.767.82.5.3  ED=11.6/1.2/1.2
........1.......2......3..4..3.56....2678.....5.3...7...5..7....386..2..67.82.5.3  ED=11.6/1.2/1.2
........1.......2......3..4..5....6..72.8....63..57....5..36....837..2..7.682.5.3  ED=11.6/1.2/1.2
........1.......2......3..4..3.56....2678.....5.....7...5.37....386..2..67.82.5.3  ED=11.6/1.2/1.2
........1.......2......3..4..2.3.....5672.8.373.6.8..5.8.....5.3...86...62.57....  ED=11.6/1.2/1.2
........1.......2......3..4..2.......5627.8.373..68..5.8..3..5.3..8.6...62.75....  ED=11.6/1.2/1.2
........1.......2......3..4..3.56....2678.....5.....7..386....72.5.3....67.82.5.3  ED=11.6/1.2/1.2
........1.......2......3..4..2.3.....5672.8..73.6.8..5.8.....5.26.57....3...86.7.  ED=11.6/1.2/1.2
........1.......2......3..4..3.56....2678.....5.3...7...5.......386..2.767.82.5.3  ED=11.6/1.2/1.2
........1.......2......3..4..5..6....37.8.2..86.27.5.3.287......5..3..6.6.35.8...  ED=11.6/1.2/1.2
........1.......2......3..4..3.56....2678.....5.3...7..386....72.5......67.82.5.3  ED=11.6/1.2/1.2
........1.......2......3..4..3.56.7..5.....8..6287.....376....82.5.3....68.72.5..  ED=11.6/1.2/1.2
........1.......2......3..4..3.5...6.5627.8..82.3......78....6.2.576....3..8.5.7.  ED=11.6/1.2/1.2
........1.......2......3..4..3.56.7..5.3...8..6287.....376....82.5......68.72.5..  ED=11.6/1.2/1.2
........1.......2......3..4..3.5...6.5627.8..82........78.3..6.2.576....3..8.5.7.  ED=11.6/1.2/1.2
........1.......2......3..4..2.3.....3.5.6..7.7582.6...68....7.25.78....3...65.8.  ED=11.6/1.2/1.2
........1.......2......3..4..2.......5627.8..73..68..5.8..3..5.26.75....3..8.6.7.  ED=11.6/1.2/1.2
........1.......2......3..4..2.......3..56..7.7528.6...68.3..7.25.87....3..6.5.8.  ED=11.6/1.2/1.2
........1.......2.....34..5...6..2.3..67.28...8..43....34.68.7.26...7...8.7....4.  ED=11.6/1.2/1.2
........1.......2.....34..5...6..2.3..67.28...8..4.....34.68.7.26...7...8.73...4.  ED=11.6/1.2/1.2
........1.......2.....34..5...6.7..4..2.43.....682.7...43.76.8.26..8....7.8....3.  ED=11.6/1.2/1.2
........1.......2.....34..5...6.7..4..2..3.....682.7...43.76.8.26..8....7.84...3.  ED=11.6/1.2/1.2
........1.......2.....34..5...6....3..67.28...82.43....34.68.7.26...7...8.7....4.  ED=11.6/1.2/1.2
........1.......2.....34..5...6....3..67.28...82.4.....34.68.7.26...7...8.73...4.  ED=11.6/1.2/1.2
........1.....2.34.56..........57....6.82..9.7.89...2...2.65.....97.8...58..9.7..  ED=11.6/1.2/1.2
........1.....2.34.56..........57....6.8...9.7.89...2...2.65.....97.8...58.29.7..  ED=11.6/1.2/1.2
........1.....2345.36..........67.....382..9.78.9...2..2..3.....9.7.8...6.8.9.7..  ED=11.6/1.2/1.2
........1.....2345.36..........67.....38...9.78.9...2..2..3.....9.7.8...6.829.7..  ED=11.6/1.2/1.2
........1.....2.34....56..7..2.68.....82....516.9.5....9.......28...19..5.6.8.1..  ED=11.6/1.2/1.2
........1.....2.34....56..7..8.......29..18..65..9.1...168.....2.5.69...9..2....5  ED=11.6/1.2/1.2
..............1.23....45..6..1.57....871....459.8.4....45.7.9..71...98..8........  ED=11.6/1.2/1.2
..............1.23....45..6..7.......18..97..54..8.9...957.....1.4.58...87.1....4  ED=11.6/1.2/1.2
........1.....2.34....56..7..2.68.....8.....516.9.5....9..2....28...19..5.6.8.1..  ED=11.6/1.2/1.2
........1.....2.34....56..7..8.....5.52.68...16.9......9..2....28...19..5.6.8.1..  ED=11.6/1.2/1.2
..............1.23....45..6..1.57....87.....459.8.4....45.7.9..71...98..8...1....  ED=11.6/1.2/1.2
..............1.23....45..6..7....6..687....932.9...8..93...7..6.2....3887...2...  ED=11.6/1.2/1.2
........1.....2.34.56..........5.....6.72..899.78...2...2.65.....89.7...57..8.9..  ED=11.6/1.2/1.2
........1.....2.34.56..........5.....6.7...899.78...2...2.65.....89.7...57.28.9..  ED=11.6/1.2/1.2
........1....23....24....56.7.8.9.4.2.8......49..3..7..89..7...3....4...7..29.8..  ED=11.6/1.2/1.2
........1....23....24....56.7..3..8..8.9.7.4.2.9.......97..8...3....4...84.27.9..  ED=11.6/1.2/1.2
........1....23....24....56.7.8.9.4.2........49..3..78.89..7...3....4...7..29.8..  ED=11.6/1.2/1.2
........1....23....24....56.7..3..89.8.9.7.4.2.........97..8...3....4...84.27.9..  ED=11.6/1.2/1.2
........1.....2345.36..........6......372..8997.8...2..2..3.....8.9.7...6.7.8.9..  ED=11.6/1.2/1.2
........1.....2345.36..........6......37...8997.8...2..2..3.....8.9.7...6.728.9..  ED=11.6/1.2/1.2
..............1.23....45..6..1.57..8..7.....459.8.4....45.7.9..71...98..8...1....  ED=11.6/1.2/1.2
..............1.23....45..6..7.....4.41.57..895.8......8..1....17...98..4.5.7.9..  ED=11.6/1.2/1.2
..............1.23....45..6..1.57..8..71....459.8.4....45.7.9..71...98..8........  ED=11.6/1.2/1.2
..............1.23....45..6..7.......18..97..54..8.9...957.....1.4.58..78..1....4  ED=11.6/1.2/1.2


I haven't started work on this yet, but am finalizing a database scheme for tracking singles-expanded puzzles. Once that's done, I will likely only post expanded forms + info about number of minimals, clue count range for minimals, and SER range (if different from the SER of the expanded form). I am also going to work on setting up a website this week, where I will host the "official" database updates (both expanded and minimal).
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Re: The hardest sudokus (new thread)

Postby denis_berthier » Wed Mar 09, 2022 10:00 am

mith wrote:I haven't started work on this yet, but am finalizing a database scheme for tracking singles-expanded puzzles. Once that's done, I will likely only post expanded forms + info about number of minimals, clue count range for minimals, and SER range (if different from the SER of the expanded form).

Before you start creating the databases, could you post your full schemes so that we can make comments on what's possibly missing?
As shown by my stats (http://forum.enjoysudoku.com/relation-between-difficulty-and-number-of-candidates-t39836.html), candidates count after Singles (though not very predictive) is at least as interesting than clue count (for different reasons).
As I said before, I'm mostly interested in minlexed "expanded" forms, but I also need to be able to easily relate them to previously existing puzzles for which I've already computed the BpB classification.
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Re: The hardest sudokus (new thread)

Postby coloin » Wed Mar 09, 2022 7:12 pm

Maybe it would be easy to morph the entire collection [to the minlex solution grid] and then group all the puzzles from the same grid, its quite possible and likely that many of the original entries are related if they have the same solution grid ....... and maybe more are to be found... maybe mith has done this to an extent ...
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Re: The hardest sudokus (new thread)

Postby mith » Wed Mar 09, 2022 9:49 pm

If it has a sufficiently high rating, I have already singles-expanded and found all the minimals. The highest rating (max(ER,skfr_ER)) that hasn't been expanded at the moment is 11.2 (all 23c), and I just tweaked my script to go ahead and run through all of these before moving on. Still a very large number to process from the 11.0-11.1 range though (about 1.5 million).

I've thought about using the minlex solution form for comparison, but haven't tried to implement that yet. At this point probably the fastest thing to do would be to generate the singles-expanded form for all the remaining puzzles *without* minimizing, and then come back and run the minimizing on the expanded database. (If a minimal is marked as expanded, then I don't need to rerun the minimize step on the expanded form; I can just carry over the expanded flag.)

Anyway, when I do the separate expansion database (which I expect to take about a week), I'll be adding the minlex expanded form as a new column in the minimal databases, so it will be easy to cross-reference. And yes, Denis, I can post the schemas before I run anything.
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Re: The hardest sudokus (new thread)

Postby hendrik_monard » Thu Mar 10, 2022 9:24 am

There seems to be a tendency towards minlex for the future database.
I've not been able to integrate existing minlex algoritmes available on the internet in my script (VBA under MS Office). For skfr and SER i use exe-files found on the internet. However I found no exe version for minlex calculation. Has someone an idea how I could proceed?
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Postby 1to9only » Thu Mar 10, 2022 10:15 am

Snippets from previous posts:
mith wrote:Denis/Hendrik, I use the minlex from gsf: http://gsf.cococlyde.org/download/sudoku

mith wrote:I use sudoku-linux.i386-64. Complete documentation is in sudoku.html (download tab, sudoku will take you to google drive).

Command for minlex is ./sudoku-linux.i386-64 -f’%#mc’ [puzzle or input file]

It uses 0 for blanks, I use sed to convert to . format.

JPF wrote:hi Mith,

IIRC it may have some bugs and not always find the actual minlex grid but at least is consistent?

Yes that point was discussed here
Both gsf'program and dobrichev's gridchecker have the same bug: for some puzzles (not full grids) they don't give the minlex value.
But ... there are good reasons to believe that they give for any puzzles a canonalized form c ; i.e: c(P1)=c(P2) if and only if P1 and P2 are equivalent.

Note that gridchecker is much faster than gsf's.

In Windows I use sudoku.exe with this command:
Code: Select all
sudoku.exe -qFN -f%#mc puzzles.txt > minlex.txt
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Re: The hardest sudokus (new thread)

Postby coloin » Thu Mar 10, 2022 12:18 pm

The bug is in the minlexpuzzle determination.
AFAIK there is no bug in the puzzle-in-minlexgrid determination ....
Command is
Code: Select all
sudoku-64 -qFN -f%#0c 

[puzzle in minlexgrid], [labelling 0 to . with sed]

of course the puzzle in minlex solution grid morph is not satisfactory for human solvers !
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Re: The hardest sudokus (new thread)

Postby JPF » Thu Mar 10, 2022 1:02 pm

Right.
Take this 17 clue puzzle:
Code: Select all
........1.....2....34.............3.....3.45.2....6......4...1.67......28...7....

Then:
gsf-MinLex
Code: Select all
........1.....2....34.............3.....3.45.2....6......4...1.67......28...7....

Real MinLex
Code: Select all
........1.....1.23..4.5..........6......4....12..........2....6..7..8...8.5...4..
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Re: The hardest sudokus (new thread)

Postby mith » Thu Mar 10, 2022 8:11 pm

Big batch today, both 11.6 and 11.7 from the 26c-30c minimal range:
Hidden Text: Show
Code: Select all
........1......234.....2.56..7.86....9625....82.7.9....7269.5..65..28...9.8..7...  ED=11.7/1.2/1.2
.......12......345....13.....67.89...98.31...73.96.....6938..7.31..9....8.7..6...  ED=11.7/1.2/1.2
........1....23.....4.56....175..89.5......149..8..5.7.59...18.4.1.8.7.978.....4.  ED=11.7/1.2/1.2
.......12......345....13.....67.89...98.31...73.96.....69.8..7.31..9....8.71.6...  ED=11.7/1.2/1.2
........1......234.....2.5...5.26....2789.5..96...78...7..6.....8925....6.27.9.8.  ED=11.7/1.2/1.2
........1......234.....2.5...6.78....9825....72.6.9....62.9.5..85..27...9.7..68..  ED=11.7/1.2/1.2
........1......234.....2.5...5.26....2789.5..96...78...7..68....8925....6.27.9...  ED=11.7/1.2/1.2
........1......234.....2.56..7.86....9.25....82.7.9.6..72.9.5..65..28...9.8..7...  ED=11.7/1.2/1.2
........1......234.....2.5...6.78....9.25....72.6.9.8..6289.5..85..27...9.7..6...  ED=11.7/1.2/1.2
........1......234.....2.5...6.7.....8925....72.6.8.9..6298.5..8.7..6...95..27...  ED=11.7/1.2/1.2
........1......234.....2.5...6.78....9.25....72.6.9.8..62.9.5..85..27...9.7..68..  ED=11.7/1.2/1.2
........1......234....25..6..5.67....862.9...72..8.....526.89...9..72...8.7.5.6..  ED=11.7/1.2/1.2
........1......234....25..6..5.67....862.9...72.58.....526.89...9..72...8.7...6..  ED=11.7/1.2/1.2
........1......234....25..6..5.67....862.9...72.58.....52..89..69..72...8.7...6..  ED=11.7/1.2/1.2
........1......234....25..6..5.67....862.9...72..8.....52..89..69..72...8.7.5.6..  ED=11.7/1.2/1.2
.......12......3.4.....5..6..6.51....75.8..9.81.7.9....91.76...6.85.....7..1.86.9  ED=11.7/1.2/1.2
.......12......3.4....15..6..6.51....75.8..9.81.7.9....91.76...6.85.....7....86.9  ED=11.7/1.2/1.2
.......12......3.4.....5..6..6.51....75.8..9.81.7.9....91.76...6.859....7..1.86..  ED=11.7/1.2/1.2
.......12......3.4....15..6..6.51....75.8..9.81.7.9....91.76...6.859....7....86..  ED=11.7/1.2/1.2
........1....23......4.5.....6....12.71.8..9.92..6.7.8.82....766.9...18.7..6..2.9  ED=11.7/1.2/1.2
........1.....2.34.25.......52.6....67.85.9..8.92.7....869.....2.75.8.6.59..7....  ED=11.7/1.2/1.2
........1.....2345.23.......32.6....67.83.9..8.92.7....869.....2.7..8.6.39..7....  ED=11.7/1.2/1.2
........1....23.....4..5.....6.78.9..1.....869.....4.7.497..81.16.8..7.97.8....64  ED=11.7/1.2/1.2
........1.....2.34.25.......52.67...68.95.7..9..2.8....967.....2.85.9.6.57..8....  ED=11.7/1.2/1.2
........1.....2345.23.......32.67...68.93.7..9..2.8....967.....2.8..9.6.37..8....  ED=11.7/1.2/1.2
........1....23.....4..5.....6.7819..1.....869.....4.7.497..8..16.8..7.97.8....64  ED=11.7/1.2/1.2
........1.....2345.23.......32.67...68.93.7..9..2.8....96......2.8..9.6737..8....  ED=11.7/1.2/1.2
........1.....2345.23.......32.6....67.83.9..8.92.7....869.....2.7..8.693...7....  ED=11.7/1.2/1.2
........1..2..3.....1.45..........67..7.8619..9....2.8.86....722.98..6..71.6..8.9  ED=11.7/1.2/1.2
........1..2..3.....1.45.....6.78.9..1.....869.....2.7.297..81..6.8..7.97.8....62  ED=11.7/1.2/1.2
........1.....2.34.25.......52.67...68.95.7..9..2.8....96......2.85.9.6757..8....  ED=11.7/1.2/1.2
........1.....2.34.25.......52.6....67.85.9..8.92.7....869.....2.75.8.695...7....  ED=11.7/1.2/1.2
........1..2..3.....1245..........67..6.7819..9....2.8.78....121.9...6..62.8..7.9  ED=11.7/1.2/1.2
........1..2..3.....1245.....6.7819..8.....679.....2...19...68.26.8..7.97......12  ED=11.7/1.2/1.2
........1.....2345.23.......32.67...68.93.7..9..2.8....69......2.8..9.6737..8....  ED=11.7/1.2/1.2
........1.....2345.23.......32.6....67.83.9..8.92.7....689.....2.7..8.693...7....  ED=11.7/1.2/1.2
........1..2..3.....1245.....6.7.18..8....2.99......67.79....121.8...6..62.9..7.8  ED=11.7/1.2/1.2
........1..2..3.....1245.....6.7.18..8....2.99......67.7.....121.8...69.62.9..7.8  ED=11.7/1.2/1.2
........1.....2345.23.......32.67...68.93.7..9..2.8....697.....2.8..9.6.37..8....  ED=11.7/1.2/1.2
........1.....2345.23.......32.6....67.83.9..8.92.7....689.....2.7..8.6.39..7....  ED=11.7/1.2/1.2
........1..2..3.....1.45..........67..7.8619..9....2.8.86....7221.6..8.97.98..6..  ED=11.7/1.2/1.2
........1..2..3.....1.45.....6.78.9..1.....869.....2.7.2.8..7.9.697..81.7.8....62  ED=11.7/1.2/1.2
........1.....2.34.25.......52.67...68.95.7..9..2.8....69......2.85.9.6757..8....  ED=11.7/1.2/1.2
........1.....2.34.25.......52.6....67.85.9..8.92.7....689.....2.75.8.695...7....  ED=11.7/1.2/1.2
........1....23.....4..5.....6.7819..1.....869.....4.7.697..8..14.8..7.97.8....64  ED=11.7/1.2/1.2
........1....23.....4..5.....6.78.9..1.....869.....4.7.697..81.14.8..7.97.8....64  ED=11.7/1.2/1.2
........1.....2.34.25.......52.67...68.95.7..9..2.8....697.....2.85.9.6.57..8....  ED=11.7/1.2/1.2
........1.....2.34.25.......52.6....67.85.9..8.92.7....689.....2.75.8.6.59..7....  ED=11.7/1.2/1.2
........1......234.....2.5...6.789...271.....98.6..1...79.6....21.89....6.82.7...  ED=11.7/1.2/1.2
........1......234....25.....5..6....782.9...62..7..8..528.79...9..62...7.6.5.8..  ED=11.7/1.2/1.2
........1......234....25.....5..6....782.9...62.57..8..528.79...9..62...7.6...8..  ED=11.7/1.2/1.2
........1......234.....2.5...6.7.....2189....87.2.6..9.987..1..6.21.....7...689..  ED=11.7/1.2/1.2
.......12.....3..4..3....5...6.789...375.....98.6..5...7..6....35.89....6.83.7.9.  ED=11.7/1.2/1.2
........1......234.....2.5...6.7.1...7.8.69...82.19....987.....2.196....76..28...  ED=11.7/1.2/1.2
.......12......345.....3..6..7.8.1...8.9.7....93.12....298.....3.1.7....87..39.2.  ED=11.7/1.2/1.2
........1......234.....2.5...6.78....271.9...98.6..1...79.6....21.8.....6.82.7..9  ED=11.7/1.2/1.2
........1......234.....2.5...6.7.....2189....87.2.6..9.987..1..6.21.9...7...68...  ED=11.7/1.2/1.2
........1......234.....2.5...6.7.1...7.8.69...82.19....987.....2.1.6....76..28..9  ED=11.7/1.2/1.2
.......12.....3..4..3....5...6.789...375.9....8.6..5...79.6....35.8.....6.83.7.9.  ED=11.7/1.2/1.2
........1......234....25..6..5..7....862.9...72.58..6..526.89...9..72...8.7......  ED=11.7/1.2/1.2
........1......234....25..6..5.67....8.2.9...72.58..6..52..89..69..72...8.7......  ED=11.7/1.2/1.2
........1......234....25..6..5.67....8.2.9...72..8..6..52..89..69..72...8.7.5....  ED=11.7/1.2/1.2
........1......234....25.....5.67....8.2.9...72.58..6..526.89..69..72...8.7......  ED=11.7/1.2/1.2
........1......234....25.....5.67....8.2.9...72..8..6..526.89..69..72...8.7.5....  ED=11.7/1.2/1.2
........1......234....25.....5..6....782.9...62.57..8..528.79..7.6......89..62...  ED=11.7/1.2/1.2
........1......234....25.....5..6....782.9...62..7..8..528.79..7.6.5....89..62...  ED=11.7/1.2/1.2
........1......234....25.....5.67....8.2.9...72.58..6..52..89..69..72...8.7...6..  ED=11.7/1.2/1.2
........1......234....25.....5.67....8.2.9...72..8..6..52..89..69..72...8.7.5.6..  ED=11.7/1.2/1.2
........1......234....25.....6.......756.89..82.79.6...92.76...6.85.....7..28...9  ED=11.7/1.2/1.2
........1......234....25.....6..2....756.89..82.79.6...92.76...6.85.....7...8...9  ED=11.7/1.2/1.2
........1......234....25.....2.67....6.28...9.785.9....97......28.6..7..6.57.89..  ED=11.7/1.2/1.2
........1......234....25.....2.67....6..8...9.785.9....97..2...28.6..7..6.57.89..  ED=11.7/1.2/1.2
........1......234....25..6..5..7....862.9...72..8..6..526.89...9..72...8.7.5....  ED=11.7/1.2/1.2
........1....23.....4.15.....67..89..78...1.494.....76.1......7.67.9..488.9...6..  ED=11.7/1.2/1.2
........1.....2.34.25....6...7.86...6..5.98..89.72.....76......2.9.57..658..9....  ED=11.7/1.2/1.2
........1.....2.34.25....6...7.58..6.862.....59..7......8.96...6.25.79..97.8.....  ED=11.7/1.2/1.2
........1.....2.34.25....6...7.8....6..5.98..89.72.6...76......2.9.57...58.69....  ED=11.7/1.2/1.2
........1.....2.34.25....6...7.58..6.8.2.....59.67......8.96...6.25.79..97.8.....  ED=11.7/1.2/1.2
........1.....2.34.25....6...7.58....862.....59.67......8.96...6.25.79..97.8.....  ED=11.7/1.2/1.2
........1.....2.34.25....6...7.58....862.....59.67......8.9....6.25.79..97.8..6..  ED=11.7/1.2/1.2
........1....23......4.5.....6....12.71.8.69.92....7.8.82....7.6.9...1..7..6.82.9  ED=11.7/1.2/1.2
........1....23......4.5.....6....12.71.8.69.92....7.8.82....7.6.9...18.7..6..2.9  ED=11.7/1.2/1.2
........1.....2.34.25....6...7.86...6..5.98..89.72.....7.......2.9.57..658.69....  ED=11.7/1.2/1.2
........1.....2.34.25....6...7.86...6..5.98..89.72.....76......2.9.57...58.69....  ED=11.7/1.2/1.2
........1......234....25.....65.7.8..7829....95..6.....89......5.76.98..62.87....  ED=11.7/1.2/1.2
........1......234....25.....6..7.8..7829....95..6.....89.5....5.76.98..62.87....  ED=11.7/1.2/1.2
........1......234....25.....65.7.8..7829....95..68....89......5.76.98..62..7....  ED=11.7/1.2/1.2
........1......234.....2..5..6..78...29.18....7.96.1...986.....21.87....6.7.29...  ED=11.7/1.2/1.2
........1.....2345.23..........67...6.893....97.2.86....97.....28...9.6.3.7.86...  ED=11.7/1.2/1.2
........1.....2345.23........2.67...6.893....97...86....972.....8...9.6.3.7.86...  ED=11.7/1.2/1.2
........1......234....25.....6..7.8..7829....95..68....89.5....5.76.98..62..7....  ED=11.7/1.2/1.2
........1......234.....2..5..6..78...29.1....87.96.1...986.....21.87....6.7.29...  ED=11.7/1.2/1.2
........1......234.....2..5..6..78...29.1....87.96.1...9.6.....21.87....6.7.29..8  ED=11.7/1.2/1.2
........1......234.....2..5..6..78...29.18....7.96.1...986.....21..7....6.7.29..8  ED=11.7/1.2/1.2
........1......234.....2..5..5..6....6789.5..82...79...7.6.9....9852....6.2.78...  ED=11.7/1.2/1.2
........1......234.....2..5..6.78....9.25....72.6.9..8.67.9.5..85...7...9.2..68..  ED=11.7/1.2/1.2
........1......234.....2..5..5..6....6789.5..82...79...7.6......9852....6.2.78..9  ED=11.7/1.2/1.2
........1.....2345.23..........67.....893....97.2.86...697.....28...9.6.3.7.86...  ED=11.7/1.2/1.2
........1.....2345.23........2.67.....893....97...86...6972.....8...9.6.3.7.86...  ED=11.7/1.2/1.2
........1......234.....2..5..6.78....9825....72.6.9....67.9.5..85...7...9.2..68..  ED=11.7/1.2/1.2
........1......234....25.....6.52....726.89..85.79......82.9....95.67...7...8..6.  ED=11.7/1.2/1.2
........1....23.....4..5.....6.78.9..1......698....4.7.497..81.16.8..7.97......64  ED=11.7/1.2/1.2
........1....23.....4..5.....6.7..8..1.....9689....4.7.487..91.16.9..7.87......64  ED=11.7/1.2/1.2
........1....23.....4..5.....6.7819..1......698....4.7.497..8..16.8..7.97......64  ED=11.7/1.2/1.2
........1....23.....4..5.....6.7.18..1.....9689....4.7.487..9..16.9..7.87......64  ED=11.7/1.2/1.2
........1....23.45.251..36......51.4...34..2.2...16.53.5......6.7.4......896.....  ED=11.7/1.2/1.2
........1......234....25.....6.52....726.89..85.79......82......95.67...7...8..69  ED=11.7/1.2/1.2
........1..2..3.....1.45.....6.78.9..1......698....2.7.297..81..6.8..7.97......62  ED=11.7/1.2/1.2
........1..2..3.....1.45..........67..7.8.19.69....2.8.8.....722.98..6..71.6..8.9  ED=11.7/1.2/1.2
........1..2..3.....1.45.....6.7..8..1.....9689....2.7.287..91..6.9..7.87......62  ED=11.7/1.2/1.2
..............1..2....3..45.13.67.8.68.......9.7.......3871.9..16..89...7.96.38..  ED=11.7/1.2/1.2
........1..2..3....1..45..........67......8.9.78.6.12..69....727.16..9.882.9..6..  ED=11.7/1.2/1.2
........1.....2..3....4..56.1472.8..2.9.18...78.9.4....42.97.1.87.......9.1......  ED=11.7/1.2/1.2
........1...234.....2..5..........67..6..82.9..7.9.18..29...6..16.8..97.7.8....12  ED=11.7/1.2/1.2
........1......234.....5.......67.....62.8..9.2759..8..79.52...2.86.....65.87.9..  ED=11.7/1.2/1.2
........1......234....25.....6..2....75..89..82.79.6...92.67...6.85.9...7...8..6.  ED=11.7/1.2/1.2
........1......234....25.....6.......75..89..82.79.6...92.67...6.85.9...7..28..6.  ED=11.7/1.2/1.2
........1......234....25..6..6..2....75..89..82.79.....92.67...6.85.9...7...8..6.  ED=11.7/1.2/1.2
........1......234....25..6..6..2....75..89..82.79.....92.67...6.85.....7...8..69  ED=11.7/1.2/1.2
........1......234....25..6..6.......75..89..82.79.....92.67...6.85.9...7..28..6.  ED=11.7/1.2/1.2
........1......234....25..6..6.......75..89..82.79.....92.67...6.85.....7..28..69  ED=11.7/1.2/1.2
........1....2345...24...36.....61.4...31..2512..453...1.65.....75......89.......  ED=11.7/1.2/1.2
.......12......3.4....15..6..6..1....75..8.9.81.79.....91.67...6.85.....7...8.6.9  ED=11.7/1.2/1.2
........1....2345...24...36...2.61.4...31..25.1..453..1..65....7.5......89.......  ED=11.7/1.2/1.2
.......12......3.4....15..6..6..1....75..8.9.81.79.....91.67...6.85.9...7...8.6..  ED=11.7/1.2/1.2
........1..2..3.45..124.36.....521.3...1.4.26.1.36.4.....6.5...7.6......89.......  ED=11.7/1.2/1.2
.......12......3.4....15.....6..1....75..8.9.81.79..6..91.67...6.85.9...7...8.6..  ED=11.7/1.2/1.2
........1......234....25.....6.7..8..7.2.9...95..68....89.52...5.76.....62.8.79..  ED=11.7/1.2/1.2
........1....23.....4..5.....6.7.18..1.....9689....4.7.687..9..14.9..7.87......64  ED=11.7/1.2/1.2
........1....23.45.251..36......51.4...31..2.2...46.53.5......6.7.4......896.....  ED=11.7/1.2/1.2
........1..2..3.....1245.....6...78..9.....1272.8..9.6..7.98.6..6....2..81.....79  ED=11.7/1.2/1.2
........1...234.....2..5.....6.78.9..1.....67.9....2.8.78....121.9...6..62.8..7.9  ED=11.7/1.2/1.2
........1...234.....2..5.....6.78.9..9....2..81.....67.7.....121.9...68.62.8..7.9  ED=11.7/1.2/1.2
........1.....2345.23........6..7.89.87.2....39..6.....32.89...7....6...86.73.9..  ED=11.7/1.2/1.2
........1.....2345.23........6..7.89.8729....3..6......328.....7.9..6...86.37.9..  ED=11.7/1.2/1.2
........1......234....25.....5.67.....82.9....6..8..79.97.52...58.6.....6.27.89..  ED=11.7/1.2/1.2
........1......234....25.....6.52....726.89..85.79......82......95.76...7...8..69  ED=11.7/1.2/1.2
........1..2..3.....1245.....6....7..89...1.272.9...86..7.8.6...6.....2991....7.8  ED=11.7/1.2/1.2
........1..2..3.....1245.....6...78..9.....1272.8..9.6..7.9..6..6....2.881.....79  ED=11.7/1.2/1.2
........1...234.....2..5.....6.7..8..8....2.991.....67.79....121.8...6..62.9..7.8  ED=11.7/1.2/1.2
........1...234.....2..5.....6.7..8..8....2.991.....67.7.....121.8...69.62.9..7.8  ED=11.7/1.2/1.2
........1.....2345.23........6..7.8..8729....39.6......328.9...7....6...86.37.9..  ED=11.7/1.2/1.2
........1.....2345.23........6..7.8..8729....39.6......328.....7.9..6...86.37.9..  ED=11.7/1.2/1.2
........1......234....25.....6.52....726.89..85.79......82.9....95.76...7...8..6.  ED=11.7/1.2/1.2
........1....23.45.251..36.........6.7.4......896..........51.42...46.535..31..2.  ED=11.7/1.2/1.2
........1..2..3.....1.45.....6.78.9..1......698....2.7.2.8..7.9.697..81.7......62  ED=11.7/1.2/1.2
........1..2..3.....1.45..........67..7.8.19.69....2.8.8.....7221.6..8.97.98..6..  ED=11.7/1.2/1.2
........1..2..3.....1.45.....6.7..8..1.....9689....2.7.2.9..7.8.687..91.7......62  ED=11.7/1.2/1.2
........1.....2.34.25........6.57.89.872.....59.6......528.9...7....6...86.57.9..  ED=11.7/1.2/1.2
........1.....2.34.25........6.57.89.8729....5..6......528.....7.9..6...86.57.9..  ED=11.7/1.2/1.2
........1....23.....4..5.....6.7819..1......698....4.7.697..8..14.8..7.97......64  ED=11.7/1.2/1.2
........1....23.....4..5.....6.78.9..1......698....4.7.697..81.14.8..7.97......64  ED=11.7/1.2/1.2
........1....23.....4..5.....6.7..8..1.....9689....4.7.687..91.14.9..7.87......64  ED=11.7/1.2/1.2
........1.....2.34.25........6.57.8..8729....59.6......528.9...7....6...86.57.9..  ED=11.7/1.2/1.2
........1.....2.34.25........6.57.8..8729....59.6......528.....7.9..6...86.57.9..  ED=11.7/1.2/1.2
........1.....2.34.25........2.678...569.....87..5.9....75.6.8..6..2....59.78....  ED=11.7/1.2/1.2
........1.....2.34.25..........678...569.....87.25.9...6.......2.75.6.8.59.78....  ED=11.7/1.2/1.2
........1......234....25.....6.......756.89..82.79.....92.7....6.85.....7..28..69  ED=11.7/1.2/1.2
........1......234....25.....6..2....756.89..82.79.....92.7....6.85.....7...8..69  ED=11.7/1.2/1.2
........1......234....25.....2.6.....6.27..89.875.9....98......27.6.....6.58.79..  ED=11.7/1.2/1.2
........1......234....25.....2.6.....6..7..89.875.9....98..2...27.6.....6.58.79..  ED=11.7/1.2/1.2
........1......234....25.....6.......756.89..82.79.....92.7....6.85.9...7..28..6.  ED=11.7/1.2/1.2
........1......234....25.....6..2....756.89..82.79.....92.7....6.85.9...7...8..6.  ED=11.7/1.2/1.2
........1......234....25.....627..8..785.9...92..6.....89......2.76.....65.8.79..  ED=11.7/1.2/1.2
........1......234....25.....6.7..8..785.9...92..6.....89..2...2.76.....65.8.79..  ED=11.7/1.2/1.2
........1.....2.34.25.....6..2.78....579.6....8..5.9....85.7.6..76.2....59.8.....  ED=11.7/1.2/1.2
........1.....2.34.25.....6..2.78....579.....68..5.9....85.7.6..7..2....59.86....  ED=11.7/1.2/1.2
........1.....2.34.25.....6....78....579.6....8.25.9...76......2.85.7.6.59.8.....  ED=11.7/1.2/1.2
........1.....2.34.25.....6....78....579.....68.25.9...7.......2.85.7.6.59.86....  ED=11.7/1.2/1.2
........1.....2.34.25........2.678...569.8....7..5.9....75.6.8..68.2....59.7.....  ED=11.7/1.2/1.2
........1.....2.34.25........2.67....568.9...97..5.8....75.6.9..69.2....58.7.....  ED=11.7/1.2/1.2
........1.....2.34.25........2.67....568.9...97..5.8....75.6.9..6..2....58.79....  ED=11.7/1.2/1.2
........1.....2.34.25..........678...569.8....7.25.9...68......2.75.6.8.59.7.....  ED=11.7/1.2/1.2
........1.....2.34.25..........67....568.9...97.25.8...69......2.75.6.9.58.7.....  ED=11.7/1.2/1.2
........1.....2.34.25..........67....568.9...97.25.8...6.......2.75.6.9.58.79....  ED=11.7/1.2/1.2
.......12......345....13.......67.....839...179.1.8.....7.896..8.3..1...96.7.....  ED=11.7/1.2/1.2
.......12......345....13.....1.67.....839...179...8.....7.896..8.3..1...96.7.....  ED=11.7/1.2/1.2
........1......234.....5........6.....657..89..92.8..7.289.....59.86.7..6.7.52...  ED=11.7/1.2/1.2
........1.....2.34.25........2.67.....895.7..9....86...6972.....8...9.6.5.7.86...  ED=11.7/1.2/1.2
........1.....2.34.25........2.6......785.9..89...76...6892.....7...8.6.5.9.76...  ED=11.7/1.2/1.2
........1.....2.34.25..........67.....895.7..9..2.86...697.....28...9.6.5.7.86...  ED=11.7/1.2/1.2
........1.....2.34.25..........6......785.9..89.2.76...689.....27...8.6.5.9.76...  ED=11.7/1.2/1.2
.......12.....3..4.35..........367....658.9...8.9.7....78.5....3.96.....56.3.8.7.  ED=11.7/1.2/1.2
.......12.....3..4.35........3.6......785.9..89...76...6893.....7...8.6.5.9.76...  ED=11.7/1.2/1.2
........1..2..3.45..124.36.....521.3...1.4.2..1.36.4.....6.5...7.....6..89.......  ED=11.7/1.2/1.2
........1......234....25.....6..2....75..89..82.79.6...92.67...6.85.....7...8...9  ED=11.7/1.2/1.2
........1......234....25.....6.......75..89..82.79.6...92.67...6.85.....7..28...9  ED=11.7/1.2/1.2
........1...234.....2..5....1......62.6.7.18.87....2.9.287.....16.9..7.89......6.  ED=11.7/1.2/1.2
........1....23.45..21.436.........6.7.4.....4896..........51..2..34....5...16.23  ED=11.7/1.2/1.2
........1...234.....2..5....1.....672.7.6.18.8.....2.9.286.....17.9....89.6....7.  ED=11.7/1.2/1.2
........1..2..3.....1245..........67.27.6.18..8....2.9.96....7.2.86.....71.9....8  ED=11.7/1.2/1.2
........1...234.....2..5....1......62.6.7..8.87....2.9.287...1.16.9..7.89......6.  ED=11.7/1.2/1.2
........1.....2.34.25.....6..2.67.....895.7..9....8....69.2.....8...9.675.7.86...  ED=11.7/1.2/1.2
........1.....2.34.25.....6....6......785.9..89.2.7....689.....27...8.6.5.9.76...  ED=11.7/1.2/1.2
........1.....2.34.25.....6..2.6......785.9..89...7....6892.....7...8.6.5.9.76...  ED=11.7/1.2/1.2
........1.....2.34.25.....6....67.....895.7..9..2.8....697.....28...9.6.5.7.86...  ED=11.7/1.2/1.2
........1.....2.34.25.....6..2.67.....895.7..9....8....6972.....8...9.6.5.7.86...  ED=11.7/1.2/1.2
.......12.....34....415.6.3...3....6...42.1.5.5..6123.5..6.....7......2.892......  ED=11.7/1.2/1.2
........1....23.45..21.436......51.....34.....5..16.232.......67..4.....8496.....  ED=11.7/1.2/1.2
.......12.....34.5..2.5.36.....26.51...13.2...1.5.4..31...6....7.......4894......  ED=11.7/1.2/1.2
......123.....1..4..5.....6..1.6......785.9..89...7....6891.....7...8.6.5.9.76...  ED=11.7/1.2/1.2
......123.....1..4..5.....6..1.6......785.9..89...7....6891.....7...8.695...76...  ED=11.7/1.2/1.2
........1....2345...24...36...2.61.4...31..2..1..453..1..6.....7.....5..895......  ED=11.7/1.2/1.2
........1..2..3.....1245....1......62.6.7..8.87....2.9.287...1..6.9..7.89......6.  ED=11.7/1.2/1.2
........1....2345...24...36...2.61.4...31..2..1..453..1..65....7.....5..89.......  ED=11.7/1.2/1.2
.......12.....3..4.35..........367...8.9.....7.658.9....8.5....3.967....56.3.8.7.  ED=11.7/1.2/1.2
.......12.....34.5..2.5.36.....26.51...13....12.5.4..3.1..6.....7......4894......  ED=11.7/1.2/1.2
........1....2345...24...36.....61.4...31..2.12..453...1.6......7....5..895......  ED=11.7/1.2/1.2
........1....2345...24...36.....61.4...31..2.12..453...1.65.....7....5..89.......  ED=11.7/1.2/1.2
........1....2345...24...36.....61.4...31..2.12..453...1.6......75......89....5..  ED=11.7/1.2/1.2
........1....23.45..21.436......51.....34.....5..16.23..74.....2.......68496.....  ED=11.7/1.2/1.2
........1....2345...24.1.36.....61.4...3...2512..453.....65.....75......89.......  ED=11.7/1.2/1.2
.......12......3.4....15.....6..1....756.8.9.81.79.....91..7...6.85.....7...8.6.9  ED=11.7/1.2/1.2
........1....2345...24...36...2.61.4...31..2..1..453..1..6.....7.5......89....5..  ED=11.7/1.2/1.2
........1....2345...24.1.36...2.61.4...3...25.1..453.....65....7.5......89.......  ED=11.7/1.2/1.2
.......12......3.4....15.....6..1....756.8.9.81.79.....91..7...6.85.9...7...8.6..  ED=11.7/1.2/1.2
........1.....2.34.25....6...2.576....89.6....7..8.9....75.8....86.2....59.76....  ED=11.7/1.2/1.2
........1.....2.34.25....6...2.576....89.....67..8.9....75.8....86.2....59.76....  ED=11.7/1.2/1.2
........1.....2.34.25....6.....576....89.6....7.28.9...86......2.75.8...59.76....  ED=11.7/1.2/1.2
........1.....2.34.25....6.....576....89.....67.28.9...86......2.75.8...59.76....  ED=11.7/1.2/1.2
........1.....2.34.25.....6....6......785.9..89.2.7....689.....27...8.695...76...  ED=11.7/1.2/1.2
........1.....2.34.25.....6..2.6......785.9..89...7....6892.....7...8.695...76...  ED=11.7/1.2/1.2
........1.....2.34.25.....6....67.....895.7..9..2.8....69......28...9.675.7.86...  ED=11.7/1.2/1.2
........1...234.....2..5.....6...78..9......271.8..9.6..7.98.6..69...1..82.....7.  ED=11.7/1.2/1.2
........1....2345..24.1..63......5....7.6....689..........42......63..1.4..1.532.  ED=11.7/1.2/1.2
........1....23.45..21.436......51.4...31.....5...6.232.......67..4.....8.96.....  ED=11.7/1.2/1.2
........1..2..3.....1.45......6...78.6....9.29.87..1...29.7.8..1.......978.....26  ED=11.7/1.2/1.2
........1....23.....4..5.....6.7849..8.....6.9.7...1...49...68.16.8..7.97.......4  ED=11.7/1.2/1.2
........1....23.....4..5.....6...78..9......471.8..9.6..7.9846..69...1..84.....7.  ED=11.7/1.2/1.2
........1....2345..24.1..63......5.6..7.6.....89..........42......63..1.4..1.532.  ED=11.7/1.2/1.2
........1....23.45..21.436.........6.7.4......896..........51.42..31....5....6.23  ED=11.7/1.2/1.2
........1....23.....4..5..........6...6.7849..97...1.8.78.....44.9...6..61.8..7.9  ED=11.7/1.2/1.2
........1....23.....4..5.....6....7..89.....471.9...86..7.8964..4....7...68....19  ED=11.7/1.2/1.2
........1...234.....2..5.....6...78..9......271.8..9.6..7.9..6..69...1.882.....7.  ED=11.7/1.2/1.2
........1...234.....2..5.....6.7.28..87...1.99......6..79......2.8...6..61.9..7.8  ED=11.7/1.2/1.2
........1...234.....2..5.....6....7..89.....271.9...86..7.8.6...68....1992....7..  ED=11.7/1.2/1.2
........1....23.....4..5....1.....674.7.6..8.8.....4.9.786...1.1..9....89.6....74  ED=11.7/1.2/1.2
........1....23.....4..5....1......64.6.7..8.87....4.9.687...1.1..9..7.89......64  ED=11.7/1.2/1.2
........1....23.....4..5.....6.7.48..87...1.99......6..7......44.8...69.61.9..7.8  ED=11.7/1.2/1.2
........1....23.....4..5.....6...78..9......471.8..9.6..7.9.46..69...1.884.....7.  ED=11.7/1.2/1.2
........1....23.....4..5....1.....674.7.6.18.8.....4.9.786.....1..9....89.6....74  ED=11.7/1.2/1.2
........1....23.....4..5....1......64.6.7.18.87....4.9.687.....1..9..7.89......64  ED=11.7/1.2/1.2
........1....23.....4..5.....6.7.48..87...1.99......6..79.....44.8...6..61.9..7.8  ED=11.7/1.2/1.2
........1....23.....4..5.....6....7..89.....471.9...86..7.8.64..68....1994....7..  ED=11.7/1.2/1.2
........1....2345...24.1.36.....61.4....3..2.12..453.....6......7....5..895......  ED=11.7/1.2/1.2
........1....2345...24.1.36.....61.4....3..2.12..453.....65.....7....5..89.......  ED=11.7/1.2/1.2
........1....2345...24.1.36....3..2....2.61.4.1..453.....6.....7.....5..895......  ED=11.7/1.2/1.2
........1.......23....45..6..7..4.....89.7...59.68.....65..8...47..9.5..8.9.7.6..  ED=11.7/1.2/1.2
........1......234....25.......67.....82.9..569.58......6.987..8.2......97.6..5..  ED=11.7/1.2/1.2
........1......234....25.....5.67.....82.9..569..8......6.987..8.2......97.6..5..  ED=11.7/1.2/1.2
........1.......23....45..6..6..7....48.9.5..97.58.6...5967....7..9.8...8....4...  ED=11.7/1.2/1.2
........1.....2.34.25........2.567....89.....76..8.9....65.8..7.8..2....59.67....  ED=11.7/1.2/1.2
........1.....2.34.25........2.6....6.785.9..89...7.....892.....7...8.6.5.9.76...  ED=11.7/1.2/1.2
........1.....2.34.25..........567....89.....76.28.9...8.......2.65.8..759.67....  ED=11.7/1.2/1.2
........1.....2.34.25........2.67...6.895.7..9....8.....972.....8...9.6.5.7.86...  ED=11.7/1.2/1.2
........1.....2.34.25..........6......785.9..89.2.76...689.....27...8..95...76...  ED=11.7/1.2/1.2
........1.....2.34.25..........6....6.785.9..89.2.7.....89.....27...8.6.5.9.76...  ED=11.7/1.2/1.2
........1.....2.34.25..........567....89.7....6.28.9...87......2.65.8..759.6.....  ED=11.7/1.2/1.2
........1.....2.34.25..........67...6.895.7..9..2.8.....97.....28...9.6.5.7.86...  ED=11.7/1.2/1.2
........1.....2.34.25....6...2.57.....89.6....7..8.9....75.8..6.86.2....59.7.....  ED=11.7/1.2/1.2
........1.....2.34.25....6.....57.....89.6....7.28.9...86......2.75.8..659.7.....  ED=11.7/1.2/1.2
........1.....2.34.25..........567....89.7....6.28.9...87......2.65.8.7.59.6.....  ED=11.7/1.2/1.2
........1.....2.34.25........2.567....89.....76..8.9....65.8.7..8..2....59.67....  ED=11.7/1.2/1.2
........1.....2.34.25........2.567....89.7....6..8.9....65.8.7..87.2....59.6.....  ED=11.7/1.2/1.2
........1.....2.34.25........2.67...6.895.7..9....8.....9.2.....8...9.675.7.86...  ED=11.7/1.2/1.2
........1.....2.34.25........2.6....6.785.9..89...7.....892.....7...8.695...76...  ED=11.7/1.2/1.2
........1.....2.34.25..........67...6.895.7..9..2.8.....9......28...9.675.7.86...  ED=11.7/1.2/1.2
........1.....2.34.25..........6....6.785.9..89.2.7.....89.....27...8.695...76...  ED=11.7/1.2/1.2
........1.....2.34.25.....6....57.....89.....67.28.9...8.......2.75.8.6.59.76....  ED=11.7/1.2/1.2
........1.....2.34.25.....6....57.....89.6....7.28.9...86......2.75.8.6.59.7.....  ED=11.7/1.2/1.2
........1.....2.34.25.....6..2.57.....89.....67..8.9....75.8.6..8..2....59.76....  ED=11.7/1.2/1.2
........1.....2.34.25.....6..2.57.....89.6....7..8.9....75.8.6..86.2....59.7.....  ED=11.7/1.2/1.2
........1.....2.34.25..........567....89.....76.28.9...8.......2.65.8.7.59.67....  ED=11.7/1.2/1.2
........1.....2.34.25....6...2.57.....89.....67..8.9....75.8..6.8..2....59.76....  ED=11.7/1.2/1.2
........1.....2.34.25....6.....57.....89.....67.28.9...8.......2.75.8..659.76....  ED=11.7/1.2/1.2

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........1.......23....245.6.124.7...48.9.....7.9.82....718.9.4.82...1...9.4.7..1.  ED=11.6/1.2/1.2
........1......234....25.6...7.8.....862.9..595..67....69.52...5.879.6..72...8...  ED=11.6/1.2/1.2
........1.....2345.23....6...7..8....8629....39.7.6..2.326.9....7.38....8.9..76..  ED=11.6/1.2/1.2
........1.......23....245.6..78......214.9...98..72..4.197.8.4.7.2..1...84..9..1.  ED=11.6/1.2/1.2
........1.....2345.23....6...627......8..9...37.8.6.92.326.7....8.39....9.7..86..  ED=11.6/1.2/1.2
........1......234....25.6...7.8.....862.9.7595..6.....69.52...5.879.6..72...8...  ED=11.6/1.2/1.2
........1.....2.3...4...256..7.48..3.8392..749....3.....8.79....392.4...72.83....  ED=11.6/1.2/1.2
........1.......23....245.6..78......21..9...98..72..4.197.8...7.2.41...84..9..1.  ED=11.6/1.2/1.2
........1.....2.3...4...256..7.48....8392...49..7.3.....8.793...392.4...72.8.....  ED=11.6/1.2/1.2
........1......234.....2..5.12.6....6.7.28..998.7......6187....72..19...8.9..61..  ED=11.6/1.2/1.2
........1......234.....2..5..6.7.....8925....72.6.8..9.6758....8.29.75..95...6...  ED=11.6/1.2/1.2
........1......234.....2..5..6.78....9.25....72.6.9..8.6759....85...6...9.28.75..  ED=11.6/1.2/1.2
........1......234.....2..5..6.7.....2189....87.2.6..9.1876....69...81..7.21.9...  ED=11.6/1.2/1.2
........1.....2.....3...245..6.37.8..7892....93.6.......7.968...892.3...62.78....  ED=11.6/1.2/1.2
........1.....2.....3...245..6.37.8..7892....93.6.8.....7.968...892.3...62.7.....  ED=11.6/1.2/1.2
........1.....2.....3...245..6.37.8..7892....9..6......892.3...3.7.968..62.78....  ED=11.6/1.2/1.2
........1.....2.....3...245..6.37.8..7892....9..6.8....892.3...3.7.968..62.7.....  ED=11.6/1.2/1.2
........1....23.....24.5.....67...28.87...91.9.....6.7.7....1.22.8.7..6961..9.8..  ED=11.6/1.2/1.2
........1....23.....24.5.....67...28.87...91.9.....6.7.79...1.22.8.7..6.61..9.8..  ED=11.6/1.2/1.2
........1......234....25.6...5.67....8.2.9...72.58...6.579.8...69..7....8.26..9..  ED=11.6/1.2/1.2
........1......234....25.6...5..7....862.9...72.58...6.579.8...69..7....8.26..9..  ED=11.6/1.2/1.2
........1......234....25.6...5.67....862.9...72.58.....579.8...69..7....8.26..9..  ED=11.6/1.2/1.2
........1......234....25.6...5.67....862.9...72.58.....579.86...9..7....8.26..9..  ED=11.6/1.2/1.2
........1......234....25.6...5.67....8.2.9...72..8...6.579.8...69..7....8.265.9..  ED=11.6/1.2/1.2
........1......234....25.6...5..7....862.9...72..8...6.579.8...69..7....8.265.9..  ED=11.6/1.2/1.2
........1......234....25.6...5.67....862.9...72..8.....579.8...69..7....8.265.9..  ED=11.6/1.2/1.2
........1......234....25.6...5.67....862.9...72..8.....579.86...9..7....8.265.9..  ED=11.6/1.2/1.2
........1....23.45..21.436.....16.53...2.51...5.34..2...74.....2.......68496.....  ED=11.6/1.2/1.2
........1....23......4.5.....6.7..48.87...91.94....6.7.79...1.44.87...6.61.9..8..  ED=11.6/1.2/1.2
.......12.....3..4..1...5.6....74.....71.84.9.8439.....49.31...1.87.....73..8..9.  ED=11.6/1.2/1.2
.......12......3.4.....5..6..1.76....6859.....7.1.86.9.96.51...18.7.....7.5.8..9.  ED=11.6/1.2/1.2
.......12......3.4....15..6..1.76....6859.....7...86.9.96.51...18.7.....7.5.8..9.  ED=11.6/1.2/1.2
.......12.....3..4..1...5.6..7.184.9.84.3....9..7.4....4.3.1...1.8.79...73.8...9.  ED=11.6/1.2/1.2
.......12.....3..4..1...5.6..7.184.9.84.3....91.7.4.....8.79....4.3.1...73.8...9.  ED=11.6/1.2/1.2
.......12.....3..4..1...5.6..7.184...8493....9..7.4....493.1...1.8.7....73.8...9.  ED=11.6/1.2/1.2
.......12.....3..4..1...5.6..7.184...8493....91.7.4.....8.7.....493.1...73.8...9.  ED=11.6/1.2/1.2
.......12......3.4.....5..6..7.186...8695....91.7.6....695.1...1.8.7....75.8...9.  ED=11.6/1.2/1.2
.......12......3.4....15..6..7..86...8659....91..76....69.51...1.87.....75..8..9.  ED=11.6/1.2/1.2
.......12.....3..4..1...5.6..7.184...8493....9..7.4....4.3.1...1.8.79...73.8...9.  ED=11.6/1.2/1.2
.......12.....3..4..1...5.6..7.184...8493....91.7.4.....8.79....4.3.1...73.8...9.  ED=11.6/1.2/1.2
........1....23.....24.5.....6.7..8..79...1.281..9.6....87...26.67...91.92....8.7  ED=11.6/1.2/1.2
.......12......3.4....15.....6..78...7859....91..68....89.51...1.76...8.65..7..9.  ED=11.6/1.2/1.2
........1....23.....24.5.....6.7..89.7....1.281..9.6....87...26.67...91.92....8.7  ED=11.6/1.2/1.2
.......12......3.4....15.....6..78...7859....91..68....8..51...1.76.9.8.65..7..9.  ED=11.6/1.2/1.2
........1.....2.3...4...256..7.48....8392..749....3.....8.793...392.4...72.8.....  ED=11.6/1.2/1.2
........1......234.....2..5.1267....6.82.9...79..8.....6189.7..82.1.....9.7..61..  ED=11.6/1.2/1.2
........1......234....25.....6.7..8..782.9...95...6....89.52...5.796.8..62.8.7...  ED=11.6/1.2/1.2
........1......234.....2..5..6.7.....2189....87.2.6..9.1876.9..69...81..7.21.....  ED=11.6/1.2/1.2
........1......234....25.....6.7..8..782.9...95..86....89.52...5.796.8..62...7...  ED=11.6/1.2/1.2
........1......234.....2..5..5..6....7658.9..82.9.75...6..7.....9825....7.26.8..9  ED=11.6/1.2/1.2
........1......234.....2..5..5..6....7658.9..82.9.75...6..79....9825....7.26.8...  ED=11.6/1.2/1.2
........1....23.....2415.....6.7.89..78.....291.....76..97..62..67....1882......9  ED=11.6/1.2/1.2
........1......234.....2.56..7.8.....9526....82.7.9..5.7859.6..56...8...9.2..7...  ED=11.6/1.2/1.2
.......12......345.....3..6..7..8....39.21...18.97.2...9.7.....32.18....7.8.39..1  ED=11.6/1.2/1.2
........1......234.....2.56..7.85....9526....82.7.9....7859.6..56...8...9.2..7...  ED=11.6/1.2/1.2
.......12......345.....3..6..7..8....39.21...18.97.2...917.....32.18....7.8.39...  ED=11.6/1.2/1.2
........1....23.....2415.....6.7.89..78.....291......6..97..62..67....1882....7.9  ED=11.6/1.2/1.2
........1......234.....5.....6.27.8..7895....92.6.8....8.5.2...2.7.69...65.87.9..  ED=11.6/1.2/1.2
........1......234.....5.....2.67....6.2.8.79.7859.....97.52...28.6.....6.587.9..  ED=11.6/1.2/1.2
........1......234.....5.....6.27.89.78.5....92.6.8....8.5.2...2.7.69...65.87.9..  ED=11.6/1.2/1.2
........1......234.....5.....6.27.8..7895....92.6.8....895.2...2.7.6....65.87.9..  ED=11.6/1.2/1.2
........1......234....25.....6..7.8..7859....92..68....8..52...2.76.9...65.78.9..  ED=11.6/1.2/1.2
........1......234....25.....6..7.89.785.....92..68....8..52...2.76.9...65.78.9..  ED=11.6/1.2/1.2
........1..2..3.....1245..........67..7.6819..9....2.8.68....121.9...7..72.8..6.9  ED=11.6/1.2/1.2
........1..2..3.....1245.....6.7819..8.....769.....2...19...68.26.8..7.97......12  ED=11.6/1.2/1.2
........1..2..3.....1245.....6.7.18..8....2.99......76.79....121.8...6..62.9..7.8  ED=11.6/1.2/1.2
........1..2..3.....1245.....6.7.18..8....2.99......76.7.....121.8...69.62.9..7.8  ED=11.6/1.2/1.2
........1...234.....2..5..........67..6.782.9.97...18..78....122.9...6..61.8..97.  ED=11.6/1.2/1.2
........1....23.....4..5....1.....674.7.6.18.8.....4.9.489..6..17.6..9.49.6....78  ED=11.6/1.2/1.2
........1....23.....4..5....1.....674.7.6..8.8.....4.9.489..61.17.6..9.49.6....78  ED=11.6/1.2/1.2
.......12......345.....3..6..7..8....39.12...28.97.1...9.7.....31.28....7.8.39.2.  ED=11.6/1.2/1.2
........1......234.....2.56..7.86....9625....82.7.9....78.9.5..65...8...9.2..76..  ED=11.6/1.2/1.2
........1......234.....2.56..5..7....7869.5..92...86...6925.....8..76...7.28.9...  ED=11.6/1.2/1.2
........1......234.....2.56..7.86....9625....82.7.9....7869.5..65...8...9.2..7...  ED=11.6/1.2/1.2
........1......234.....2.56..7.8.....9625....82.7.9.6..7869.5..65...8...9.2..7...  ED=11.6/1.2/1.2
.......12......345....14.....64.78...7819....94..68....89......4.76.9.8.61..7....  ED=11.6/1.2/1.2
.......12......345....14.....6..78...7819....94..68....89.4....4.76.9.8.61..7....  ED=11.6/1.2/1.2
........1....12......345.....67..48..87...1.994.....76.79.....44.8.7.69.61......8  ED=11.6/1.2/1.2
........1...234.....21.5.....6.7.28..87...1.992.....76..87..69..79.....261......8  ED=11.6/1.2/1.2
.......12......345....14.....64.78...7819....94..6.....89......4.76.9.8.61.87....  ED=11.6/1.2/1.2
.......12......345....14.....6..78...7819....94..6.....89.4....4.76.9.8.61.87....  ED=11.6/1.2/1.2
........1....12......345.....67..48..87...1.994......6.79.....44.8.7.69.61....7.8  ED=11.6/1.2/1.2
........1...234.....21.5.....6.7.28..87...1.992......6..87..69..79.....261....7.8  ED=11.6/1.2/1.2
........1...234.....2..5.....6.78.29.8....6.79.7....1..29....6816.8..79.7.....1.2  ED=11.6/1.2/1.2
........1...234.....2..5.....6....78.9....1.271.8..96...7.98.26.69....1.82....7.9  ED=11.6/1.2/1.2
........1......234....25.....2.67....6...8.79.7859.....97.52...28.6.....6.587.9..  ED=11.6/1.2/1.2
........1....23.45..21.436.....16.54...2.51.3.5.34..2.2.......67..4.....8.96.....  ED=11.6/1.2/1.2
........1...234.....2..5.....6.7..28.87...91.9.....6.7.79...1.22.8....6.61.9..78.  ED=11.6/1.2/1.2
........1...234.....2..5.....6.7..28.87...91.9.....6.7.7....1.22.8....6961.9..78.  ED=11.6/1.2/1.2
........1......234....25.....6..7.8..7859....92..68....89.52...2.76.....65.78.9..  ED=11.6/1.2/1.2
........1...234.....2..5.....6....7..89...1.271.9..86...7.8..26.68...91.92....7.8  ED=11.6/1.2/1.2
........1...234.....2..5.....6....78.9....1.271.8..96...7.9..26.69...81.82....7.9  ED=11.6/1.2/1.2
........1..2..3.....1.45....1.....672.7.6..8.8.....2.9.289..61..7.6..9.29.6....78  ED=11.6/1.2/1.2
........1..2..3.....1.45..........67.27.6.18..8....2.9.96....782.89..6..71.6..9.2  ED=11.6/1.2/1.2
.......12......345.....3..6..7..82...39.12....8.97.1...927.....31.28....7.8.39...  ED=11.6/1.2/1.2
.......12......345.....3..6..7..82...39.1....28.97.1...927.....31.28....7.8.39...  ED=11.6/1.2/1.2
.......12......345.....1..6..748.6...861.9...94...7....69..4...4.879....71.6.8...  ED=11.6/1.2/1.2
........1....23.....24.5.....67...28.87...91.9.....6...79...1.22.8....6.61..9.87.  ED=11.6/1.2/1.2
........1....23.....24.5.....67...28.87...91.9.....6...7....1.22.8....6961..9.87.  ED=11.6/1.2/1.2
........1....23.....24.5..........6...67.82.9.97...18..78....122.9...6..61..8.79.  ED=11.6/1.2/1.2
........1....23.....24.5.....67.8.29.8....6..9.7....1..29....6816..8.97.7.....1.2  ED=11.6/1.2/1.2
........1....23......4.5.....2....6..6.7.82.9.79...18..87....1229....6..6.1.8.79.  ED=11.6/1.2/1.2
........1....23......4.5.....6.7..48.87...91.94....6...79...1.44.8....6.61.9..87.  ED=11.6/1.2/1.2
.......12......3.4....15.....1.6.....6...78.9.8759.....98.51...17.6.....6.587..9.  ED=11.6/1.2/1.2
.......12......3.4....15.....6..78.9.785.....91..6.....8..51...1.76.9...65.87..9.  ED=11.6/1.2/1.2
.......12......3.4....15.....6..78...7859....91..6.....89.51...1.76.....65.87..9.  ED=11.6/1.2/1.2
.......12......3.4....15.....6..78...7859....91..6.....8..51...1.76.9...65.87..9.  ED=11.6/1.2/1.2
........1....23.....24.5.....6....7..89...1.271..9.68...78.9.26.2....7...68...91.  ED=11.6/1.2/1.2
........1....23.....24.5.....6....78.9....1.271..8.69...79.8.26.69....1.82....7..  ED=11.6/1.2/1.2
........1....23.....24.5.....6....7..89...1.271..9.68...78...26.68...91.92....7..  ED=11.6/1.2/1.2
........1....23.....24.5.....6....78.9....1.271..8.69...79...26.69...81.82....7..  ED=11.6/1.2/1.2
........1..2.34.....3.56.....7.8..19.9....2..13....8.7.21.....3.7.8..9.28.93...7.  ED=11.6/1.2/1.2
........1....23.....4.15.....6....47.786..91.9.....8...6......44.7.91.6881....79.  ED=11.6/1.2/1.2
........1....23.....4.15.....6....47.786..91.94....8....7.91.68.6......481....79.  ED=11.6/1.2/1.2
........1....12......345.....6.....3.7..81.699.1...78..6.....37.976..81.8.3...9..  ED=11.6/1.2/1.2
.......12......345....13.....6.3.....7.68..918.19.7....6..7.....871.96..9.3..8...  ED=11.6/1.2/1.2
........1.....2.34....56.....1.65....672.18..25.87.1...72......18.......5.6.28..7  ED=11.6/1.2/1.2
........1.....2.34....56....17......2.8......65..27..8.25.8.1..17..65...8.62.17..  ED=11.6/1.2/1.2
........1......234.....2.56..7.85....9.26....82.7.9..5.78.9.6..56...8...9.2..7...  ED=11.6/1.2/1.2
.......12......345.....3..6..7..8....39.21....8.97.2...917.....32..8....7.8.39..1  ED=11.6/1.2/1.2
........1....23.....4..5....1......64.6.7..8.87....4.9.489..71.16.7..9.49......68  ED=11.6/1.2/1.2
........1..2..3.....1.45....1......62.6.7..8.87....2.9.289..71..6.7..9.29......68  ED=11.6/1.2/1.2
........1.....2.34.25........6.57.8..7829....59.6......528.....7.9..6...86.57.9..  ED=11.6/1.2/1.2
........1.....2345.23........6..7.8..7829....39.6......328.....7.9..6...86.37.9..  ED=11.6/1.2/1.2
.......12.....3..4..3....5...6..78...39.5....87.96.5...9.6.....35.87....6.7.39.8.  ED=11.6/1.2/1.2
........1.....2.34.25........6.57.8..7829....59.6......528.9...7....6...86.57.9..  ED=11.6/1.2/1.2
........1.....2345.23........6..7.8..7829....39.6......328.9...7....6...86.37.9..  ED=11.6/1.2/1.2
........1......234....25.....6.7..8..7.2.9...95..86....89.52...5.76.....62.8.79..  ED=11.6/1.2/1.2
........1..2..3.....1245.....6...78..9.....1272.8..9.6..7.98.6..6....2..81.....97  ED=11.6/1.2/1.2
........1...234.....2..5.....6.78.9..1.....76.9....2.8.78....121.9...6..62.8..7.9  ED=11.6/1.2/1.2
........1...234.....2..5.....6.78.9..9....2..81.....76.7.....121.9...68.62.8..7.9  ED=11.6/1.2/1.2
........1.....2345.23........6..7.89.78.2....39..6.....32.89...7....6...86.73.9..  ED=11.6/1.2/1.2
........1.....2345.23........6..7.89.7829....3..6......328.....7.9..6...86.37.9..  ED=11.6/1.2/1.2
........1..2..3.....1245.....6....7..89...1.272.9...86..7.8.6...6.....2991....8.7  ED=11.6/1.2/1.2
........1..2..3.....1245.....6...78..9.....1272.8..9.6..7.9..6..6....2.881.....97  ED=11.6/1.2/1.2
........1...234.....2..5.....6.7..8..8....2.991.....76.79....121.8...6..62.9..7.8  ED=11.6/1.2/1.2
........1...234.....2..5.....6.7..8..8....2.991.....76.7.....121.8...69.62.9..7.8  ED=11.6/1.2/1.2
........1....23.45.251..36.........6.7.4......896..........51.42...16.535..34..2.  ED=11.6/1.2/1.2
........1.....2.34.25........6.57.89.782.....59.6......528.9...7....6...86.57.9..  ED=11.6/1.2/1.2
........1.....2.34.25........6.57.89.7829....5..6......528.....7.9..6...86.57.9..  ED=11.6/1.2/1.2
........1....23.45..21.436.........6.7.4......896..........51.32...16.545..34..2.  ED=11.6/1.2/1.2
........1....23.....4..5....1......64.6.7.18.87....4.9.489..7..16.7..9.49......68  ED=11.6/1.2/1.2
.......12......345.....3..6..7..8....39.12....8.97.1...927.....31..8....7.8.39.2.  ED=11.6/1.2/1.2
........1......234.....2.5...6..78...29.18....7.96.1...986.....21..7....6.7.29..8  ED=11.6/1.2/1.2
........1......234.....2.5...6..78...29.1....87.96.1...9.6.....21.87....6.7.29..8  ED=11.6/1.2/1.2
........1......234.....2.56..7.86....9.25....82.7.9.6..78.9.5..65...8...9.2..7...  ED=11.6/1.2/1.2
........1......234.....2.5...6.78....9.25....72.6.9.8..67.9.5..85...7...9.2..68..  ED=11.6/1.2/1.2
........1......234.....2.5...5..6....6789.5..82...79...7.6......9852....6.2.78.9.  ED=11.6/1.2/1.2
........1...234.....21.5.....6.7.28..87...1.99......76.79......2.87..69.61......8  ED=11.6/1.2/1.2
........1...234.....21.5.....6.7.28..87...1.99.......6.79......2.87..69.61....7.8  ED=11.6/1.2/1.2
.......12.....3..4..3....5...6.378....95.8....7.69.5...98.6....35.7.....6.73.9.8.  ED=11.6/1.2/1.2
.......12.....3..4..3....5...6.378....95.....78.69.5...673.9.8.53.78....9...6....  ED=11.6/1.2/1.2
.......12.....3..4..3....5...6..78...39.58....7.96.5...986.....35..7....6.7.39.8.  ED=11.6/1.2/1.2
........1......234....25.....5.67.....82.9....7..8..69.96.52...58.7.....7.26.89..  ED=11.6/1.2/1.2
........1......234....25.....6.7..8..785.9...92..86....89..2...2.76..8..65...79..  ED=11.6/1.2/1.2
........1......234....25.....627..8..785.9...92..86....89......2.76..8..65...79..  ED=11.6/1.2/1.2
........1......234....25..6..5.67....862.9...72..8.....576.89...9..7....8.2.5.6..  ED=11.6/1.2/1.2
........1......234....25..6..5.67....862.9...72.58.....576.89...9..7....8.2...6..  ED=11.6/1.2/1.2
........1......234....25..6..5.67....862.9...72.58.....57..89..69..7....8.2...6..  ED=11.6/1.2/1.2
........1......234....25..6..5.67....862.9...72..8.....57..89..69..7....8.2.5.6..  ED=11.6/1.2/1.2
........1......234....25..6..7.8..6..865.9...92..67....69..2...2.87.....75...89..  ED=11.6/1.2/1.2
........1......234....25..6..2.67....685.9....7..8..69.96..2...28.7.....7.5..89..  ED=11.6/1.2/1.2
........1......234....25..6..728..6..865.9...92..67....69......2.87.....75...89..  ED=11.6/1.2/1.2
........1......234....25..6..2.67....685.9....7.28..69.96......28.7.....7.5..89..  ED=11.6/1.2/1.2
........1......234....25.6...5.67....862.9...72..8.....57..89..69..7....8.2.5.6..  ED=11.6/1.2/1.2
........1......234....25.6...5.67....862.9...72..8.....576.89...9..7....8.2.5.6..  ED=11.6/1.2/1.2
........1......234....25.6...5.67....862.9...72.58.....57..89..69..7....8.2...6..  ED=11.6/1.2/1.2
........1......234....25.6...5.67....862.9...72.58.....576.89...9..7....8.2...6..  ED=11.6/1.2/1.2
.......12......3.4....15..6..1.67....685.9....7.18.6.9.96......18.7.....7.5..8.9.  ED=11.6/1.2/1.2
.......12......3.4....15..6..1.67....685.9....7..8.6.9.96..1...18.7.....7.5..8.9.  ED=11.6/1.2/1.2
.......12......3.4....15..6..718.6...865.9...91..67....69......1.87.....75...8.9.  ED=11.6/1.2/1.2
.......12......3.4....15..6..7.8.6...865.9...91..67....69..1...1.87.....75...8.9.  ED=11.6/1.2/1.2
.......12......3.4....15.....617.8...785.9...91..86....89......1.76...8.65...7.9.  ED=11.6/1.2/1.2
.......12......3.4....15.....6.7.8...785.9...91..86....89..1...1.76...8.65...7.9.  ED=11.6/1.2/1.2
........1......234....25.....6..7.8..7859....92..6.....89.52...2.7..6...65.87.9..  ED=11.6/1.2/1.2
........1......234....25.....2.6.....6...7.89.8759.....98.52...27...6...6.587.9..  ED=11.6/1.2/1.2
........1......234....25.....6..7.8..7859....92..6.....8..52...2.79.6...65.87.9..  ED=11.6/1.2/1.2
........1......234.....5.....2.6.....6.2.7.89.8759.....98.52...27...6...6.587.9..  ED=11.6/1.2/1.2
........1......234.....5.....6.27.8..7895....92.6......895.2...2.7..6...65.78.9..  ED=11.6/1.2/1.2
........1......234.....5.....6.27.8..7895....92.6......8.5.2...2.7.96...65.78.9..  ED=11.6/1.2/1.2
........1....23.....2145.....6.7..89.79...1..82.....6..1....6...678..92.9.8.....7  ED=11.6/1.2/1.2
........1.....2.34.35..........36....6725..8.3.28.7....58......6.3..57..72...86..  ED=11.6/1.2/1.2
........1.....2.34.35........6......7.3..58..82...67...7825..6.3.26.8...5...37...  ED=11.6/1.2/1.2
........1......234....25.....5..6....782.9...62..7...8.568.79...9..6....7.2.5.8..  ED=11.6/1.2/1.2
........1......234....25.....5..6....782.9...62.57...8.568.79...9..6....7.2...8..  ED=11.6/1.2/1.2
........1......234....25.....5.67....8.2.9...72..8...6.57..89..69..7....8.2.5.6..  ED=11.6/1.2/1.2
........1......234....25.....5.67....8.2.9...72.58...6.57..89..69..7....8.2...6..  ED=11.6/1.2/1.2
........1......234....25.6...5.67....8.2.9...72.58...6.57..89..69..7....8.2......  ED=11.6/1.2/1.2
........1......234....25.6...5.67....8.2.9...72..8...6.57..89..69..7....8.2.5....  ED=11.6/1.2/1.2
........1......234....25.....6.7..8..785.9...92...6....89..2...2.76.....65.8.79..  ED=11.6/1.2/1.2
........1......234....25.....2..6....6..7..89.875.9....98..2...27.6.....6.58.79..  ED=11.6/1.2/1.2
........1......234....25.....2.67....685.9....7..8...9.96..2...28.7..6..7.5..89..  ED=11.6/1.2/1.2
........1......234....25.....627..8..785.9...92...6....89......2.76.....65.8.79..  ED=11.6/1.2/1.2
........1......234....25.....2..6....6.27..89.875.9....98......27.6.....6.58.79..  ED=11.6/1.2/1.2
........1......234....25.....2.67....685.9....7.28...9.96......28.7..6..7.5..89..  ED=11.6/1.2/1.2
........1......234....25.....6..2....756.89..82.79.....92..7...6.85.9...7...8..6.  ED=11.6/1.2/1.2
........1......234....25.....6..2....756.89..82.79.....92..7...6.85.....7...8..69  ED=11.6/1.2/1.2
........1......234....25.....6.......756.89..82.79.....92..7...6.85.9...7..28..6.  ED=11.6/1.2/1.2
........1......234....25.....6.......756.89..82.79.....92..7...6.85.....7..28..69  ED=11.6/1.2/1.2
........1...234.....2..5.....6.7..8..87...1.992.....76..87..6...79.....261.9....8  ED=11.6/1.2/1.2
........1...234.....2..5.....6.7..8..87...1.992.....76..87..69..7......261.9....8  ED=11.6/1.2/1.2
........1......234....25..6..5..7....862.9...72.58..6..576.89...9..7....8.2......  ED=11.6/1.2/1.2
........1......234....25..6..5.67....8.2.9...72.58..6..57..89..69..7....8.2......  ED=11.6/1.2/1.2
........1......234....25..6..5..7....862.9...72..8..6..576.89...9..7....8.2.5....  ED=11.6/1.2/1.2
........1......234....25..6..5.67....8.2.9...72..8..6..57..89..69..7....8.2.5....  ED=11.6/1.2/1.2
........1...234.....2..5.....6.7.28..87...1.99......76.79......2.87..6..61.9....8  ED=11.6/1.2/1.2
........1...234.....2..5.....6.7.28..87...1.99......76.7.......2.87..69.61.9....8  ED=11.6/1.2/1.2
........1......234....25.....5..6....782.9...62.57..8..568.79...9..6....7.2...8..  ED=11.6/1.2/1.2
........1......234....25.....5.67....8.2.9...72.58..6..57..89..69..7....8.2...6..  ED=11.6/1.2/1.2
........1......234....25.....5..6....782.9...62..7..8..568.79...9..6....7.2.5.8..  ED=11.6/1.2/1.2
........1......234....25.....5.67....8.2.9...72..8..6..57..89..69..7....8.2.5.6..  ED=11.6/1.2/1.2
........1....23.....24.5.....67..28..87...1.99......76.7.......2.8.7.69.61..9...8  ED=11.6/1.2/1.2
........1....23.....24.5.....67..28..87...1.99......76.79......2.8.7.6..61..9...8  ED=11.6/1.2/1.2
........1......234....25.6...5..7....862.9...72..8...6.576.89...9..7....8.2.5....  ED=11.6/1.2/1.2
........1......234....25.6...5..7....862.9...72.58...6.576.89...9..7....8.2......  ED=11.6/1.2/1.2
........1.......2......3..4..2.35..6.3.7.82...5762.8...86....5.27.56....3...87...  ED=11.6/1.2/1.2
........1.......2......3..4..2.35..6.3.7.82...5762.8...86....5.27..6....3.5.87...  ED=11.6/1.2/1.2
........1.......2......3..4..2..5..6.3..782...5726.8...86.3..5.27.65....3..8.7...  ED=11.6/1.2/1.2
........1.......2......3..4..2..5..6.3..782...5726.8...86.3..5.27.6.....3.58.7...  ED=11.6/1.2/1.2
........1.......2......3..4..2.35..6.3.7.8..5.5762.8...86....5.27..6....3.5.87...  ED=11.6/1.2/1.2
........1.......2......3..4..2..5..6.3..78..5.5726.8...86.3..5.27.6.....3.58.7...  ED=11.6/1.2/1.2
........1.......2......3..4..3.5.2...5627.8..82.3.6..7.78....6.2.576....3..8.5...  ED=11.6/1.2/1.2
........1.......2......3..4..3.5.2...5627.8..82.3.6..7.78....6.2.57.....36.8.5...  ED=11.6/1.2/1.2
........1.......2......3..4..3.5.2...5627.8..82...6..7.78.3..6.2.576....3..8.5...  ED=11.6/1.2/1.2
........1.......2......3..4..3.5.2...5627.8..82...6..7.78.3..6.2.57.....36.8.5...  ED=11.6/1.2/1.2
........1.......2......3..4..3.5...6.5627.8..82.3.6..7.78....6.2.57.....36.8.5...  ED=11.6/1.2/1.2
........1.......2......3..4..3.5...6.5627.8..82...6..7.78.3..6.2.57.....36.8.5...  ED=11.6/1.2/1.2
.......12.....3..4..1...5.6..7.8.4.9.843.....91..47.....879.....4...1...73...8.9.  ED=11.6/1.2/1.2
.......12.....3..4..1...5.6....47.....718.4.9.843.9....49......1.87.....73...8.9.  ED=11.6/1.2/1.2
.......12......3.4....15.....1..6....6.17.8.9.875.9....98......17.6.....6.58.7.9.  ED=11.6/1.2/1.2
.......12......3.4....15.....1..6....6..7.8.9.875.9....98..1...17.6.....6.58.7.9.  ED=11.6/1.2/1.2
.......12.....3..4..1...5.6..7.8.4...843.9...91..47.....879.....4...1...73...8.9.  ED=11.6/1.2/1.2
.......12.....3..4..1...5.6..718.4...843.9...9...47....49......1.87.....73...8.9.  ED=11.6/1.2/1.2
.......12.....3..4..1...5.6..7.8.....49..1...83...7.9...87..4...74.39...91.4.8...  ED=11.6/1.2/1.2
........1....23.....24.5.....6.7.89..7......281..9...6..87...6..67...1.992.....78  ED=11.6/1.2/1.2
........1....23.....24.5.....6.7..8..79.....281..9...6..87..6...67....1992....7.8  ED=11.6/1.2/1.2
.......12......3.4....15.....617.8...785.9...91...6....89......1.76.....65.8.7.9.  ED=11.6/1.2/1.2
.......12......3.4....15.....6.7.8...785.9...91...6....89..1...1.76.....65.8.7.9.  ED=11.6/1.2/1.2
........1....23.45..21.436.........6.7.4......896..........5..42...16.535..3..12.  ED=11.6/1.2/1.2
........1....23.....4..5.....67..89..7......481.9...76.48.9.61.1.......896.....47  ED=11.6/1.2/1.2
........1....23.....4..5.....67..89..7.....1491.8..7.6.49.8..6.1.......986....4.7  ED=11.6/1.2/1.2
........1....23.....4..5.....6.....7.89....1471.9..86...7.8.4.6.68...19.94.....7.  ED=11.6/1.2/1.2
........1....23.....4..5.....6....78.9....1.481.7..69...8.9..46.69...71.74....8..  ED=11.6/1.2/1.2
........1....23.....4..5.....6.7..48.87...91.9.....6...79...1.44.8.....661.9..87.  ED=11.6/1.2/1.2
........1....23.....4..5.....6.7..48.87...91.9.....6...7....1.44.8....9661.9..87.  ED=11.6/1.2/1.2
........1....23.....4..5.....6.....7.89....1471.9..86...7.894.6.4.....7..68...19.  ED=11.6/1.2/1.2
........1....23.....4..5..........6...6.784.9.97...18..78....144.9.....661.8..79.  ED=11.6/1.2/1.2
........1....23.....4..5.....67...1..8.....9491.8..7.6.49.7..6.1.......976....4.8  ED=11.6/1.2/1.2
........1....23.....4..5.....67...1..87....9491.8....6.49.7..6..6....4.81......79  ED=11.6/1.2/1.2
........1....23.45.25.1.36.......6.4..7.6.....89..........52......63..1.5..1.4.23  ED=11.6/1.2/1.2
........1..2..3.....1.45.....67...1..8.....929..8..7.6.29.7..6.1.......976....2.8  ED=11.6/1.2/1.2
........1....2345...24.1.36.....61.4...3...2.12..453.....65.....7....5..89.......  ED=11.6/1.2/1.2
........1.......2......3..4..3.5...6.5627.8..82......7.78.3..6.2.576....3..8.5...  ED=11.6/1.2/1.2
........1...234.....2..5.....6...78..9......271.8..9.6..7.9..6..69...1.882......7  ED=11.6/1.2/1.2
........1...234.....2..5.....6...78..9......271.8..9.6..7.98.6..69...1..82......7  ED=11.6/1.2/1.2
........1....23.....4..5.....67......8.....9491.8..7.6.49.7.16.1.......976....4.8  ED=11.6/1.2/1.2
........1....23.45..21.436.........6.7.4......896..........51.42..3.....5...16.23  ED=11.6/1.2/1.2
........1....23.....4..5.....67......87....9491.8....6.49.7.16..6....4.81......79  ED=11.6/1.2/1.2
........1....23.4...45.126......26.....3.451..5.61..325....6...7.......389.......  ED=11.6/1.2/1.2
........1....23.4...45.126......2......3.451..5.61..325....6...7.......389......6  ED=11.6/1.2/1.2
........1....23.45..4..126.....526.....3.4.1..5.61..325....6...7.......389.......  ED=11.6/1.2/1.2
........1....23.45..4..126.....52......3.4.1..5.61..325....6...7.......389......6  ED=11.6/1.2/1.2
........1....2345...24.1.36...2.61.4...3...2..1..453.....6.....7.....5..895......  ED=11.6/1.2/1.2
........1....2345...24.1.36.....61.4...3...2.12..453.....6......7....5..895......  ED=11.6/1.2/1.2
........1....23.....24.5.....67.829..8......69.7...1...29...68.16..8.7.97........  ED=11.6/1.2/1.2
........1....23.....24.5...........6..67.829..97...1.8.78......2.9...6..61..8.7.9  ED=11.6/1.2/1.2
........1....23.....24.5.....67..28..87...1.99.......6.7.......2.8...69.61..9.7.8  ED=11.6/1.2/1.2
........1....23.....24.5.....67..28..87...1.99.......6.79......2.8...6..61..9.7.8  ED=11.6/1.2/1.2
........1.......2......3..4..2.3...5.3.6.7..8.8652.7...75....8.26.85....3...76...  ED=11.6/1.2/1.2
........1.......2......3..4..2.....5.3..67..8.8625.7...75.3..8.26.58....3..7.6...  ED=11.6/1.2/1.2
........1.......2......3..4..3.5...6.5627.8..82.3....7.78....6.2.576....3..8.5...  ED=11.6/1.2/1.2
........1....23.....24.5.....6...78..9......271..8.9.6..79.8.6..69...1..82......7  ED=11.6/1.2/1.2
........1....23.....24.5.....6....7..89.....271..9..86..78.96...2......7.68....19  ED=11.6/1.2/1.2
........1....23.....24.5.....6...78..9......271..8.9.6..79...6..69...1.882......7  ED=11.6/1.2/1.2
........1....23.....24.5.....6....7..89.....271..9..86..78..6...68....1992......7  ED=11.6/1.2/1.2
mith
 
Posts: 889
Joined: 14 July 2020

Re: The hardest sudokus (new thread)

Postby mith » Thu Mar 10, 2022 8:22 pm

rangsk (from CTC discord) has a minlex tool which does not have this bug: https://github.com/dclamage/SudokuClassicMinLex Unfortunately, it's currently far too slow to consider converting all the puzzles in the database. (His work on this developed initially as an anti-knight and sudoku x minlex tool for the purpose of finding minimal clue counts for those constraints.) I might run this on the 11.6+ puzzles (either minimal or expanded form, or both), but I would still need to keep the gsf version in the database as a consistent check for uniqueness.

We did a quick test with one of Denis' controlled-bias sets and came up with an error rate of around 10% for gsf's minlex. We think the error has something to do with finding the lexically minimal *pattern* and then only finding the minlex from the subset of puzzles with that pattern - this fails to take into account cases like JPF's example, where the true minlex has repeated 1s in band 1 (and is therefore not the minimal pattern).

I also think maxlex would be far less prone to this sort of error, and probably faster to compute, but since neither gsf nor rangsk's tool currently supports this I haven't pursued testing accuracy or speed.
mith
 
Posts: 889
Joined: 14 July 2020

Re: The hardest sudokus (new thread)

Postby coloin » Thu Mar 10, 2022 9:25 pm

swb01 also ? has developed a minlexer
Minlex Routine
maybe it is faster ....

I agree that the max lex format might well be a way to eradicate any error - although 18/27 clue puzzles with 2/3 clues in each row will challenge it as before

at any rate the pseudominlexer from gsf seems to convert the real minlex to its pseudo minlex rather consistantly !!
coloin
 
Posts: 2283
Joined: 05 May 2005
Location: Devon

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