The New Sudoku Players' Forum

Website · by **denis_berthier** » Wed Jun 18, 2025 4:49 am

coloin wrote:The fact that they all all have a tridagon is probably expected.

It's expected in an informal sense, because all the known BxB ≥ 7 have one - except the 3 old ones in B7B. As these 3 old ones are not related to the pattern (at least not in any obvious way), one can't exclude that new B7B puzzles with no tridagon might appear some day. But it's unlikely with the current search techniques (starting from puzzles that have a tridagon).
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by **hendrik_monard** » Wed Jun 18, 2025 4:36 pm

Paquita wrote:
The next batch, B9B, a few B10B, and B12B. This ends now, until I get new resources from Coloin or Hendrik.

My solutions novelty checker found 31 new solutions in your lists of June 15th and June 17th (16 on June 15th and 15 on June 17th).
It also revealed a particular case of different BxB ratings for two puzzles with the same solution in the domain x>=7

Code: Select all: 1.3.56....571....668.7.3..1......9..378....65.......2.7.583.6..81...5....36..7... 10 250423 monh 123456789457189236689723541264578913378912465591364827745831692812695374936247158 ....56....5.1....668.7.3..1......9..378....65.......2.7.583.6..81...537..36..7... 9 250617 paq

This possibility was earlier put forward in this thread but was based on a typo for one of the puzzles.

I'll add the 31 solutions to the 'B7B+' solutions database, bringing the new total to 855.
https://drive.google.com/file/d/1Lb_PQom1U0nJKlnBUPGzSSU52xodO2de/view?usp=sharing

by **coloin** » Wed Jun 18, 2025 9:17 pm

Interesting observation....
Here are the max expands for Paquitas puzzles... 5 expands were in hendriks last list [which would have been BXB-Mastermin5] 2 of the 12s were also posted before.

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Code: Select all: 12..56....57.8...66.8..7..................39....5218.7.618.2...5.2.7.1..78..15.2. #1# 9052 FNBP C31/M2.60.109# 7# hendrik 12..56....57.8...66.8..7.........39.............5218.7.618.2...5.2.7.1..87..15.2. #1# 9170 FNBP C31/M2.59.111# 7# hendrik ......7.....1892.6.......4.2.98.1..5.61.25...58.69...2..291....8.65.2...91..68.2. #3# 30257 FNBP C33/M2.97.67 #10# hendrik ......7.....1892.6.......4.28.69...5.61.25...5.98.1..2..291....8.65.2...91..68.2. #3# 30718 FNBP C33/M2.97.67 #10# hendrik 1.3.56....5718...668.7.3..1......9..378....65.......2.7.583.6..81.6.5....36..7... #3# 30140 FNBP C33/M2.97.67 #10# hendrik ..3.5678...718..36..8...1.....6.13.7....75.18...83.56...65......91.....3.4.....7. #1# 9048 FNBP C31/M2.60.109# 7# ..3.5678...718..36..8...1.....6.13.7....75.68...83.51..91.....3..65......4.....7. #1# 9093 FNBP C31/M2.59.111# 7# ....5.78..5.18..36.8.7..1.5....673.13.651..78...3.8.6.57.631.....4......9........ #1# 524 FNBP C32/M1.1.40 # 9# ....56..945..8.......2....1.14....983.8...1..59....3.4.45.1.9.383..9..15....3.84. #1# 442 FNBP C32/M1.1.40 # 9# ...456.89.......3.......1..2.589....69..45.2...46.2....495.8..25.2.64..886.92.... #4# 300 FNBP C33/M1.2.54 # 9# .2....78.4.7...2.668.....5427.6...48.648..5.75.87..62.....3.....4.5.1......2..4.5 #4# 305 FNBP C33/M1.2.54 # 9# .2.45..89.5..8912..8.1.25.4.4....91.61..9......7.........5.849.....4.8.2...92..51 #4# 277 FNBP C33/M1.2.54 # 9# .2.45..89.5..8912..8.1.25.4.4....91.61..9......7.........9.845.....4.8.2...52..91 #4# 277 FNBP C33/M1.2.54 # 9# 1...56....5.18...668.3.7..1......9.........2.738....653.587.6..81.6.537..76..3... #2# 48019 FNBP C33/M2.106.61# 9# 1...56....5.18...668.3.7..1......9.........2.738....6531.8.567.8.567.3...76..3... #2# 48019 FNBP C33/M2.106.61# 9# 1...56....5.18...668.7.3..1......9..378....65.......2.7.583.6..81.6.537..36..7... #1# 57170 FNBP C33/M2.107.61# 9# 12......94.71.9...689.....5..19.534...4.319.7...74..5131.5.7.94.4.3..........4..3 #2# 1336 FNBP C35/M1.2.23 # 9# 12..5.7.9.57...26.6.9.7..5126.9.517.7......9..9...7......5.4.1.51.76.......318.2. #2# 1336 FNBP C35/M1.2.23 # 9# 12....7.9.571..26.6.97...51....376.....6489..7.62.1...5...1......1...5..9.2.751.6 #1# 1932 FNBP C35/M1.2.23 # 9# 1..4.6.8.4..18.2.66...3241.2.9.......7.....2.81462........61.4....34.....4.2.836. #2# 5785 FNBP C33/M2.63.104# 9# 1..4.6.8.4..18.2.66...3214.2.9.......7.....2.84162........64.1....31.....1.2.836. #2# 5785 FNBP C33/M2.63.104# 9# ...45.7.94..7.9.327...3254...1.......7....293.6............5.24...3.497..4.92.3.5 #5# 63746 FNBP C32/M2.56.117# 9# ...45.7.94..7.9.327...3254...1.......7....293.6............5.24...9.437..4.32.9.5 #5# 63746 FNBP C32/M2.56.117# 9# 12..56.8..5718....6.87.2.1.........4...267..8......3..5..6.1...7.1.28....6257...1 #5# 62890 FNBP C32/M2.56.117# 9# 12..56.8..5718....6.82.7.1.........4...762..8......3..5..6.1...7.1.28....6257...1 #5# 62890 FNBP C32/M2.56.117# 9# ...4.6.89..6.891.2..921.64..3.......5........6.....218....9286.....4.9.19..1.8.24 #5# 64549 FNBP C32/M2.56.117# 9# .234..7.945.7...327.92..54.2.....4.3......92.93...2.573..5.8...5..31........24375 #4# 21290 FNBP C36/M2.54.121#10# .234..7.945.7...327.92..54.2.....4.3......92.93...2.573..51....5..3.8.......24375 #4# 21290 FNBP C36/M2.54.121#10# .234..7.945.7...327.92..54.2.....4.3......92.93...2.753..5.8...5..31........24357 #4# 21290 FNBP C36/M2.54.121#10# .234..7.945.7...327.92..54.2.....4.3......92.93...2.753..51....5..3.8.......24357 #4# 21290 FNBP C36/M2.54.121#10# .23....8.45..8..366.8.........9.4...3.4825.......7..4.5.2..83.4.46..3.2883...2.5. #1# 17243 FNBP C33/M2.72.91 #10# .234..7.94.6....2379.2..64......8.......1....967.2....3.9.4..67.42...39.67....4.. #4# 64540 FNBP C32/M2.50.131#10# .234.6...4.6.89.2.89.23..4.2.496....38..2.....693.82..........7......5..938...4.. #4# 64424 FNBP C32/M2.50.131#10# 12.....89.5....2.66.9...15.29.5..6.8.652...918.19..52......7.........81..1.84.... #4# 62381 FNBP C32/M2.50.131#10# 12.....89.5....2.66.9...15.29.5..6.8.659...218.12..59......7.........81..1.84.... #4# 62381 FNBP C32/M2.50.131#10# ..3.5678...718..36......1.529..71....35....71741.6....38.61.5.7.......63....3.81. #5# 1966 FNBP C35/M1.1.46 #12# 12.4.67..4.718.2...68.27...24....8.7....4..92....6.453.1.....7.68..74.217...1.... #5# 1965 FNBP C35/M1.1.46 #12# ..3.567.9..71.9.36...73.51.23.....9..71.93...849....5.36..1597.7...6.........7.6. #5# 1966 FNBP C35/M1.1.46 #12# 12......94.71.9...689.....5..49.135...1.439.7...57..4131.7.5.94.4.3..........4..3 #5# 1965 FNBP C35/M1.1.46 #12# ..3.567.9..71.9.36...73.51.286.1....34..6....7.5....63.7.....9.....9...793.67..51 #5# 1965 FNBP C35/M1.1.46 #12# 1.3...78..571...3668.7..5.1...6.7.183..892...8...41...5.......77.8.15.63....7..5. #2# 1000 FNBP C35/M1.2.23 #12# posted .23.56......18.2.3...2734..2.659.34..45......93....5..3.4......56...29.4.92..563. #2# 1000 FNBP C35/M1.2.23 #12# posted

will add these [apart from the initial 5]and post a link to large file of minimls.
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Code: Select all: ..3.567.9..71.9.36...73.15.281..7...635....17..9.1....3...7..95....6.37.......6.1 #7 # 95039 FNBP C34/M2.55.595 ## 7# ED=11.7/11.7/2.6 .2..567.9.5.1.926....27..15.6..1....318..2...975...12.5...2.67.....9..52......9.1 #7 # 95039 FNBP C34/M2.55.595 ## 7# ED=11.7/11.7/2.6 1......89.5.18.2.6......15...16.5.98..591.62.....285.13.2......596....127.82..... #7 # 95044 FNBP C34/M2.55.595 ## 7# ED=11.7/11.7/2.6 1......89.5.18.2.6......15...16.5.98..592.61.....185.23.2......596....217.82..... #7 # 95044 FNBP C34/M2.55.595 ## 7# ED=11.7/11.7/2.6 1...567.9...1.9.366..37.15..1..63.95......6.1..6...37.3.2.9....571...96.9.8...... #7 # 95038 FNBP C34/M2.55.595 ## 7# ED=11.7/11.7/2.6 1...567.9...1.9.369..37.15..1..93.65......9.1..9...37.3.2.6....571...69.6.8...... #7 # 95038 FNBP C34/M2.55.595 ## 7# ED=11.7/11.7/2.6 1.3.5.7.9.57....3696..3.51.......35.57.3...61.....59.7....64...6...72......9136.5 #7 # 95036 FNBP C34/M2.55.595 ## 7# ED=11.7/11.7/2.6 ...45.7.94..7.9.327...2354..61...3.43.....9..5.73.4.....253.49....9.2.......472.. #1 # 1420 FNBP C34/M1.1.41 ## 8# ED=11.6/11.6/3.6 ...4..7...571.92.......7.....5...6.8..1...352...5.2.97.49.71.2.51.24..7.7.29.5... #4 # 47521 FNBP C33/M2.73.89 ## 9# ED=11.7/11.7/3.4 1.3....89.57.89...698..........94....7.5.892..8.72..54....42.7.7.28.5.9....97.... #4 # 48826 FNBP C33/M2.73.89 ## 9# ED=11.7/11.7/3.4 1.3....89.57.89...698..........94....7.8.592..8.72..54....42.7.7.25.8.9....97.... #4 # 48826 FNBP C33/M2.73.89 ## 9# ED=11.7/11.7/3.4 12..5.78..57.8.2.66.8....15...968.7.8.6.15......3.4.6...25.....5........7.18..65. #4 # 48885 FNBP C33/M2.73.89 ## 9# ED=11.7/11.7/3.4 ...45........8..3.7...13...2......98.68...27.97.8..3.6.37...82.6.2..89.389.....67 #2 # 44287 FNBP C32/M2.48.544 ## 9# ED=11.6/11.6/10. ...45........8..3.7...13...2......98.78...26.96.8..3.7.37...82.6.2..89.389.....76 #2 # 44287 FNBP C32/M2.48.544 ## 9# ED=11.6/11.6/10. ...45.78...7.89...6.8723....76.15.48..5...1.7......65........647.45..8.1.618..57. #3 # 1900 FNBP C35/M1.1.47 ## 9# ED=11.6/11.6/3.4 ...45.78...7.89...6.8723....76.15.48..5...1.7......65........647.48..5.1.615..87. #3 # 1900 FNBP C35/M1.1.47 ## 9# ED=11.6/11.6/3.4 12..5678....18.2.....7.2...2.65.8...54....8..938...5.7..28.517...521.6.8....67... #3 # 1900 FNBP C35/M1.1.47 ## 9# ED=11.6/11.6/3.4 1.3.56.8..57......68.7.3.1..38..51.656...1...7.1.........5.89.4......25...5....31 #2 # 887 FNBP C31/M1.1.69 ## 9# ED=11.7/11.7/2.6 12....78.4.7.8.2.6.68....1424.86........23..1...9.5..2.7...8...61...4.288........ #2 # 1154 FNBP C31/M1.1.69 ## 9# ED=11.7/11.7/2.6 12..56...457....366.9.....5...5.3....1..68.52.6.21.3.8....31......8.5..18.162.5.3 #3 # 6481 FNBP C35/M2.145.45 ## 9# ED=11.7/11.7/3.4 12..56...457....366.9.....5...5.3....6..18.52.1.26.3.8....31......8.5..18.162.5.3 #3 # 6481 FNBP C35/M2.145.45 ## 9# ED=11.7/11.7/3.4 12..56...457....366.9.....5...5.3....6..18.52.1.62.3.8....31......8.5..18.126.5.3 #3 # 6481 FNBP C35/M2.145.45 ## 9# ED=11.7/11.7/3.4 12.4.67..4.718.2...8..271..2.1.7....76........4861..27....6.49..14...8.2....4...3 #2 # 1000 FNBP C34/M1.4.11 ## 9# ED=11.6/11.6/2.6 12.4.67..4.718.2...8..274..2.4.7....76........1864..27....6.19..41...8.2....1...3 #2 # 1000 FNBP C34/M1.4.11 ## 9# ED=11.6/11.6/2.6 ..34.6...4.718..36....73....46.183.....7.4...7.163.8....4....28.7....495...84.1.3 #1 # 4097 FNBP C34/M2.135.96 ## 9# ED=11.7/11.7/7.1 ......7.9.571...3669.3..15....64.....16.28......9.36...3.....65.6..359.1......37. #1 # 4311 FNBP C31/M2.195.33 ## 9# ED=11.7/11.7/2.6 ....5..89.5.18.2.3......51.295....383.4.......6..3....5..82..918...953.29..3.185. #4# 718 FNBP C34/M1.3.43 ##10# ED=11.7/11.7/2.6 1.3456...4.7......69....4.....3.58.....84.....3..6154.3..6.4.585...1836....53.1.4 #4# 718 FNBP C34/M1.3.43 ##10# ED=11.7/11.7/2.6 1.3456...4.7......69....4.....3.58.....84.....3..6154.3..6.4.585...3816....51.3.4 #4# 718 FNBP C34/M1.3.43 ##10# ED=11.7/11.7/2.6 12..5..89.5....23.......1.528.5..31..352...989.13..5.2.9..7.......9.4......83592. #4# 718 FNBP C34/M1.3.43 ##10# ED=11.7/11.7/2.6 .2345.7..45.7.9...7.9.325.....9..31..35...4.7........63.459..7257.2......92...... #3# 828 FNBP C33/M1.1.42 #3#11# ED=11.8/11.8/3.6 1..4.6.......892.66...3....2.1.7.69........717.....8.2.72..816.81...29.79.6....28 #3# 828 FNBP C33/M1.1.42 #3#11# ED=11.8/11.8/3.6 1..4.6.......892.66...3....2.1.7.69........717.....8.2.76..812.81...29.79.2....68 #3# 828 FNBP C33/M1.1.42 #3#11# ED=11.8/11.8/3.6 .23....8.45..8..368.6.........7.5.......9..5..35824...36...284.5.2..86.3.84..3.25 #1# 6539 FNBP C34/M2.91.72 #1#11# ED=11.7/11.7/2.6

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Code: Select all: ..345..89....8923...92.35.4...39..5..3..48.92.9.5.....3.89.4....64.......12....4. # 1# 95757 FNBP C33/M2.44.149 # 7# 1..4...8945....12..891..5.42.8.4.....41...8..59..184.2....7.......96.2..9.45.1... # 1# 1543 FNBP C33/M1.1.38 # 7# 123...7.945.7.....78.......2..1.739.....92.749..34.2.1......92...29.4.17.9....4.3 # 8# 88509 FNBP C34/M2.54.605 # 7# 123...7.945.7.....78.......2..34.9.1....92.749..1.732.......29...29.4.17.9....4.3 # 8# 88737 FNBP C34/M2.54.605 # 7# 123...7.945.7.....78.......2..34.9.1....97.249..1.237.......29...29.4.17.9....4.3 # 8# 88737 FNBP C34/M2.54.605 # 7# 123...7.945.7.....78.......2..19.4.3....42.979..3.721.......92...29.4.71.9....3.4 # 8# 88737 FNBP C34/M2.54.605 # 7# 123...7.945.7.....78.......2..19.3.4....42.979..3.721.......92...29.4.71.9....4.3 # 8# 88737 FNBP C34/M2.54.605 # 7# .23......456...12..98..2.....1...94.6..9.1.52......6.1.6..1549....29..16.1.6.42.5 # 8# 90022 FNBP C34/M2.54.605 # 7# .23......456...12..98..2.....1...49.6..9.1.52......6.1.6..1594....29..16.1.6.42.5 # 8# 90022 FNBP C34/M2.54.605 # 7# .23......456...12..98..2.....1...94.6..9.1.52......6.1.6..9541....21..96.1.6.42.5 # 8# 90022 FNBP C34/M2.54.605 # 7# 1.3.567...5718....86.7.35.......184.......19.7.1...6533.8....7.57........168.7..5 # 1# 95035 FNBP C34/M2.55.595 # 7# 1.3.56..945...9....69.......4196.5..3.65.4...59..134..6.5...3.4...6.5.28.....16.. # 4# 924 FNBP C34/M1.1.40 # 7# .23.5.7.945.....237.9.3.54.......47..34..7.92.7....3.534.6.8.......25.34.9..4.... # 4# 924 FNBP C34/M1.1.40 # 7# ....567.9.5.1.9.36.9.73.15.2.4.75....7...1...96....5.73..5.76.1......37......3.95 # 4# 1355 FNBP C34/M1.1.40 # 7# ....567.9.5.1.9.36.6.73.15.2.4.75...69....5.7.7...1...3..5.79.1......37......3.65 # 4# 1355 FNBP C34/M1.1.40 # 7# ...45.........9...689.27...2.8....1..16......97.21.86...2..197.7.1....2889...26.1 # 2# 95132 FNBP C32/M2.35.748 # 8# ...45.........9...689.27...29...16.8..1..297.7.8....21.16......8.2....1.97.21.86. # 2# 95132 FNBP C32/M2.35.748 # 8# ....567.9.5.1.9.36.6.37.51..947.....316....75.78......6..59.1.7..5....93......65. #10# 95084 FNBP C34/M2.49.665 # 8# ....567.9.5.1.9.36.9.73.51..78....6.31569.....64......5...61.97..937.......9.5... #10# 95080 FNBP C34/M2.49.665 # 8# ...45......7.89.3....3.7.5.241.....3.8.....4.795.34......7.349..7..983.5.3.54..78 #10# 95075 FNBP C34/M2.49.665 # 8# ..3.567.9..71.9.36...37.15...6....1.841.....7935.17...3...65.7....73..9....9.1... #10# 95079 FNBP C34/M2.49.665 # 8# ..3.567.9..71.9.36...73.15...6....1.841.....7935.17...3...65.7....37..9....9.1... #10# 95079 FNBP C34/M2.49.665 # 8# 1...567.9...1.9.366..37.51..1..63.95......6.1..6...37.3.8.9....571...96.9.2...... #10# 95071 FNBP C34/M2.49.665 # 8# 1.3...78..571...3668.3..1.5.75......3.1....5.86...3.1....794..171.835......6...7. #10# 95075 FNBP C34/M2.49.665 # 8# 1.3..678..57....3686...31.5......6.367.3...51....6.87.....25...5...47......83156. #10# 95068 FNBP C34/M2.49.665 # 8# 1.3.567...5718....68.7.35......1.6.......719271....8533.1......86..7...5.75.3.... #10# 95078 FNBP C34/M2.49.665 # 8# 12.4.6...4.718...6.68.72..4....64....162.8.4....71.6........5.2...62.478..2...3.1 #10# 95072 FNBP C34/M2.49.665 # 8# 12.456.......89..66...3....2...7.6.8.......727.682.91..71..8.6.8.2..7.9196....8.7 # 2# 97771 FNBP C35/M2.25.1834# 8# 1...56......18...668.2.71.521.7.....5.8.12....768.5.1.....78.217.......486....973 # 2# 97772 FNBP C35/M2.25.1834# 8# .234..78.4.7....3668.........689.......72..68.48..1.....2....43....4.62..64.328.7 # 2# 95878 FNBP C33/M2.33.198 # 8# ...4.67.9.57.8......97.2....95.61.47..6...5.1.....569.5.1...9.4.645..17.97....... # 2# 95903 FNBP C33/M2.33.198 # 8# 1.34.....4.........8923.......3...78.38...91....8.23.53.2...1...4192.8..89.1.34.. # 1# 378 FNBP C32/M1.1.38 # 9# 1...5.78....1....66.....1.5...56847....2.7...7..3.4...5.1...8.486...5.17.74..156. # 1# 1034 FNBP C33/M2.72.91 # 8# .234.6......18.23...9.3....2...1.9.33.8.2..15.91...82........52..5...19.9.25.13.8 # 1# 4580 FNBP C34/M1.1.69 # 8# 1..4..78.4.718.2.3.......1424.967...7..5........8.34..3.2..8..1.74..18.281....3.. # 4# 95563 FNBP C34/M2.33.1386# 8# 1.3..6..945.1.9.36.69...........1..86.....4.3....651723...94...59.61.3...4.5.39.. # 4# 95552 FNBP C34/M2.33.1386# 8# 1.3..6..945.1.9.36.96...........1..8....951729.....4.33...64...56.91.3...4.5.36.. # 4# 95552 FNBP C34/M2.33.1386# 8# ...4.6...4.7.892.66..27...424..9.....76.28.4.9.8..4.2.....6..927.......586....173 # 4# 95537 FNBP C34/M2.33.1386# 8# ..34.6......18.23...9732....35..189....5..1....1....5.31..2.9.55.8.1.32..92....18 # 2# 1507 FNBP C34/M1.2.22 # 9# 1.3.......5718...686.7.3..5.36......51.3.867.7.86........8..95.....3.428.85....61 # 2# 1503 FNBP C34/M1.2.22 # 9# 1.3...78..571...3686.7..1.5....7..1.37..61.58.1......7....92......8........51.863 # 3# 1284 FNBP C32/M1.2.46 # 9# 1.3.56.8..57....3.86.7.3.1..35..8...61.5.7...7.8..........7195.57.....63.....54.. # 3# 1286 FNBP C32/M1.2.46 # 9# 12...67.9.57..9...6.9..2.5121....5.77.6.......95.....6....4...557.9.1.......35.72 # 3# 1283 FNBP C32/M1.2.46 # 9# 1.3..67.9.57..9.6369....15..7596.......84.5.....2.53....96......6....9...3179.6.5 # 2# 95239 FNBP C34/M2.69.95 # 9# 12..567...5718.2..6.82.7...2..7.........2...778.56..215.....8.48......93...81..72 # 2# 95232 FNBP C34/M2.69.95 # 9# 12....78..571..2.66.87...15....436.....6978..7.62.....5........8.2.7516...1...5.. # 1# 1999 FNBP C33/M1.2.48 # 9# ...4.6...45678........13...2.46..8.7.758...2686....45..8..2......2.....8.47.685.2 # 1# 425 FNBP C33/M1.2.39 # 9# ..3.5678...718..36......1.5246.71...3.5....7.79..............1383.61.5.7....3.86. # 1# 3041 FNBP C33/M2.102.64 # 9# ..345.7.9...7.9.32..9.3254.......47......4.9394..732.5.1.......6.5.......92...357 # 3# 2067 FNBP C33/M1.1.69 #11# .2...6...45.....366.9..7.........8.7.....8.53....7346.3..7.5.485..83.67.8...643.5 # 3# 2069 FNBP C33/M1.1.69 #11# .2...6...45.....366.9..7.........8.7.....8.53....7346.3..7.5.485..86.37.8...346.5 # 3# 2069 FNBP C33/M1.1.69 #11# .23....8.45..8..368.6.........9.5.......7..5..35824...36...28.55.2..8.43.48..362. # 3# 6677 FNBP C34/M2.95.69 #11# .2345.7..45.7.9...7.9.325........96....9..3.1935...47.3.459...757.2......92...... # 3# 6879 FNBP C34/M2.95.69 #11# 1.3..678..57....3668...35.1..8....635.6.3.1.7......85...5.91......2.5......3.7615 # 3# 6477 FNBP C34/M2.95.69 #11# 1...567.9...1.9.366..37.51..7..93.65...61..7....5.7...31.96.....8.....9.9.2....5. # 8# 1212 FNBP C33/M1.1.42 #11# 12..56....5718...68.62.7..5.8..65....617.285....81.....1.....97......4.....67.5.2 # 8# 1212 FNBP C33/M1.1.42 #11# ..3.567.9..71.9.36...37.51.2.59......4.5......31....57......69....6...73.6.79.1.5 # 8# 828 FNBP C33/M1.1.42 #11# ....567.9.5.1.9.36.9.37.51...176.3.5...9.5..1....13....695.7.....4.....787......3 # 8# 1212 FNBP C33/M1.1.42 #11# ..3.567.9..71.9.36...37.51.2.....1..7.5.13....41...6.....96........379..9..5.136. # 8# 833 FNBP C33/M1.1.42 #11# 1...567.9...1.9.366..37.51........57.....56.1..57.139.38...7.....2..3...9.6...1.3 # 8# 833 FNBP C33/M1.1.42 #11# ....567.9.5.1.9.36.9.37.51..64.1....57....69.8...6....3...91.67....3.95.......1.3 # 8# 1212 FNBP C33/M1.1.42 #11# 12..5678..57.8....6.8......21.8.5..78.6.72..5.7561...........9.5.2....71....6.3.2 # 8# 833 FNBP C33/M1.1.42 #11# 1.3.56.8..5718..3.68.7.3....76...85.....7..62....6.4..56..371..7.1.......38.1.... # 1# 20149 FNBP C33/M2.54.121 #11# ....5..89.5.18.23.......5.12.6.1....39.....12.4..2.......29.1.88...31.959..8.532. # 2# 50376 FNBP C33/M2.56.117 #11# 12....78......92.6.......4.27..185...859.7...9.152.8...18..5...59.......7.2.91.58 # 2# 52296 FNBP C33/M2.56.117 #11# .23....8.45.....368.6.........7...5.3.52.4.......95.6.54...28.36.8..3.25.32..864. #11# 812 FNBP C33/M1.3.14 #11# 12.4.67..4.718.2...68.72.........6.3...26187........9..126.8.47....14.....472.... #11# 812 FNBP C33/M1.3.14 #11# 1.3......45.1.9....89..3....98.143..3.15.89..54.93.8.......152......5..79.5...4.8 #11# 812 FNBP C33/M1.3.14 #11# 1.3......45.1.9....98..3....89.143..3.15.89..54.93.8.......152......5..79.5...4.8 #11# 812 FNBP C33/M1.3.14 #11# ....5..89...18.23.......1.524..1....3.9...8.2..6.2....5...31.988..29.5.19..8.532. #11# 812 FNBP C33/M1.3.14 #11# ...45678.......2.........41.867.4...3.4.65.7.57.83..6....5.3....3.67.....65.483.7 #11# 812 FNBP C33/M1.3.14 #11# ...45678.......2.........41.768.4...3.4.65.7.58.73..6....5.3....3.67.....65.483.7 #11# 812 FNBP C33/M1.3.14 #11# ...45678.......2.........41.768.4...3.4.75.6.58.63..7....5.3....3.76.....65.483.7 #11# 812 FNBP C33/M1.3.14 #11# ..3.567.9..71.9.36...37.51.2........3.1...957.45.........6...7363.79.1.5......69. #11# 830 FNBP C33/M1.3.14 #11# ....567.9..71.9.36..937.51..75...6938.6.......4...........1.97.......3.171..93.65 #11# 812 FNBP C33/M1.3.14 #11# ....5..89...18.23.......5.124..1....3.9...8.2..6.2....5...31.988..29.1.59..8.532. #11# 812 FNBP C33/M1.3.14 #11# 1.34.678....18........371.....87.36..7...34.8.3.6.4.7134.768...5.....6...62...8.. # 3# 1062 FNBP C34/M1.4.11 #11# .234..78.4.7....6386.3..4..2.....3.43.6.4287........26...8.46376..79....7....5... # 3# 1062 FNBP C34/M1.4.11 #11# 1.3....8..5718..3668.........1..38.73.8..165.57...8.1373..15......9.7.6.....2..7. # 3# 1040 FNBP C34/M1.4.11 #11# ..3.5678...718..36...3.71..24.......7.853....93.....1.3..81.56.....6....6..7..... # 2# 539 FNBP C30/M1.1.44 #13# 1...56....5718...668.2.7..527.81..5....7.........6..7..1....59.......34....52..68 # 2# 539 FNBP C30/M1.1.44 #13# 12..567...571.92..6.927......5...678....679.2..6....43.61.95.2...2.1.........2..1 # 4# 3660 FNBP C34/M1.1.66 #13# ...45.78...7.89...6..732....618...54......6.77.45..81..76.154.8.......65..5...17. # 4# 3662 FNBP C34/M1.1.66 #13# ..34.6...4.718..36....37....416.38.....74....7.6.183....4....28.7....495...8.41.3 # 4# 3670 FNBP C34/M1.1.66 #13# ..34.6...4.718..36....37....416.83.....74....7.6.138....4....28.7....495...8.41.3 # 4# 3670 FNBP C34/M1.1.66 #13# .234.6......18.23...9327...2.5.3.81.......9.2.98.1..53......12...1....959.25.13.8 # 3# 1944 FNBP C35/M1.4.15 #13# .234.6......18.23...9327...2.8.1.35.......9.2.95.3..18......12...1....959.25.18.3 # 3# 1944 FNBP C35/M1.4.15 #13# .234...8945....23.8.92..5.4..4...8...35.2849..8..4........179.....9623...925.4... # 3# 1943 FNBP C35/M1.4.15 #13# 1...56....5718...668.2.7..527.81..5....7.........6..7.......54..1....39....52..68 # 2# 95072 FNBP C30/M2.88.74 #13# ..3.5678...718..36...3.71..23.......7.853....94.....1.3..81.56.....6....6..7..... # 2# 95073 FNBP C30/M2.88.74 #13#

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Code: Select all: .2.45..89.5..8923..8.2.34.52.53.89.4...5..82........53...9.....7.1.......42...3.. # 2# 95238 FNBP C32/M2.42.468 ## 7 1...56......18....68.2.7..52.65.8...57..12.6..1876.......871.2.7.....9..8.....37. # 2# 95226 FNBP C32/M2.42.468 ## 7 ....56.8..5718..3.68.7.3.1..18......53.......7.6..8....65....71...63.9.....8...62 # 1# 26362 FNBP C30/M2.56.117 ## 7 ....567...5718.26...62.7.....5...9.1..1...3......126.8.68.21..751.76...27.28....6 # 5# 34386 FNBP C35/M2.87.225 ## 8 ...4.67..4.718.2.6....27....8.6.417..4.2...68....184.2369...82..14862.........6.. # 5# 34521 FNBP C35/M2.87.225 ## 8 ...4.67..4.718.2.6....27....8.6.417..4.8...62....124.8369...82..14268.........6.. # 5# 34521 FNBP C35/M2.87.225 ## 8 .234..78.4.7....6368.7..4.....37.648..8.......64891..........268.6.273.4..2...87. # 5# 36256 FNBP C35/M2.87.225 ## 8 12..5.7...571.92..8.9.271...8....96....9.257..9.....4..18.95.27.7.21.......7.8.1. # 5# 33244 FNBP C35/M2.87.225 ## 8 ...4.67.94...89.366..73.4...6439..78...6.7..4....48...3.......7.15......9.68.3... # 5# 15459 FNBP C32/M2.52.504 ## 8 1.345.......1.9.3......2.1...5....7.37........14.7..635.6...34.73.6...51.415..6.7 # 5# 15684 FNBP C32/M2.52.504 ## 8 1.345.......1.9.3......2.1...5....7.73........14.7..6337.6...515.6...34..415..6.7 # 5# 15684 FNBP C32/M2.52.504 ## 8 1.345.......1.9.3......2.1...5....7.73........41.7..6337.6...515.6...34..145..6.7 # 5# 15684 FNBP C32/M2.52.504 ## 8 1.345.......1.9.3......2.1...5....7.73........41.7..6331.6...575.6...34..745..6.1 # 5# 15684 FNBP C32/M2.52.504 ## 8 ..3.5678...718..36...7.35.12.......8.3187....9.8.....536..18.577...3.......6.7..3 # 1# 3147 FNBP C34/M2.94.207 ## 8 .2.....8....18..36......5.42..6.8.7.76.32.....38.71.6..7.26.....128.36.7....17... # 5# 16474 FNBP C32/M2.60.436 ## 8 1.345.......1.9.3......2.1...5....7.37........14.7..635.6...34.74.6...51.315..6.7 # 5# 15915 FNBP C32/M2.60.436 ## 8 1.345.......1.9.3......2.1...5....7.73........41.7..633.4...65.51.6...47.765..3.1 # 5# 15915 FNBP C32/M2.60.436 ## 8 1.345.......1.9.3......2.1...5....7.73........41.7..633.4...65.57.6...41.165..3.7 # 5# 15915 FNBP C32/M2.60.436 ## 8 12..567.9.57..9...6.9......27.5...9..159.7...9.6.21.7.......4.3.....5.2..62....17 # 5# 15955 FNBP C32/M2.60.436 ## 8 12....7.9...1...3....2...412.6....7..1972.6..87.6......82.1....7.196...896.8.2... # 1# 95201 FNBP C32/M2.36.182 ## 8 1.3.56....571.9.3.69.73..1.........85......72....7316.3.56.79.1....95..39..31.... # 2# 22070 FNBP C34/M2.88.74 ## 8 12..5.7.9.57...26.6.9.7..5126...197.7.5....1..91.......72.65.......2..9....3.8.27 # 2# 22082 FNBP C34/M2.88.74 ## 8 1.34.67....718....68..734...74.3....31.......8.6.41..3.61...8.7....1.69.....6..5. # 1# 14716 FNBP C32/M2.38.688 ## 8 ...45.........9.3.69..72...2.971..6.37.....1..16.......31...97.76...1.239.2..76.1 # 2# 30464 FNBP C32/M2.68.384 ## 8 ...45.........9.3.69..72...2.9..76.1.31...97.76...1.2337.....1..16......9.271..6. # 2# 30916 FNBP C32/M2.68.384 ## 8 ..34.6...4.718..36....73....416.83..7.6.348.....71.....78...425..4....98...84.1.3 # 1# 1325 FNBP C35/M1.3.23 ## 9 ..34.6...4.718..36....37....416.38..7.6.483.....71.....78...425.......98...8..1.3 # 2# 3056 FNBP C33/M2.81.81 ## 9 ..34.6...4.718..36....37....416.83..7.6.438.....71.....78...425.......98...8..1.3 # 2# 3056 FNBP C33/M2.81.81 ## 9 .234.6......18.23...9723...2.1.3..58....1.9.2.98...31...25.18.3.......95..5...12. # 2# 374 FNBP C34/M1.2.47 ## 9 12.4.6...4.6.891...9821.6..2.....8358......17...1.846....6.........9...66.284..91 # 2# 374 FNBP C34/M1.2.47 ## 9 ...4.67..4..18.2.6....27....96.......48612...5.1...6.....2.84.1..4.61.72..274.86. # 1# 6885 FNBP C34/M2.97.67 ## 9 ....5..89.5.18.23.......1.5295.....33.6.......4..3....5...21.988..39.5.19..5.832. #12# 15668 FNBP C33/M2.85.77 ## 9 ....5..89.5.18.23.......1.5295.....33.6.......4..3....5...21.988..59.3.19..3.852. #12# 15668 FNBP C33/M2.85.77 ## 9 ....5..89.5.18.23.......5.1295.....33.6.......4..3....5...21.988..39.1.59..5.832. #12# 15668 FNBP C33/M2.85.77 ## 9 ....5..89.5.18.23.......5.1295.....33.6.......4..3....5..39.1.88...21.959..5.832. #12# 15486 FNBP C33/M2.85.77 ## 9 1...567.9...1.9.36...37.15........67...7..51...16.59.331....69554.......9.85..... #12# 14891 FNBP C33/M2.85.77 ## 9 1...567.9...1.9.36...37.51........67...7..15...16.59.331....69554.......9.85..... #12# 14891 FNBP C33/M2.85.77 ## 9 ...4..78...718.2.6.......142.58.....67....12883..........61..72...7.846.7...248.1 #12# 15564 FNBP C33/M2.85.77 ## 9 ...4..78...718.2.6.......142.58.....67....82183..........61..72...7.846.7...241.8 #12# 15564 FNBP C33/M2.85.77 ## 9 ...4..78...718.2.6.......142.58.....67....12883..........61..72...7.486.7...284.1 #12# 15564 FNBP C33/M2.85.77 ## 9 ...4..78...718.2.6.......142.58.....67....12883..........72..61...6.847.7...148.2 #12# 15564 FNBP C33/M2.85.77 ## 9 .23....8.45..8..366.8..........9..4....7.4.....4825...54...23.8.32..865.8.6..3.24 #12# 15193 FNBP C33/M2.85.77 ## 9 ....567.9.5.1.9.36...37.51.21........98...1..57.691.......63.....59.76.1...51.3.. #12# 14774 FNBP C33/M2.85.77 ## 9 .23...7.945...9.327.9..354.2.493..753..5.......5.....3...694..7...81...494.3.2... # 1# 308 FNBP C35/M1.2.26 ## 9 1.3.56....5718...668.7.3..5......9.8.......2.815....6356...7...7.1.......38.1567. # 2# 23994 FNBP C33/M2.95.69 ## 10 ..3.......57189...68..........59.1.7.1.2.789..7..18.25...92....7.28.59.1....71..2 # 2# 24473 FNBP C33/M2.95.69 ## 10 1..4.6.......892.66...3....2.1.7.96.......1.77......28.12..867.87...2.919.6...8.2 # 2# 828 FNBP C33/M1.1.42 ## 10 1.3.5.7.9.57....3696..3.15...1...5.3.95..167........91..926......6..4.......73.65 # 2# 828 FNBP C33/M1.1.42 ## 10 1.3.5.7.9.57....3669..3.15...1...5.3.65..197........61..629......9..4.......73.95 # 2# 853 FNBP C33/M1.1.42 ## 10 1..4.6.......892.66...3....2.1.7.69.......1.77......28.16..287.8.2...9.197...8.62 # 2# 853 FNBP C33/M1.1.42 ## 10 ..34.6.89....8923...923...4.1.....4.5.4....2..38.24......6.2....6.84..92....93.6. # 3# 834 FNBP C32/M2.62.105 ## 11 ....5.......1.9.3.6.9.27...2.6....4..4.......97.24.36.36...29.4.92..467.7.4....23 # 3# 834 FNBP C32/M2.62.105 ## 11 ....5.......1.9.3.6.9.27...2.6....4..4.......97.24.36.39...26.4.62..497.7.4....23 # 3# 834 FNBP C32/M2.62.105 ## 11 .2...6...45.....366.93.7.........8.3.....8.65....6347.5.....34.7..6.4.588...356.7 # 2# 380 FNBP C32/M2.133.49 ## 12 ....56.8..5718..3.68.3.7.1..16...97....76..58.7......2...6.3...76..15....3.87.... # 2# 380 FNBP C32/M2.133.49 ## 12 ..34.....4.718..36....3..4..14678....8.......9.5.......4.76.3.8.3.8.1.74....4361. # 2# 399 FNBP C32/M1.3.22 ## 12 12..567...5718.2..6.82.7...2..7.........2...778.56..21...8156.2.......43......5.. # 2# 400 FNBP C32/M1.3.22 ## 12 .2..5.....5718...6...2....5......8.........93...6781.2.628.15..5.872....71..65... # 1# 1615 FNBP C30/M2.136.96 ## 12 ......7.9456....31......56..1......863.84...58..1.....36..18.5.5.13.4....4856.... # 2# 1570 FNBP C31/M1.2.47 ## 12 ......7.9456....31......56..1......836.84...58..1.....5.13.4...63..18.5..4856.... # 2# 1570 FNBP C31/M1.2.47 ## 12 1.3456...45........89.....4..73.........7...3.3516.4.73..61..755...473.1...5.364. # 2# 431 FNBP C34/M1.3.38 ## 13 1.3456...45........89.....4..73.........7...3.3561.4.73..16..755...473.1...5.364. # 2# 431 FNBP C34/M1.3.38 ## 13 .2..5....45..89.3......2.5.28.59.....35.48...9.42.35........4.....93482..4.....61 # 1# 461 FNBP C31/M1.2.36 ## 13 ....567.9..71.926...927..51....1.9...9.....1....69.52..15...6728.6.......42.6.... # 2# 11114 FNBP C32/M2.81.162 ## 13 ....567...5718.2..6.87.21.....51......16.7....65.28.1.5.....69.........3...2.5871 # 2# 10538 FNBP C32/M2.81.162 ## 13 .2..5....45..89........2..52.5.483...3459....89.2.35...4....867...8349.2......4.. # 2# 11205 FNBP C32/M2.70.186 ## 13 1.3.5.....57.8..3668..7.1.5.....4...37.865.......123..51......87.6..8.13.38...... # 2# 11839 FNBP C32/M2.70.186 ## 13

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Code: Select all: .....6.8...718.....68.231...86...493......8.....3.8.12.318.2..767..31..88.267...1 #8# 2077 FNBP C35/M1.3.15 #ED=11.7/11.7/2.6# 7# rating: 677 , 482 ....5678.4.7189......7.....24..7.6.88.6.2.57..75.6..42..2....67.....74..7.46..8.5 #8# 2077 FNBP C35/M1.3.15 #ED=11.7/11.7/2.6# 7# rating: 694 , 498 12.4..7.94..1..23........14.9..4.3.134.....277.1.3.94...469.......37.4929..8.4... #8# 2590 FNBP C35/M1.3.15 #ED=11.7/11.7/2.6# 7# rating: 685 , 487 12.4..7.94..1..23........41.9..1.3.431.....277.4.3.91...169.......37.1929..8.1... #8# 2590 FNBP C35/M1.3.15 #ED=11.7/11.7/2.6# 7# rating: 690 , 484 123.56......18..3.....731..26.....513.1..596..95..1..35.2.1..9..36.9..1291....... #8# 2590 FNBP C35/M1.3.15 #ED=11.7/11.7/2.6# 7# rating: 682 , 481 123.56......18..3.....731..26.....513.1..596..95..1..35.2.9..1..36.1..9291....... #8# 2590 FNBP C35/M1.3.15 #ED=11.7/11.7/2.6# 7# rating: 676 , 493 123.56......18..3.....731..26.....513.5..196..91..5..35.2.1..9..36.9..1291....... #8# 2590 FNBP C35/M1.3.15 #ED=11.7/11.7/2.6# 7# rating: 675 , 494 123.56......18..3.....731..26.....513.5..196..91..5..35.2.9..1..36.1..9291....... #8# 2590 FNBP C35/M1.3.15 #ED=11.7/11.7/2.6# 7# rating: 673 , 488 .....6.89...1.9236..9.......94.6157.5.6..7.1.71........4561...7.7..95..19.17.4... #5# 95459 FNBP C34/M2.38.1032#ED=11.7/11.7/2.6# 7# rating: 917 , 636 12.4.6.894..1..2.6......14....91.8.4..42.8.1...1.64.9237864....5.68.............8 #5# 95485 FNBP C34/M2.38.1032#ED=11.7/11.7/2.6# 7# rating: 909 , 627 12.4.678....18..2..8..27........14.7..1.4286....76..1253....27..9.....4.81.27.... #5# 95480 FNBP C34/M2.38.1032#ED=11.7/11.7/2.6# 7# rating: 913 , 649 ...4.6...4.7.892.66..27...42.9..4.6..76.28.4.84.96........9....76....1939......75 #5# 95463 FNBP C34/M2.38.1032#ED=11.7/11.7/2.6# 7# rating: 910 , 654 .....6.89...1.9236..9.......94.6751.5.6..1.7.71........4561...7.7..95..19.17.4... #5# 95459 FNBP C34/M2.38.1032#ED=11.7/11.7/2.6# 7# rating: 921 , 629 ..3....89.......31...2.36452.534..6.38..65.....48.2.5....62....8.2.345.....5.8... #1# 815 FNBP C32/M1.3.5 #ED=11.7/11.7/2.6# 7# rating: 1656 , 732 ..3....89.......31...2.36452.584..6.38..65.....43.2.5....62....8.2.345.....5.8... #2# 815 FNBP C32/M1.3.5 #ED=11.7/11.7/2.6# 7# rating: 1651 , 792 1.3...7..45678....7.9..........65.175..1.46.86..87.4.....5.8......61.....6..478.1 #2# 815 FNBP C32/M1.3.5 #ED=11.7/11.7/2.6# 7# rating: 1665 , 830 12..5..89......23.......1.5...8359.1.1.964...9..2.....5.2...3.8.315...9289.3..51. #1# 28969 FNBP C34/M2.116.56 #ED=11.6/11.6/2.6# 7# rating: 1328 , 772 1.3.567...571.9...69.37.1......3...83.9...57.....9.3.47.1.6.....3591..6.96....... #2# 914 FNBP C33/M1.3.4 #ED=11.6/11.6/3.6# 7# rating: 1630 , 913 1.......9...18.23.8.....1.527.61.3..3.18.76...86.32......7.8...6.8.21.7.7..36.... #2# 914 FNBP C33/M1.3.4 #ED=11.6/11.6/3.6# 7# rating: 1661 , 839 .2..56.8..5.18.2.....3.2..5..5..386....5.81.2...6...53.4.......7.........38261... #1# 378 FNBP C29/M1.1.79 #ED=11.9/11.9/2.6# 8# rating: 3230 , 1614 #Not Methuselah 12....78......92.6........52.491.8...78.241..91.8.7....91.....87.2.98.4184...1... #1# 1430 FNBP C34/M1.2.40 #ED=11.7/11.7/8.9# 8# rating: 1234 , 824 12...67.9.57..926.6.9....152.....9.6...9...529.56..17.....61.975..8.7......3..... #2# 95238 FNBP C33/M2.46.142 #ED=11.7/11.7/3.6# 8# rating: 1623 , 1150 1.3...7.9.571...3669.7..15...5....17....1.9.59.1.7.36...962.......3.76.1....4.... #2# 95231 FNBP C33/M2.46.142 #ED=11.6/11.6/3.6# 8# rating: 1614 , 1119 123....8945..8....78.............9.3.......51..159.82..1..2..98.3.9.521....81.3.5 #2# 3159 FNBP C32/M2.50.655 #ED=11.6/11.6/2.6# 8# rating: 1695 , 814 .23.....94567.9....89........59.7..6....43.95..456.37.....74...5..69..37...3.5... #2# 3159 FNBP C32/M2.50.655 #ED=11.6/11.6/2.6# 8# rating: 1664 , 740 .....6.89...1.9236..9....54.94..75..5.6..1.7.71........7169...5.4..15..7..57.4... #2# 96037 FNBP C33/M2.29.1356#ED=11.7/11.7/2.6# 8# rating: 1473 , 682 .....6.89...1.9236..6....54.64..75..5.9..1.7.71........7196...5..57.4....4..15..7 #2# 96034 FNBP C33/M2.29.1356#ED=11.7/11.7/2.6# 8# rating: 1456 , 663 ....5..89.5.18.23.......1.52...1....39....8.2.76.28......89.3.18..2.19..9...35.28 #2# 2134 FNBP C33/M1.1.47 #ED=11.7/11.7/2.6# 8# rating: 1193 , 822 ..3.56.8....18..36..83.21.52..86.51....2..8.3.......623.1....5874.5.8.....56..... #2# 2134 FNBP C33/M1.1.47 #ED=11.7/11.7/2.6# 8# rating: 1212 , 851 1.3.56...4.6....2.7......6...15..93...961.2.5..5.93.1651.36..92...9.1.5.9...25... #1# 17178 FNBP C35/M2.115.171#ED=11.7/11.7/2.6# 8# rating: 1419 , 864 1.3..6....57.8..3668......1.36....157.5.....881.6...7......4..7...7.2..3.7156.... #1# 95312 FNBP C31/M2.50.262 #ED=11.7/11.7/3.6# 8# rating: 1924 , 1178 .234.6......18.23...9.2....2.1.3..583...1.9.2.98...31........25..5...19.9.25.18.3 #1# 4559 FNBP C34/M2.104.63 #ED=11.7/11.7/4.0# 8# rating: 1197 , 885 ...45.7...57.89......327..1.76...8..81.......9.586.17..98..56.756...891.7.1...... #2# 3660 FNBP C34/M1.1.66 #ED=11.7/11.7/7.1# 9# rating: 777 , 504 ...45.7...57.89......327..1.76...8..81.......9.586.17..68..59.759...861.7.1...... #2# 3660 FNBP C34/M1.1.66 #ED=11.7/11.7/7.1# 9# rating: 781 , 508 12..56.8..5718..6....2.7.5..8.51........78...71.6.2..8..1...97.........4....61825 #1# 61593 FNBP C32/M2.49.133 #ED=11.7/11.7/2.6# 9# rating: 1285 , 720 12.......4.718...6.86.72..4....4139..1.....68......5.1.71.6....6.2......84.21.67. #2# 95049 FNBP C32/M2.53.738 #ED=11.6/11.6/3.4# 9# rating: 1033 , 623 ......78..5.18..63.6.3.71.52.967....51.....7..74......3.57.861....5...37......5.8 #2# 95053 FNBP C32/M2.53.738 #ED=11.6/11.6/3.4# 9# rating: 1035 , 578 1.3.56.8..5718..3.68.7.3.1..183.....53.......7.68.53.....6..9.........64.6....173 #2# 95053 FNBP C33/M2.35.187 #ED=11.6/11.6/2.6# 9# rating: 1969 , 1104 1.345..8.45..89.3..891.3.4..1....493......61......1..7.45......83...4...9.15.8..4 #2# 95051 FNBP C33/M2.35.187 #ED=11.6/11.6/2.6# 9# rating: 1953 , 1166 1.3....8.45....12..8.......24...3...3.5..8.41.18..523.5.13.4......59..1.....61.52 #3# 415 FNBP C32/M1.5.35 #ED=11.7/11.7/2.6# 9# rating: 676 , 509 1......89......1..7.8...6.5...9..5.758.1...969.76..81....59..6867.8.4...8...62... #3# 411 FNBP C32/M1.5.35 #ED=11.7/11.7/2.6# 9# rating: 671 , 513 1.3....8.45....12..8.......24...3...3.8..5.41.15..823.5.13.4......59..1.....61.52 #3# 415 FNBP C32/M1.5.35 #ED=11.7/11.7/2.6# 9# rating: 675 , 513 .....6.8....1.9236..9....54.94..75..5.6..1.7.71........7169...5.4..15..7..57.4... #1# 95932 FNBP C32/M2.27.1458#ED=11.7/11.7/3.6# 9# rating: 1813 , 656 12.45.....571.9...9...72...24..95.1..957.1.2.7.124..9.5.....84.........3...5.4... #2# 52120 FNBP C32/M2.42.156 #ED=11.6/11.6/2.6# 9# rating: 1651 , 666 12.....894.6.8.1.2.89.1.64.29...1.64.61...9..8.4...21......7...642..8......5..... #2# 53985 FNBP C32/M2.42.156 #ED=11.6/11.6/2.6# 9# rating: 1676 , 673 1.3.567...571.9...96.37.1......9.3.8319...57.......94.69.......7.1.6.....3591...7 #2# 22186 FNBP C34/M2.93.70 #ED=11.7/11.7/2.6# 9# rating: 1275 , 878 1.3.567...571.9...69.37.1......9.3.8319...57.......94.7.1.6.....3591...796....... #2# 22186 FNBP C34/M2.93.70 #ED=11.7/11.7/2.6# 9# rating: 1263 , 883 .2...6...45.....366.9..3.........3.8.....8.75....3764.5..8.4.677...658.38..37.45. #2# 22338 FNBP C33/M2.53.123 #ED=11.6/11.6/2.6# 9# rating: 1925 , 1018 .2...6...45.....366.9..3.........8.3.....8.75....3764.5..8.4.677...653.88..37.45. #2# 22338 FNBP C33/M2.53.123 #ED=11.6/11.6/2.6# 9# rating: 1919 , 1051 1.3.5678..57.8....68........1687...55.86.3..773..15...3.5....71....6.9.3.......2. #2# 13678 FNBP C33/M2.57.115 #ED=11.7/11.7/3.6# 9# rating: 1490 , 1034 1.3.5678..57.8....68........1867...55.68.3..773..15...3.5....71....6.9.3.......2. #2# 13678 FNBP C33/M2.57.115 #ED=11.7/11.7/3.6# 9# rating: 1492 , 958 ....5.78.45....2.6....3.4152.6.43...53.9.2..4.4956...236..25.......9....9......2. #1# 2248 FNBP C32/M2.107.61 #ED=11.7/11.7/9.1# 9# rating: 893 , 600 1.3.5.78..57.8..3668....1.5...9.4.6....862.1.8.653....36.7.8.515.........7...5... #1# 646 FNBP C34/M1.8.41 #ED=11.7/11.7/3.6# 9# rating: 605 , 438 1.3.56.8..5718..3.68.3.7........13..73..658.1.1..3.....6....978.7....4.2....78.53 #2# 259 FNBP C35/M1.4.15 #ED=11.7/11.7/3.4# 9# rating: 595 , 428 ..3.567.9..71.9.36......15.24.5.7...3.6...5.7785..1........3.91......3.593..1567. #2# 244 FNBP C35/M1.4.15 #ED=11.7/11.7/3.4# 9# rating: 587 , 432 ....5..89.5.18.23.......1.52.6......395...82..4..2....5...31.988..59.3.29..2.851. #3# 742 FNBP C34/M2.90.72 #ED=11.7/11.7/2.6# 9# rating: 1242 , 856 1234.6......18..3....3.7...2.9......63.....9..14.6..2334.2..96..61...3.29.26...41 #3# 742 FNBP C34/M2.90.72 #ED=11.7/11.7/2.6# 9# rating: 1264 , 913 1.3.56.8..5718..3.68.7.3.......7.46.736....58.......723.1......56..378...78.1.... #3# 742 FNBP C34/M2.90.72 #ED=11.7/11.7/2.6# 9# rating: 1262 , 870 ..3.56....571.9..6...37.....96.13.7.3.15.7.6.57.96......5....92...79561.......85. #2# 806 FNBP C34/M2.95.69 #ED=11.6/11.6/2.6#10# rating: 1309 , 919 ..3.56....571.9..6...37.....96.13.7.3.17.5.6.57.96......5....92...59761.......85. #2# 806 FNBP C34/M2.95.69 #ED=11.6/11.6/2.6#10# rating: 1308 , 947 .23....8.45.....366.8......24...8.53.36..28.48.5..362.3.42.5.......94.6....7...4. #4# 7796 FNBP C33/M2.93.70 #ED=11.6/11.6/2.6#10# rating: 1281 , 927 .23....8.45.....366.8......23...8.54.46..28.38.5..362.3.42.5.......94.6....7...4. #4# 7796 FNBP C33/M2.93.70 #ED=11.6/11.6/2.6#10# rating: 1275 , 916 12.....89.5....23.......1.52.13..59..352..8.198.5...23.1.94.....9...7......8.39.2 #4# 7725 FNBP C33/M2.93.70 #ED=11.6/11.6/2.6#10# rating: 1276 , 886 12.....89.5....23.......1.528.5...93.352..8.19.13..52..1.94.....9...7......8.39.2 #4# 7725 FNBP C33/M2.93.70 #ED=11.6/11.6/2.6#10# rating: 1269 , 899 12...67.9.57..926......2.51.7..91.......475.6...8....75.2......79......2.61.2..75 #1# 3215 FNBP C32/M2.58.113 #ED=11.7/11.7/2.6#10# rating: 1687 , 985 ...4.6.......8.......37.514.15.974.3.9....17........955.47..9.1.319...4797....35. #2# 22972 FNBP C33/M2.53.123 #ED=11.7/11.7/2.6#10# rating: 1940 , 963 ...4.6.......8.......37.541.15.974.3.9....17........955.17..9.4.349...1797....35. #2# 22972 FNBP C33/M2.53.123 #ED=11.7/11.7/2.6#10# rating: 1914 , 943 .2.4.6.......8.......37..412.17..9.4.349...1797....32..9....17..12.974.3.......92 #2# 59482 FNBP C33/M2.55.119 #ED=11.7/11.7/3.6#10# rating: 2001 , 972 .2.4.6.......8.......37..142.47..9.1.319...4797....32..9....17..12.974.3.......92 #2# 59482 FNBP C33/M2.55.119 #ED=11.7/11.7/3.6#10# rating: 1999 , 989 ..3.567.9..71.9.36...73.15.2.1.9.....8........35....7136.97..15......69.....6.3.7 #2# 14031 FNBP C33/M2.56.117 #ED=11.7/11.7/3.6#10# rating: 1511 , 944 1.3...78..571...3668.3..5.1.75......31......58.6..5.73...89...7.....2..8.386.1... #2# 14275 FNBP C33/M2.56.117 #ED=11.7/11.7/3.6#10# rating: 1524 , 1023 ....5..89.5.18.23.......5.12.4......395.....2.6..2....5..23.9.88...91.539..5.812. #1# 95059 FNBP C33/M2.35.187 #ED=11.7/11.7/2.6#11# rating: 1824 , 1025 ..3.56.....71.9.36..973.15.2.1...69.8.........75.6.......6.7......31..7.7...95.61 #1# 458 FNBP C31/M1.2.36 #ED=11.7/11.7/2.6#12# rating: 856 , 609 ..3....8..5718..36.8.3......75..13.836...8.158.1...67.5168.7.......45......21.... #2# 1561 FNBP C33/M1.2.48 #ED=11.7/11.7/2.6#12# rating: 629 , 463 ..3.567.9..71.9.36..9...15.23...5....45.13...9.6...5.3.....79.5.......71...5.136. #2# 1561 FNBP C33/M1.2.48 #ED=11.7/11.7/2.6#12# rating: 631 , 462 .2.4.6.89....891.2.8.21.64.21....4983.8.......45..........2...66......2.8.296..14 #3# 328 FNBP C33/M1.2.48 #ED=11.7/11.7/2.6#12# rating: 629 , 452 1.3..678..57....3668...71.5..6.....85.876.3.1...8..6.....27........91......6.3517 #3# 328 FNBP C33/M1.2.48 #ED=11.6/11.6/2.6#12# rating: 630 , 471 ..345.7.9...7.9.23..9.3254..4....3..39..742.5.....3..46.5.......32...95791....... #3# 328 FNBP C33/M1.2.48 #ED=11.7/11.7/2.6#12# rating: 629 , 460 1.3..67.9..6...12........6....67.9.1..19.8....39.15...3.2.9..16.17.6.29.....2.3.7 #1# 481 FNBP C33/M1.3.33 #ED=11.7/11.7/2.6#12# rating: 738 , 516 12.4.6...4.6.891...8921.6....8..1....419.2.68...8...1...2...476..4....53...6.49.1 #2# 260 FNBP C35/M1.4.15 #ED=11.7/11.7/3.4#13# rating: 591 , 414 12.4.6..94.6.89..1.9821....2.....37....12..948.....512....6.9..6..9.....9.284.16. #2# 260 FNBP C35/M1.4.15 #ED=11.7/11.7/3.4#13# rating: 590 , 418 .23.5..8945..8.23.8.9...5.4.9.5.1.......28945...69.........38...8......393.8..4.2 #1# 2242 FNBP C33/M1.1.66 #ED=11.7/11.7/2.6#13# rating: 709 , 512 .23456...4.6......79.......24.63.8.5...8..2...8..2......2.483.6...3.245...456...2 #4# 414 FNBP C32/M1.5.35 #ED=11.7/11.7/2.6#13# rating: 670 , 486 1.3.56.89..6.....3....3..6....96.851....27......8.5....19...6.56..5...188.56..39. #4# 414 FNBP C32/M1.5.35 #ED=11.7/11.7/2.6#13# rating: 666 , 503 1.3....8.45....12..8.......21...3...3.8..5.41.45..823.5.13.4......59..1.....61.52 #4# 414 FNBP C32/M1.5.35 #ED=11.7/11.7/2.6#13# rating: 672 , 504 1.3....8.45....12..8.......21...3...3.5..8.41.48..523.5.13.4......59..1.....61.52 #4# 414 FNBP C32/M1.5.35 #ED=11.7/11.7/2.6#13# rating: 677 , 513

For all these....I make that 329 max-expands and 3665 minimal puzzles. [10127 minimal puzzles total]
BXB-Mastermins678910
BXB-Mastermins5
BXB-Mastermins1234

Website · by **denis_berthier** » Thu Jun 19, 2025 6:54 am

.
Hi coloin

Could you be more explicit about the precise contents of these 3 files?

I'm more specifically interested in the new minimals (that weren't among the previous 6259 ones).
.

by **coloin** » Thu Jun 19, 2025 8:39 am

BXB-Mastermins1234 - that is the 6259 puzzles
BXB-Mastermins5 - these are the puzzles of hendriks at bottom of page 14
BXB-Mastermins678910 - these are the new ones from the new max expands [Paquita's included]

What would be good perhaps is to identify which puzzles / max expands are the more complex ones which a vicinity search can be more worthwhile done ?

Website · by **denis_berthier** » Thu Jun 19, 2025 9:13 am

coloin wrote:BXB-Mastermins1234 - that is the 6259 puzzles
BXB-Mastermins5 - these are the puzzles of hendriks at bottom of page 14
BXB-Mastermins678910 - these are the new ones from the new max expands [Paquita's included]

So, BXB-Mastermins5 and BXB-Mastermins678910 must be added in order to get all the new ones.

As all the calculations I do take much time, I'm thinking of writing scripts specifically intended to the extension of collections by new puzzles, that would do only the necessary calculations. This is based on my splitting of collections by solution grids (a separate folder per solution grid). Examples:
- if puzzles correspond to new solution grids, just add them to the collection in their new solution folders;
- if a minimal puzzle is new, but its BRT expand is not, then only add the minimal to the right file in the right folder;
- if a minimal is new and has a new BRT-expand, then see which of its BRT+1 and BRT+1+BRT expands are new and continue the calculations only with the new ones...

coloin wrote:What would be good perhaps is to identify which puzzles / max expands are the more complex ones which a vicinity search can be more worthwhile done ?

I haven't yet tried systematic expansions of T&E(3) expands, but there may appear complexity problems, as some of them have many clues and may therefore have too many minimals.
I'd be curious to see if minimising all the T&E(3)-expands would lead to many more minimals than just expanding the BRT-expands (as done by mith). Do you have results about this?

Currently, I see no way of saying in advance which expansions are most promising.
.

by **coloin** » Thu Jun 19, 2025 9:50 am

denis_berthier wrote:I'd be curious to see if minimising all the T&E(3)-expands would lead to many more minimals than just expanding the BRT-expands (as done by mith). Do you have results about this?

When I cleaned up miths file by min expanding and re minimizing
- a few non mimimals were removed and there were only a very few extra minimals - so Mith probably applied that process.

I probably havent directly searched the new puzzles with more than {-1+1} on the minimals .. so there is room for a specific {-2+2} I guess.
Champagne is working on a improved vicinity search method, rather than my wasteful general {-1+1}
Identifying the puzzles which dont have the simple tridagon might be an easy step ..and it would only need to be done on the max-expands

Website · by **denis_berthier** » Thu Jun 19, 2025 10:29 am

coloin wrote:
denis_berthier wrote:I'd be curious to see if minimising all the T&E(3)-expands would lead to many more minimals than just expanding the BRT-expands (as done by mith). Do you have results about this?

When I cleaned up miths file by min expanding and re minimizing
- a few non mimimals were removed and there were only a very few extra minimals - so Mith probably applied that process.

Yes, mith explicitly said his database was closed under BRT-expansion and minimisation. (There were just a few errors.)

coloin wrote:I probably havent directly searched the new puzzles with more than {-1+1} on the minimals .. so there is room for a specific {-2+2} I guess.

I see it differently:
- there's a search within the same solution grid, using successive phases of 1-expansion and BRT-expansion and full minimisation: no fixed {-p+q} here
- there' s search based on minimals for puzzles in new solution grids based on standard {-p+q}

coloin wrote:Champagne is working on a improved vicinity search method, rather than my wasteful general {-1+1}
Identifying the puzzles which dont have the simple tridagon might be an easy step ..and it would only need to be done on the max-expands

There are two essential results of the search for T&E(3) puzzles: they all have a tridagon and they all are in T&E(W2, 2). The tridagon part carries on to the BxB with x ≥ 7 (except 3 old puzzles).
Adding the pattern in the conditions of the search is liking biting one's own tail.
.

Website · by **denis_berthier** » Fri Jun 20, 2025 4:40 am

.
I don't know which parts of the search methods were different, but the Mastermins-1-to-4 (6259 minimals, 781 solutions) and the Mastermins-5-to-10 (3868 minimals, 366 solutions) have different characteristics:
- first, they have disjoint sets of solutions;
- the first set has 5 solution grids not in mith's T&E(3) collection; the second one has 7 (which can only be different from the previous 5 ones), proportionately 3 times more;
- the first set has 8 minimals in the mean per solution grid (varying from 1 to 108), the second one 10.6 (varying from 1 to 74).

I've launched the expansion scripts for the second set; we'll see if we get something different here also.

Edit: If we consider min-expands instead of minimals, the difference disappears: 3.25 min-expands per solution grid vs 2.98. The difference may therefore be that in the first case, minimisation of the min-expands was not applied.
.

Website · by **denis_berthier** » Sun Jun 22, 2025 1:00 pm

.
The mystery for T&E(2) puzzles with BxB ≥ 7 deepens. Both sub-collections Mastermins-1-to-4 and Mastermins-5-to-10 are closed under minimisation of the min-expands. (Indeed, they are strongly closed: not only do the min-expands have no other minimals with BxB ≥ 7, they have no other minimals at all). I've just checked (it's a quick calculation indeed, because no new minimal appears).

Why does the first collection has 8 minimals per solution grid and the 2nd one has 10.6 ? This having to be added to the fact that they have the same number of min-expands (about 3) per solution grid.
Hendrik, coloin, Paquita, any idea about that ?
.

by **coloin** » Sun Jun 22, 2025 2:56 pm

The latter ones all came from a {-1+1} on all the resultant minimal bxb6 found... this gives an increased scope of the " trawler's net"

Excluding old bxb6s improved the efficiency.. minimizing the new bxb6 resulted in the finding of bxb7+

However subsequent [-2+2} on the bxb7+ has produced a good few more 12+ !! Processing this. They look as they tend not to have a simple single tridagon / more than one guardian.

I suspect a simple reason for the difference between the two groups is that those puzzles with more minimals are more likely to be found first.

I also looked for different minimal expands ...and like you I didnt find any where a single max expand wasnt reached. There are examples of this in the BxB6s.

I did find this progression which is to be expected.

Code: Select all: .....6.8....1.9236..9....54.94..75..5.6..1.7.71........7169...5.4..15..7..57.4... #1# 95932 FNBP C32/M2.27.1458# 9# .....6.89...1.9236..9....54.94..75..5.6..1.7.71........7169...5.4..15..7..57.4... #2# 96037 FNBP C33/M2.29.1356# 8# .....6.89...1.9236..9....54.94..75..5.6..1.7.71........7169...5.4..15..79.57.4... #2# 96223 FNBP C34/M2.29.1356# 7#

Website · by **denis_berthier** » Sun Jun 22, 2025 3:56 pm

coloin wrote:The latter ones all came from a {-1+1} on all the resultant minimal bxb6 found... this gives an increased scope of the " trawler's net"

OK.
I also noticed it's useful to consider easier puzzles in the search process.

coloin wrote:I also looked for different minimal expands ...and like you I didnt find any where a single max expand wasnt reached.

I don't understand what you mean.

But, speaking of T&E(2)-expands, there's also a difference between the two sets: 64.37 vs 42.24 per solution grid.
(Which is also very different from the numbers obtained for T&E(3)-expands in the T&E(3) collection: just slightly more than 1.)
.

by **coloin** » Sun Jun 22, 2025 10:13 pm

Well, you might be right not to understand... because I cant find a real example where a minimal puzzle has 2 different max expands both in BxB6+

For example I did think that these two TE3 expanded puzzles couldnt be expanded [ and they cant]

Code: Select all: .2..567...5.18.2.6.6.7.2..5.14.....83.5......67..1....5.1.68......2.1.5....57.8.1 # 400 FNBP C32/M1.4.35 .2..567...5.18.2.6.6.7.2..5.14.....83.5......67..15...5.1.68......2.1......57.8.1 # 2273 FNBP C32/M1.3.24

Code: Select all: .2..567...5.18.2.6.6.7.2..5.14.....83.5......67..15...5.1.68......2.1.5....57.8.1 # no solutions/ invalid

It wasnt at all obvious that they were from different solution grids...

Website · by **denis_berthier** » Mon Jun 23, 2025 2:41 am

coloin wrote:I cant find a real example where a minimal puzzle has 2 different max expands both in BxB6+

"max-expands" is ambiguous. That's why I introduced more precise names in [HCCS]: T&E(3)-expands...
In the present case, "max-expand" could be interpreted in 3 different ways:
1) T&E(2)-expand
2) B7B-expand
3) BpB-expand, where BxB(P) = p
Considering the calculations I've done until now, I could probably check the 1st case
For the 2nd and 3rd cases, I would have to compute the B7B-expands and BpB-expands, which I don't do currently, but which might be interesting.

coloin wrote:For example I did think that these two TE3 expanded puzzles couldnt be expanded [ and they cant]
Code: Select all
.2..567...5.18.2.6.6.7.2..5.14.....83.5......67..1....5.1.68......2.1.5....57.8.1 # 400 FNBP C32/M1.4.35 .2..567...5.18.2.6.6.7.2..5.14.....83.5......67..15...5.1.68......2.1......57.8.1 # 2273 FNBP C32/M1.3.24

Code: Select all
.2..567...5.18.2.6.6.7.2..5.14.....83.5......67..15...5.1.68......2.1.5....57.8.1 # no solutions/ invalid

It wasnt at all obvious that they were from different solution grids...

In my approach, this situation is impossible. All the calculations are done solution grid by solution grid.
1) Expansions can only produce consistent puzzles for the same solution grid. I have only 2 types of expansions (1-expands and BRT-expands), each of which satisfies this property (the 1st by definition, the 2nd obviously).
2) Only {-p +q} search applied to minimals can produce puzzles for new solution grids.
(One could imagine applying {-p +p} search to complete solution grids, but finding minimals would probably be intractable.)
.

by **coloin** » Mon Jun 23, 2025 1:09 pm

The use of the term max-expand is just a simple description of expanding the puzzle to keep original BxB....so the max-expands which I published above all have the original BxB that the minimal puzzle had.
All the minimal puzzles of these max-expands are at least the original BxB.
The BxB>6 are found mainly by minimizing the BxB6 max-expands....giving either a BxB6 puzzle, rarely a TE3 puzzle and very rarely aa BxB7+ puzzle .

It makes it much simpler to know that the postulated diverse expansion doesn't happen often.
Searching and analysing only puzzles from new solution grids would have been an option.

And of course the reason TE3 puzzles weren't found within the new minimals is that these would have been removed already in the initial analysis.
I can go back easily and find these.

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