The New Sudoku Players' Forum

[Paquita]

yes a database would be very welcome for these high BxB,

some more B10B

Code: Select all

1.3.567...5.18....68...7...........436....8.5.......2.53..1....7.8.65....168.3.5.
1.3.567....718....68...75..........436....8.5.......2.53..1....7.8.65....168.3...
1.3.567...5.18....68...75..........436....8.5.......2.53..1....7.8.65....168.3...
1...567...5.18....68.3.7...........436....8.5.......2.53..1....7.8.65....168.3.5.
1...567....718....68.3.75..........436....8.5.......2.53..1....7.8.65....168.3...
1...567...5.18....68.3.75..........436....8.5.......2.53..1....7.8.65....168.3...
1.3..6....5718...6.6.7.3..5..16.8...38..71....7653.......8.76.3......4.........9.
1.3.5.....5718...6.6.7.3..5..16.8...38..71....7653.......8.76.3......4.........9.
1.3.5.....571....686.7.3..5..16.8...38..71....7653.......8.76.3......4.........9.
1.3..6....5718.....6.7.3..5..16.8...38..71.6..7653.......8.76.3......4.........9.
1.3..6....571....68..7.3..5..16.8...38..71....7653.......8.76.3......4.........9.
1.3..6....571.....8..7.3..5..16.8...38..71.6..7653.......8.76.3......4.........9.
...45..8.........6......14.2.8......39.8.4.2..4523..9..34.28...8..9.3...9.254....
...45..8.........6......14.2.8..5...39.8...2..4523..9..34.28...8..9.3...9.254....
...45..8.........6......14.2.8.9....39.8.4.2..4523..9..34.28...8....3...9.254....
...45..8.........6......14.2.8.95...39.8...2..4523..9..34.28...8....3...9.254....
....5..8.4.......6......14.2.8......39.8.4.2..4523..9..34.28...8..9.3...9.254....
....5..8.4.......6......14.2.8.9....39.8.4.2..4523..9..34.28...8....3...9.254....
.23...78.4.7.8..3668....4.......1...36.7.8.......9....7.....8.483.2...67.4....32.
.23...78.4.7....3668....4.......1...36.7.8.......9....7.......483.2...67.4.8..32.
1......894.6.8..2..9..1.6.42.1....68.49.....186....49....56......2.9.........7..6
.......894.6.8.12..9..1.6.42.1....68.49.....186....49....56......2.9.........7..6
1......894.6.8..2..9..1.6.42.1....68.49.....18.....49....56....6.2.9.........7...
.......894.6.8.12..9..1.6.42.1....68.49.....18.....49....56....6.2.9.........7...
.2.4...8..5...923..8...35.4...8.4.53....25.9.....3.8.2.91.4....7.........3....94.
.2.4......5..8923..8...35.4...8.4.53....25.9.....3.8.2.91.4....7.........3....94.
.2.45..8..5...923..8...3..4...8.4.53....25.9.....3.8.2.91.4....7.........3....94.
.2.45.....5..8923..8...3..4...8.4.53....25.9.....3.8.2.91.4....7.........3....94.
.2.4...8..5...9.3..8.2.35.4...8.4.53.....5.9.....3.8.2.91.4....7.........3....94.
.2.4......5..89.3..8.2.35.4...8.4.53.....5.9.....3.8.2.91.4....7.........3....94.
.2.45..8..5...9.3..8.2.3..4...8.4.53.....5.9.....3.8.2.91.4....7.........3....94.
.2.45.....5..89.3..8.2.3..4...8.4.53.....5.9.....3.8.2.91.4....7.........3....94.
.2.4...8..5...923..8...35.4...8.5.43....2495.....3.8.2.91.4....7.........3.....9.
.2.4......5..8923..8...35.4...8.5.43....2495.....3.8.2.91.4....7.........3.....9.
.2.45..8..5...923..8...3..4...8.5.43....2495.....3.8.2.91.4....7.........3.....9.
.2.4...8..5...9.3..8.2.35.4...8.5.43.....495.....3.8.2.91.4....7.........3.....9.
.2.4......5..89.3..8.2.35.4...8.5.43.....495.....3.8.2.91.4....7.........3.....9.
.2.45.....5..89.3..8.2.3..4...8.5.43.....495.....3.8.2.91.4....7.........3.....9.
.2.4...8..5...923..8...35.4...8.4.53....2594.....3.8.2.91.4....7.........3.....9.
.2.4......5..8923..8...35.4...8.4.53....2594.....3.8.2.91.4....7.........3.....9.
.2.45..8..5...923..8...3..4...8.4.53....2594.....3.8.2.91.4....7.........3.....9.
.2.4...8..5...9.3..8.2.35.4...8.4.53.....594.....3.8.2.91.4....7.........3.....9.
.2.4......5..89.3..8.2.35.4...8.4.53.....594.....3.8.2.91.4....7.........3.....9.
.2.45.....5..89.3..8.2.3..4...8.4.53.....594.....3.8.2.91.4....7.........3.....9.
1.3.567...5.18....68...7..........4.316...8.5........253..1....7.8.6.......8.3...
1...567...5.18....68.3.7..........4.316...8.5........253..1....7.8.6.......8.3...
....567...5.18....68.3.7..........4.316...8.5........253..1....7.8.65.....18.....
..3.567...5.18....68...7..........4.316...8.5........253..1....7.8.6......18.3...
....567...5.18....68.3.7..........4.316...8.5........253..1....7.8.6......18.3...
1...567...5..8....68.3.7..........4.316...8.5........253..1....7.8.65......8.....
..345..89....8.2.3.....2.5.....95.4....2.49.8...83..25.7.......5.2948...6........
..345..89....8.2.3.....245.....95.4....2.49.8...83..2..7.......5.2948...6........
..345..89....892.3.....2.5......5.4....2.49.8...83..25.7.......5.2948...6........
..345..89....892.3.....245......5.4....2.49.8...83..2..7.......5.2948...6........
1.3..67...57....6..8....5.1.38...1..5.6...87.71.....353718.5.......9.......2.....
12...6..9.571.9..66.927...12...6.....16.27...9..5.1.........8.......5..2.......37
12...6..9.571.9..66.927...12..9......16.27....7.5.1.........8.......5..2.......37
1..4.678.4..18...66...27.1....8..4......748.1...61..2...5......79.......8.......2
1..4.678.4..18....6...27.14...8...6.....748.1....1..27..5......79.......8.......2
1..4.678.4..18....6...27.1....8..46.....748.1....1..2...5......79.......8.......2
....567...5.18....68.3.7..........4.361...8.5........253..1....7.8.6.....168.3...
....567...5.18....68.3.7..........4.361...8.5........253..1....7.8.65....168.....
..3.567...5.18....68...7..........4.361...8.5........253..1....7.8.6.....168.3...
1...567...5..8....68.3.7..........4.361...8.5........253..1....7.8.65....168.....
1.3.567...5..8....68...7..........4.361...8.5........251..3....7.8.65..3..68.1...
1.3.567...5..8....68...7..........4.361...8.5........25...3....7.8.65.1..368.....
1.3.567...5..8....68...7..........4.361...8.5........25...3....7...65.13..68.....
1....678.4...8...66...27.41...8.........418.7...67..24..5......79..1....8.......2
1....678.4.......66...27.41...8.........418.7....7..24..5.6....79..1....8.......2
1....678.4...8...66...27.41...8.........418.7....7..24..5.6....79.......8.......2
1.....78.4.......66...27.41...8.........418.7...67..24..5.6....79..1....8.......2
1.....78.4...8...66...27.41...8.........418.7...67..24..5.6....79.......8.......2
1..4..78.4.......66...27.41...8.........418.7....7..24..5.6....79..1....8.......2
1..4..78.4...8...66...27.41...8.........418.7....7..24..5.6....79.......8.......2
1....678.4..18...66...27.14...8.........148.7...67..21..5......79..4....8.......2
1..4..78.4..18...66...27.14...8.........148.7....7..21..5.6....79.......8.......2
1.....78.4..1....66...27.14...8.........148.7....7..21..5.6....79..4....8.......2
1.3..67...57....63.8....5.1.38...1..5.6...87.71......53718.5.......9.......2.....
1.3..678..57....63.8....5...38...1..5.6...87.71......53718.5.......9.......2.....
1....678.4...8...66...27.41...8..1......718.4...64..2...5......79.......8.......2
1....678.4..18...66...27.4....8..1......718.4...64..2...5......79.......8.......2
1....678.4...8....6...27.41...8...6.....718.4....4..27..5......79.......8.......2
1....678.4...8....6...27.41...8..16.....718.4....4..2...5......79.......8.......2
1....678.4..18....6...27.4....8..16.....718.4....4..2...5......79.......8.......2
1....678.4..18...66...27.14...8.........748.1...61..27..5......79..4....8.......2
1..4..78.4..18...66...27.14...8.........748.1....1..27..5.6....79.......8.......2
1.....78.4..1....66...27.14...8.........748.1....1..27..5.6....79..4....8.......2
1.3.567...5...9...69..7............4361...95........2.51...3...7.9.65.3...691....
1.3.567...5...9...69..7............4361...95........2.5....3...7.9.65..1.369.....
1.3.567...5...9...69..7............4361...95........2.5....3...7...65.31..69.....
1....678.4...8...66...27.41...8.........718.4...64..27..5......79..1....8.......2
1....678.4.......66...27.41...8.........718.4....4..27..5.6....79..1....8.......2
1....678.4...8...66...27.41...8.........718.4....4..27..5.6....79.......8.......2
1.....78.4.......66...27.41...8.........718.4...64..27..5.6....79..1....8.......2
1.....78.4...8...66...27.41...8.........718.4...64..27..5.6....79.......8.......2
1..4..78.4.......66...27.41...8.........718.4....4..27..5.6....79..1....8.......2
1..4..78.4...8...66...27.41...8.........718.4....4..27..5.6....79.......8.......2
.2.45.....5..8923..8...3..4...8.4.53....2594.....3.8.2.91.4....7.........3.....9.
.2.45..8..5...9.3..8.2.3..4...8.4.53.....594.....3.8.2.91.4....7.........3.....9.
.2.45.....5..8923..8...3..4...8.5.43....2495.....3.8.2.91.4....7.........3.....9.
.2.45..8..5...9.3..8.2.3..4...8.5.43.....495.....3.8.2.91.4....7.........3.....9.
1.3.567...5..8....68...7..........4.361...8.5........253..1....7.8.65.1...68.3...
1.3.567...5..8....68...7..........4.361...8.5........25...1....7...65.13..68.....
1.3.567...5..8....68...7..........4.361...8.5........25...1....7.8.65..3.168.....
1....678.4..18...66...27.14...8.........748.1...61..27..5.4....79.......8.......2
1.....78.4..1....66...27.14...8.........748.1....1..27..5.4....79..6....8.......2
1..4..78.4..18...66...27.14...8.........748.1....1..27..5......79..6....8.......2
1.3.567...5..8....68...7..........4.316...8.5........25...1....7.8.65..3...8.3...
1.3.567...5..8....68...7..........4.316...8.5........253..1....7.8.65..3...8.....
1.....78.4...8...66...27.41...8.........718.4...64..27..5......79..6....8.......2
1....678.4...8...66...27.41...8.........718.4....4..27..5......79..6....8.......2
12...6..9.571.9..66..27...12.........16.27....7.5.1.........8.......5..2.9.....37
1.3..678..57....6..8....5....8...1..5.63..87.71......53718.5.......9.......2.....
1.3.567...5.......69.37.......59163........2.........4.6591..7.7.1.63...9........
1.3..67...5.......69.37.......59163........2.........4.6.91..7.7.1.63...9....5...
.2..56...45.........9..........15.67...2.3..1...67.3......2715..7.3..6.2.1.....73
.2..56...45.........9..........15.67...2.3..1....7.3......2715..7.3..6.2.1..6..73
.2..56...45.........9..........15.67...2.3..1...67.3......27.5..7.3.16.2.1.....73
.2..56...45.........9..........15.67...2.3..1....7.3......27.5..7.3.16.2.1..6..73
1...5..894...8.13...9...5.4...6..........7...9318.....3.5...9....45...1381....45.
1.3.5..894...8.13...9...5.4...6..........7...9318.......5...9....45...1381....45.
1...5..8945..8.13...9.....4...6..........7...9318.....3.....9....45...1381....45.
1.3.5..8945..8.13...9.....4...6..........7...9318...........9....45...1381....45.
..345.7.....7.9.3...9.13..4.37...4158.........6...........9.5.1....7439..9.5...47
..345.7.....7.9.3...9.13.54.37...4158.........6...........9...1....7439..9.5...47
..345.7.9...7.9.3.....13..4.37...4158.........6...........9.5.1....743...9.5...47
..345.7.9...7...3...9.13..4.37...4158.........6...........9.5.1....743...9.5...47
..345.7.9...7.9.3.....13.54.37...4158.........6...........9...1....743...9.5...47
..345.7.9...7...3...9.13.54.37...4158.........6...........9...1....743...9.5...47
.2..56...45......6..9.......1.....73.3..716.2.7..2..5....21...7...5.3.61....6732.
12..56....57.8....8.62.7.1.........3......9..785....62...86...16.27.1........5...
12..56....57.8......62.7.1.........3......9..785....62....6...16.27.1.....8..5...
12.....894.....2...692..14.28.....6.6.1.2...8.94.....1...81.694.....7......3.....
12.....894.........692..14.28.....6.6.1.2...8.94....21...81.694.....7......3.....
.2.......45.189.....6.........3.4.153.....9.85...9..4..3.84..9....9.54.3.....18..
.2........5.189.....6.........3.4.153.....9.85...9..4..3.84..91...9.54.3.....18..
.2........5.189.....6.........3.4.153...1.9.85...9..4..3.84..91...9.54.3......8..
.2.......45.189.....6.........3.4.15......9.85...9.34..3.84..9....9.54.3.....18..
.2.......45.189.....6.........3.4.15....1.9.85...9.34..3.84..91...9.54.3......8..
.2.......45.189.....6...........4.153.....9.85...9.34..3.84..9....9.54.3....318..
.2........5.189.....6...........4.153.....9.85...9.34..3.84..91...9.54.3....318..
.2........5.189.....6...........4.153...1.9.85...9.34..3.84..91...9.54.3....3.8..
.2.......45.189.....6.........3.4.153...1.9..5...98.4..3..4..91...9.54.3......8..
.2........5.189.....6.........3.4.153...1.9.85...98.4..3..4..91...9.54.3......8..
.2.......45.189.....6.........3.4.15....1.9..5...9834..3..4..91...9.54.3......8..
.2.......45.189.....6...........4.153...1.9..5...9834..3..4..91...9.54.3....3.8..
.2........5.189.....6...........4.153...1.9.85...9834..3..4..91...9.54.3....3.8..
.2.......45.189.....6.........3.4.153.....9..5...98.4..3..4..9....9.54.3.....18..
.2.......45.189.....6.........3.4.15......9..5...9834..3..4..9....9.54.3.....18..
.2.......45.189.....6...........4.153.....9..5...9834..3..4..9....9.54.3....318..
1...5..8..57.8..6.86.3.7.1......345..3.....7.........238.67......5.31....71..8...
1...5..8...7.8..6.86.3.7.1......345.53.....7.........238.67......5.31....71..8...
1...5..8...71...6.86.3.7.1......345.53.....7.........238.67......5.3.....71..8...
1.3.5..8...7.8..6.86...7.1......345.53.....7.........238.67......5.31....71..8...
.2..56...45......6..9.......1.....7..7.32..5..3..716.2....6712....2.3..7...5...63
1...5..8..571...6.86.3.7.1......345..3.....7.........238.67......5.3.....71..8...
1.3.5..8...71...6.86...7.1......345.53.....7.........238.67......5.3.....71..8...
.2..56...45......6..9.......1....3...7..2..5..3..716.2....6712....2.3..7...5...6.
12345........8.........7...2.5...94..4..9...2..1....3....9...2..3.5....49.4...5.1
12345........8.........7...2.5...94..4..9.1.2.......3..1.9...2..3.5....49.4...5.1
12345........8.........7...2.5...94..4..9...2..1....3........2..3.5...949.4...5.1
12345........8.........7...2.5...94..4..9.1.2.......3..1.....2..3.5...949.4...5.1
12345........8.........7...2.5...94..4..9...2.91....3....9...2..3.5...94..4...5.1
12345........8.........7...2.5...94..4..9.1.2.9.....3..1.9...2..3.5...94..4...5.1
12345........8.........7....1.5...9..3.9...24..4...5.1.4..9.1.25.2...94..9.....3.
12345........8.........7......5...9..3.9...24..4...5.1.4..9...25.2...94..91....3.
12345........8.........7...2..5...9..3.9...24..4...5.1.4..9...25.....94..91....3.
12345........8.........7....1.....9..359...24..4...5.1.4..9.1.25.2...94..9.....3.
12345........8.........7....1.5...9..3.9...249.4...5.1.4..9.1.25.2...94........3.
12345........8.........7..........9..359...24..4...5.1.4..9...25.2...94..91....3.
12345........8.........7......5...9..3.9...249.4...5.1.4..9...25.2...94...1....3.
12345........8.........7...2......9..359...24..4...5.1.4..9...25.....94..91....3.
12345........8.........7...2..5...9..3.9...249.4...5.1.4..9...25.....94...1....3.
.2.45.....56......8...........94.......5.29.1....13.2..3....29..1..9.4.5.9..25.13
1.3..678..57....6..8....5...38...1..5.6.1.87.7......353718.5.......9.......2.....
1.3..678..57....6..8....5....8...1....631.87.7.......53718.5.......9.......2.....
12...6..9.571.9..6..927...12.........16.27...97.5.1....6....8.......5..2.......37
1....6..9.571.9..6...27...12.........16.27....7.5.1....6....8.......5..2.9.....37
1....678.4...8...66...27.41...8.........718.4...64..27..5.1....79.......8.......2
1....678.4.......66...27.41...8.........718.4....4..27..5.1....79..6....8.......2
1.....78.4.......66...27.41...8.........718.4...64..27..5.1....79..6....8.......2
1..4..78.4.......66...27.41...8.........718.4....4..27..5.1....79..6....8.......2
1..4..78.4...8...66...27.41...8.........718.4....4..27..5......79..6....8.......2
1.3.567...5..8....68...7..........4.316...8.5........253..1....7.8.65.1....8.3...
1.3.567...5..8....68...7..........4.316...8.5........253..1....7...65.13...8.....
1.3.567...5..8....68...7..........4.316...8.5........25...1....7...65.13...8.3...
1.3.567...5..8....68...7..........4.316...8.5........25...1....7...65.13.6.8.....
1.3.567...5..8....68...7..........4.316...8.5........25...1....7.8.65..3.6.8.....
.2..5....45......6..9..........15.67...2.3..1...67.32.....2715..7.3....2.1..6..73
.2..5....45......6..9..........15.67...2.3..1...67.32.....27.5..7.3.1..2.1..6..73
.2..56...45......6..9..........15.67...2.3..1....7.3......2715..7.3....2.1..6..73
.2..56...45......6..9..........15.67...2.3..1....7.3......27.5..7.3.1..2.1..6..73
.2....78.4.7...2.6.86....54..58...67.6.2.....87.6..42......3....4.51...........45
1.3...7.9.57....3.8.....15.....68.9....2.....98............3.1..39..1.7571...58..
1..4.6...4..18.2......72.1.....1.67....82.4...1.6.7.28..5.......3........4....867
1..4.6...4..18.2.6....72.1.....1..7....82.4...1.6.7.28..5.......3........4....867
..3.56..9...1....6.9.37..........8.........2.715....6.53.7.1.9..71.9......6.35...
1.3.56..9...1....6.9.37..........8.........2.715....6.53.7.1.9..7..9......6.35...
1.3.5..8..57.8..6.86...7.1......345..3.....7.........238.67......5.31....71..8...
1.3.5..8..571...6.86...7.1......345..3.....7.........238.67......5.3.....71..8...
12345........8.........7....1.....9..359...249.4...5.1.4..9.1.25.2...94........3.
12345........8.........7..........9..359...249.4...5.1.4..9...25.2...94...1....3.
12345........8.........7...2......9..359...249.4...5.1.4..9...25.....94...1....3.
.2..56...45......6..9.........3.5.67...27...1....6132..7..1.6.2.1...7.53.3.52.1..
.2..56...45......6..9.........3.5.67...27...1....6132..7..136.2.1...7.5..3.52.1..
.2..56...45......6..9.........3.5.67...27...1....6132..7..1.6.2.1.....53.3.52..7.
.2..56...45......6..9.........3.5.67...27...1....6132..7..136.2.1.....5..3.52..7.
.2..5....45......6..9.........3.5.67...27...1....6132..7..1...2.1.6.7.53.3.52.1..
.2..56...45......6..9.........3.5.67...27...1.....132..7..1...2.1.6.7.53.3.52.1..
.2..5....45......6..9.........3.5.67...27...1....6132..7..13..2.1.6.7.5..3.52.1..
.2..56...45......6..9.........3.5.67...27...1.....132..7..13..2.1.6.7.5..3.52.1..
.2..5....45......6..9.........3.5.67...27...1....6132..7..1...2.1.6...53.3.52..7.
.2..56...45......6..9.........3.5.67...27...1.....132..7..1...2.1.6...53.3.52..7.
.2..5....45......6..9.........3.5.67...27...1....6132..7..13..2.1.6...5..3.52..7.
.2..56...45......6..9.........3.5.67...27...1.....132..7..13..2.1.6...5..3.52..7.
.2..56...45......6..9.........5.3.67...27...1....6132..3..176.2.1.....7..7.32..5.
.2..56...45......6..9.........5.3.67...27...1....6132..3..176.2.1.....73.7..2..5.
.2..5....45......6..9.........5.3.67...27...1....6132..3..17..2.1.6...7..7.32..5.
.2..56...45......6..9.........5.3.67...27...1.....132..3..17..2.1.6...7..7.32..5.
.2..5....45......6..9.........5.3.67...27...1....6132..3..17..2.1.6...73.7..2..5.
.2..56...45......6..9.........5.3.67...27...1.....132..3..17..2.1.6...73.7..2..5.
1...5..8...7.8..6.86.3.7.1......345.53...............238.67....6.5.31....71..8...
1...5..8...71...6.86.3.7.1......345.53...............238.67....6.5.31....71..8...
1.3.5..8...7.8..6.86...7.1......345.53...............238.67....6.5.31....71..8...
1.3.5..8...71...6.86...7.1......345.53...............238.67....6.5.31....71..8...
123.5........8.........7......5..39..3.9...24..4...5.1.4..9.1.25.2...94..91....3.
123.5........8.........7......5..39..3.9...249.4...5.1.4..9.1.25.2...94...1....3.
123.5........8.........7...2..5..39..3.9...24..4...5.1.4..9.1.25.....94..91....3.
123.5........8.........7...2..5..39..3.9...249.4...5.1.4..9.1.25.....94...1....3.
123.5........8.........7....1.5..39..3.9...24..4...5.1.4..9.1.25.2...94..9.....3.
123.5........8.........7....1.5..39..3.9...249.4...5.1.4..9.1.25.2...94........3.
123.5........8.........7...2.5...94..4..9.1.2.91....3....9..32..3.5...94..4...5.1
123.5........8.........7...2.5...94..4..9.1.2.9.....3..1.9..32..3.5...94..4...5.1
123.5........8.........7...2.5...94..4..9.1.2..1....3....9..32..3.5....49.4...5.1
123.5........8.........7...2.5...94..4..9.1.2.......3..1.9..32..3.5....49.4...5.1
.2........5.189.....6...........4.153.....9.85...9834..3..4..91...9.54.3....318..
.2........5.189.....6.........3.4.153.....9.85...98.4..3..4..91...9.54.3.....18..


[Paquita]

and some B9B

Code: Select all

.....6.89...1.92.6....2.51...691...5..5.68.21..15.29..3.8........2....98.7.......
....56.89...1.92.6....2.51...691...5..5.68.21..1..29..3.8........2....98.7.......
..34.6...4.7.89....9.37.....69..4...7.463.8..83..9.4..........5...7639.8.......2.
..34.....4.7.89...69.37.....69..4...7.463.8..83..9.4..........5...7639.8.......2.
....56.89...1.92.6....2.51...596...1..6..8.25..1..29..3.8........2....98.7.......
....56.89...1.92.6....2.51...596......6.18.25..1..29..3.8........2....98.7.......
.....6.89...1.92.6....2.51...596...1..6..8.2...15.29..3.8........2....98.7.......
.....6.89...1.92.6....2.51...596......6.18.2...15.29..3.8........2....98.7.......
.2.4...8..5..89.3..9...25.4.8..43....36......7...........92.8......3594....8.4.52
.2.4...8..5..8923..9....5.4.8..43....36......7...........92.8......3594....8.4.52
.2.4...89.5..8..3..9...25.4.8..43....36......7...........92.8......35.4....8.4.52
.2.4...89.5..8.23..9....5.4.8..43....36......7...........92.8......35.4....8.4.52
.2.4..7.9.5.7.9.23.9....5...31...4..8...........3.4.......759.....9.32.4...2...57
.2....7.9.5.7.9..3.9...254..31...4..8...........3.4.......759.....9.32.4...24..57
.2....7.9.5.7.9.23.9....54..31...4..8...........3.4.......759.....9.32.4...24..57
.2.4..7.9.5.7.9.23.9....54..7.3.4...83.........1..........759.....9.3..4...2...5.
.2....7.9.5.7.9.23.9....54..7.3.4...83.........1..........759.....9.3..4...24..5.
.......8.457...2.6........129.5.......5..2.6..647......72.95......67.9....62.4...
.2.4..7.9.5.7.9..3.9...25...31...4..8...........3.4.......759.....9.32.4...2...57
.2.45..8..5..89.3..9...2..4.8..43....36......7...........92.8......3594....8.4.52
.2.45..8..5..89.3..9...2..4.8..43....36...4..7...........92.8......3594......4.52
.2.45..8..5..8923..9......4.8..43....36......7...........92.8......3594....8.4.52
.2.45..8..5..8923..9......4.8..43....36...4..7...........92.8......3594......4.52
.2.4...8..5..89.3..9...25.4.8..43....36...4..7...........92.8......3594......4.52
.2.4...8..5..8923..9....5.4.8..43....36...4..7...........92.8......3594......4.52
.2.45..89.5..8..3..9...2..4.8..43....36......7...........92.8......35.4....8.4.52
.2.45..89.5..8.23..9......4.8..43....36......7...........92.8......35.4....8.4.52
.2.45..89.5..8..3..9...2..4.8..43....36...4..7...........92.8......3594......4.52
.2.4...89.5..8..3..9...25.4.8..43....36...4..7...........92.8......3594......4.52
....56.89...1.9..6....2.51...59.......6.18.25..1..296.3.8.9......2....98.7.......
....56.89...1.92.6....2.51...59.......6.18.25..1..296.3.8........2....98.7.......
....56.89...1.9..6....2.51...59....1..6..8.25..1..296.3.8.9......2....98.7.......
....56.89...1.92.6....2.51...59....1..6..8.25..1..296.3.8........2....98.7.......
....56.89...1.9..6....2.51...596......6.18.25..1..29..3.8.9......2....98.7.......
....56.89...1.9..6....2.51...596...1..6..8.25..1..29..3.8.9......2....98.7.......
.....6.89...1.92.6....2.51...59....1..6..8.2...15.296.3.8........2....98.7.......
.....6.89...1.92.6....2.51...59.......6.18.2...15.296.3.8........2....98.7.......
....56.89...1.9..6....2.51...59....1..6..8.2...15.296.3.8.9......2....98.7.......
....56.89...1.9..6....2.51...596...1..6..8.2...15.29..3.8.9......2....98.7.......
.2.45..8..5..8923..9......4.8..3.....36...4..7...........92.8......4395......5.42
.2.45..8..5..89.3..9...2..4.8..3.....36...4..7...........92.8......4395......5.42
.2.45..8..5..8923..9......4.8..34....36...4..7...........92.8.......395......5.42
.2.45..8..5..8923..9......4.8..34....36......7...........92.8.......395....8.5.42
.2.45..8..5..89.3..9...2..4.8..34....36...4..7...........92.8.......395......5.42
.2.45..8..5..89.3..9...2..4.8..34....36......7...........92.8.......395....8.5.42
.2.4...8..5..8923..9....5.4.8..3.....36...4..7...........92.8......4395......5.42
.2.4...8..5..89.3..9...25.4.8..3.....36...4..7...........92.8......4395......5.42
.2.4...8..5..8923..9....5.4.8..34....36...4..7...........92.8.......395......5.42
.2.4...8..5..8923..9....5.4.8..34....36......7...........92.8.......395....8.5.42
.2.4...8..5..89.3..9...25.4.8..34....36...4..7...........92.8.......395......5.42
.2.4...8..5..89.3..9...25.4.8..34....36......7...........92.8.......395....8.5.42
.2.4...89.5..8..3..9...25.4.8..3.....36...4..7...........92.8......43.5....8.5.42
.2.45..89.5..8..3..9...2..4.8..3.....36...4..7...........92.8......43.5....8.5.42
.2.45..89.5..8..3..9...2..4.8..34....36......7...........92.8.......3.5....8.5.42
.2.45..89.5..8..3..9...2..4.8..3.....36...4..7...........92.8......4395......5.42
.2.45..89.5..8.23..9......4.8..3.....36...4..7...........92.8......43.5....8.5.42
.2.4...89.5..8..3..9...25.4.8..34....36......7...........92.8.......3.5....8.5.42
.2.4...89.5..8..3..9...25.4.8..3.....36...4..7...........92.8......4395......5.42
.2.4...89.5..8.23..9....5.4.8..3.....36...4..7...........92.8......43.5....8.5.42
.2.45..89.5..8.23..9......4.8..34....36......7...........92.8.......3.5....8.5.42
.2.45..89.5..8..3..9...2..4.8..34....36...4..7...........92.8.......395......5.42
.2.4...89.5..8.23..9....5.4.8..34....36......7...........92.8.......3.5....8.5.42
.2.4...89.5..8..3..9...25.4.8..34....36...4..7...........92.8.......395......5.42
.2....7.9.5.7.9..3.9...254..7.3.4...83.........1..........759.....9.32.4...24..5.
.2.4..7.9.5.7.9..3.9...254..7.3.4...83.........1..........759.....9.32.4...2...5.
...45..8.4.......6......14..7.8...9..4592..7...8.75.2..92.48......59....8..2.7...
....5..8.4.......6......14..7.8.4.9..4592..7...8.7..2..92.48.....459....8....7...
....5..8.4.......6......14..7.8.4.9..4592..7...8.7..2..92.48...7..59....8..2.....
....5..8.4.......6......14..7.8.4.9..4592..7...8.7..2..92.48......59....8..2.7...
...45..8.........6......14..7.8.4.9..4592..7...8.7..2..92.48.....459....8....7...
...45..8.........6......14..7.8...9..4592..7...8.75.2..92.48.....459....8....7...
...45..8.........6......14..7.8.4.9..4592..7...8.7..2..92.48...7..59....8..2.....
...45..8.........6......14..7.8...9..4592..7...8.75.2..92.48...7..59....8..2.....
...45..8.4.......6......14.2.8.75.9..4592..7.97.8...2..92.48......59....8..2.7...
...45..8.........6......14.2.8.75.9..4592..7.97.8...2..92.48.....459....8....7...
...45..8.........6......14.2.8.7..9..4592..7.97.8.4.2..92.48.....459....8....7...
...45..8.........6......14.2.8.75.9..4592..7.97.8...2..92.48...7..59....8..2.....
...45..8.........6......14.2.8.7..9..4592..7.97.8.4.2..92.48...7..59....8..2.....
....5..8.4.......6......14.2.8.7..9..4592..7.97.8.4.2..92.48......59....8..2.7...
....5..8.4.......6......14.2.8.7..9..4592..7.97.8.4.2..92.48.....459....8....7...
....5..8.4.......6......14.2.8.7..9..4592..7.97.8.4.2..92.48...7..59....8..2.....
12..5.78..57...2.6..8....1......4.......18672...3.......1...5.776.8...21..2...86.
12..5.78..57...2.66.8....1......4.......18672...3.......1...5.77..8...21..2...86.
12..5.78..57.8.2.66......1......4.......18672...3......81...5.77......21..2...86.
12..5.78..57.8.2.6..8....1......4.......18672...3.......1...5.776.....21..2...86.
1.3..67...57..9...96...715..7....59.6.5....17.9....6.3....4.......8.1........53.1
1.3..67.9.57..9...96...715..7....5..6.5....17.9....6.3.1..4.......8.1........53..
1.3..67.9.57..9...96...715..7....5..6.5....17.9....6.3....4.......8.1........53.1
1.3..67...57..9...96...715..7....59.6.5....17......6.3.1..4.......8.1........53..
1.3..67...57..9...96...715..7....59.6.5.....7..1...6.3....4.......8.1........53.1
..345.7..45.7.91...7..315...145.3...3.7.1....59...........4..2.......4.69.....3..
..345.7..45...91...7..315...1.5.3...3.7.1....59..74..........2.......4.694....3..
..345.7..45.7.91...7..315...1.5.3...3.7.1....59...4..........2.......4.694....3..
..345.7..45...91...7..315...145.3...3...1....59..7........4..2.......4.69.....3..
..345.7..45...91...7..315...145.3...3...1....59..7...........2.......4.694....3..
.234....945.7.9..27.9.3...4...5.7..3......8.7.......1...2.43....7.9.5...93.2.....
.234....9.5.7.9..27.9.3...4...5.7..3......8.7.......1...2.43....749.5...93.2.....
.234....945...9..27.9.3...4...5.7..3......8.7.......1...2.43....7.9.5...93.27....
.234....945...9..27.9.3...4...5....3......8.7..7....1...2.43......9.5...93.27....
.234....9.5...9..27.9.3...4...5....3......8.7..7....1...2..3.....49.5...93.27....
.234....9.5...9..27.9.3...4...5.7..3......8.7.......1...2..3.....49.5...93.27....
.......8.457...2.6........129.5.......5.42....647......72.956.....67.9....62.4...
.......8.457...2.6........129.56......5..2....647......72.956.....67.9....62.4...
.......8.457...2.6........129.5.......5.42....647......72.956.....67.9..9..2.4...
.......8.457...2.6........129.5.......5..2.6..647......72.956.....67.9..9..2.4...
.......8.457...2.6........129.56......5..2....647......72.956.....67.9..9..2.4...
.......8.457...2.6........129.5.........42....647......72.956..5..67.9....62.4...
.......8.457...2.6........129.5.........42....647......72.956..5..67.9..9..2.4...
.......8.457...2.6........129.5..........2.6..647......72.956..5..67.9..9..2.4...
.......8.457...2.6........129.5.......5.42.6..647......72.95....4.67.9....62.....
.......8.457...2.6........129.5.......5.42....647......72.956...4.67.9....62.....
.......8.457...2.6........129.5.......5.42....647......72.956...4.67.9..9..2.....
.......8.457...2.6........129.5.........42.6..647......72.95...54.67.9....62.....
.......8.457...2.6........129.5.........42....647......72.956..54.67.9....62.....
.......8.457...2.6........129.5.........42....647......72.956..54.67.9..9..2.....
.......8.457...2.6........129.56.........2.6..647......72.9....5..67.9....62.4...
.......8.457...2.6........129.5..........2.6..647......72.95...5..67.9....62.4...
.......8.457...2.6........129.56.........2....647......72.9.6..5..67.9....62.4...
.......8.457...2.6........129.56.........2....647......72.9.6..5..67.9..9..2.4...
1...5..89.5..8.13...9.3...4.14.9........47......6......41....5383.....9.9.5...8.1
1.3.5..89.5..8.1....9.3...4.14.9........47......6......41....5383.....9.9.5...8.1
1...5...9.5..8.13..89.3...4.14.9........47......6......41....5383.....9.9.5...8.1
1.3.5...9.5..8.1...89.3...4.14.9........47......6......41....5383.....9.9.5...8.1
1...5..89....8.13...9.3.5.4.14.9........47......6......41.....383.....9.9.5...8.1
1.3.5..89....8.1....9.3.5.4.14.9........47......6......41.....383.....9.9.5...8.1
1...5...9....8.13..89.3.5.4.14.9........47......6......41.....383.....9.9.5...8.1
1.3.5...9....8.1...89.3.5.4.14.9........47......6......41.....383.....9.9.5...8.1
1...5..89.5..8.13...9.3...4.41.9........47......6.......4....5383.....9.9.5...8.1
1.3.5..89.5..8.1....9.3...4.41.9........47......6.......4....5383.....9.9.5...8.1
1...5...9.5..8.13..89.3...4.41.9........47......6.......4....5383.....9.9.5...8.1
1.3.5...9.5..8.1...89.3...4.41.9........47......6.......4....5383.....9.9.5...8.1
1...5..89....8.13...9.3.5.4.41.9........47......6.......4.....383.....9.9.5...8.1
1.3.5..89....8.1....9.3.5.4.41.9........47......6.......4.....383.....9.9.5...8.1
1...5...9....8.13..89.3.5.4.41.9........47......6.......4.....383.....9.9.5...8.1
1.3.5...9....8.1...89.3.5.4.41.9........47......6.......4.....383.....9.9.5...8.1
..3.567....6..9.....923.5...4...........72...8.7....2....59.2.6....2739....6.3.5.
..3.567.9..6........923.5...4...........72...8.7....2....59.2.6....2739....6.3.5.
..3.567....6..9.3...92..5...4...........72...8.7....2....59.2.6....2739....6.3.5.
..3.567.9..6....3...92..5...4...........72...8.7....2....59.2.6....2739....6.3.5.
..3.5.7....6..9.....923.56..4...........72...8.7....2....59.2.6....2739....6.3.5.
..3.5.7.9..6........923.56..4...........72...8.7....2....59.2.6....2739....6.3.5.
..3.5.7....6..9.3...92..56..4...........72...8.7....2....59.2.6....2739....6.3.5.
..3.5.7.9..6....3...92..56..4...........72...8.7....2....59.2.6....2739....6.3.5.
..3.567....6..9.....923.5...4...........27...8.7....2....59.2.6....7.39....6.3.5.
..3.567.9..6........923.5...4...........27...8.7....2....59.2.6....7.39....6.3.5.
..3.567....6..9.3...92..5...4...........27...8.7....2....59.2.6....7.39....6.3.5.
..3.567.9..6....3...92..5...4...........27...8.7....2....59.2.6....7.39....6.3.5.
..3.5.7....6..9.....923.56..4...........27...8.7....2....59.2.6....7.39....6.3.5.
..3.5.7.9..6........923.56..4...........27...8.7....2....59.2.6....7.39....6.3.5.
..3.5.7....6..9.3...92..56..4...........27...8.7....2....59.2.6....7.39....6.3.5.
..3.5.7.9..6....3...92..56..4...........27...8.7....2....59.2.6....7.39....6.3.5.


[denis_berthier]

Hi Paquita,

some more B10B

As before, all have a tridagon and 101/237 can be solved by the elementary tridagon rule + W2 + S3.

and some B9B

All have a tridagon and 24/151 can be solved by the elementary tridagon rule + W2 + S3.

You have quite a lot of new B10B and B9B (surprisingly more 10 than 9). Do you also have many new B7B and B8B? It would be interesting to check whether all the new B8B have a tridagon (which I guess should be true) and for the B7B to know the origin of those that don't have one.
.

[Paquita]

Yes this started with just B10B's. After a while some B9Bs came up. All the puzzles are related, found with vicinity searches alternated with expands (also expands beyond min-expands).
I did not find any B8B or B7B - I would have reported them. Until now the flow of puzzles is still continuing with this recipe. I suppose it wil stop some time, the BxBs seem to come in clusters and this is a larger cluster.

[denis_berthier]

Yes this started with just B10B's. After a while some B9Bs came up. All the puzzles are related, found with vicinity searches alternated with expands (also expands beyond min-expands).
I did not find any B8B or B7B - I would have reported them. Until now the flow of puzzles is still continuing with this recipe. I suppose it wil stop some time, the BxBs seem to come in clusters and this is a larger cluster.

It's interesting to see that the original B10Bs don't give low BxB.
In [HCCS2], starting with the 3 known B14B and applying BRT+1 expansion, I obtained 187 non-isomorphic minimals (Table 6.14), with no other B14B (nor any BxB, B>6, same as you), but there were lots of low BxBs (and lots of puzzles in T&E(1) - Table 6.15)).

[Paquita]

Well to be precise, there are lower BxB's (below 7) in the process, that I did not publish. But it seems that there is a fair chance a B10B will give a new B10B with vicinity or expand search. I also noticed when I found some higher BxB in my earlier files, the puzzles were clustered. But yes, a large cluster like this is new.

[Paquita]

The final list for B10B - I have come to the end without generating new high BXB

Code: Select all

1....678.4......366...371.4.9.......7..8.3...8.5..........41..7...6..3.....3.8.61
1..4.678.4......366...371...9.......7..3.8...8.5..........41..7...6..34....8...61
1....678.4......366...371.4.9.......7..3.8...8.5..........41..7...6..3.....8...61
.2.4...8.4.6....3.78..32.6........71......9......74.2.34..6......23.8...6.8.47...
.2.4...8.4.6.8..3.7...32.6........71......9......74.2.34..6......23.8...6.8.47...
.234...8.4.6....3.78...2.6........71......9......74.2..4..6......23.8...6.8.47...
.234...8.4.6.8..3.7....2.6........71......9......74.2..4..6......23.8...6.8.47...
..3..6...4...8.....8937.4...96..7.4.3.49.8.6.87..4........9367.......1..........2
..3..6...4...89....8937.4...96..7.4.3.4..8.6.87..4........9367.......1..........2
.2.4...8.4.6....3.78..32.6........71......9......47.2.34..6......23.8...6.8.7....
.2.4...8.4.6.8..3.7...32.6........71......9......47.2.34..6......23.8...6.8.7....
.234...8.4.6....3.78...2.6........71......9......47.2..4..6......23.8...6.8.7....
.234...8.4.6.8..3.7....2.6........71......9......47.2..4..6......23.8...6.8.7....
..3..6...4...8.....8937.4...9...7.6.3.69.8.4.87..4........9367.......1..........2
..3..6...4...89....8937.4...9...7.6.3.6..8.4.87..4........9367.......1..........2
1..4.678.4......366...371...9.......7..8.3...8.5..........41..7...6..34....3.8.61
.....6...4571........3.....2.....49.....1..7297..2.5.1.12....4759.....2...4...9.5
.....6...4571........3.....2.....49.....1..7297..2.5.1.1......759.....2...42..9.5
1.3.........1.9....8.......2..69.5..5..7..61.7......92.....1.75....6792....52...6
1.3.....9...1.9....8.......2..69.5..5..7..61.7.......2.....1.75....679.....52...6
1.3..67.9.57..9.366.....51....8.....3759.........2....53.6..1.77.1....6...9.....3
1.3..67.9.57..9.366.....51....8.....3759.........2.....3.6..1.77.1....6...9....53
1.3..67.9.57..9.366.....51....8.....3759.........2.....3....1.77.1....6..69....53
12.4..78...71..2.6.68.....42.....1...4....6.77.6..4.28.....1872....3.........5...
12.4..78...71..2.6.68.....428....1...4....6.77.6..4.2......1872....3.........5...
12.4..78...71..2.6.68.....428....14..4....6.77.6....2......1872....3.........5...
1..4.678.4..1...366...374.1.9.......7..8.3...8.5..........14..7...6..3.....3.8.64
1..4.678.4..1...366...374...9.......7..8.3...8.5..........14..7...6..31....3.8.64
1..4.678.4..1...366...374.1.9.......7..3.8...8.5..........14..7...6..3.....8...64
1..4.678.4..1...366...374...9.......7..3.8...8.5..........14..7...6..31....8...64
12..5.7.9.5......6....7.51.29.....5...6...9.27.5...1.......4......3.....961.27...
..345....45...9...6.9.2....24.5...6.....62.9..9.3.....532...64.........1......8..


[Paquita]

And for B9B - and that list is larger than the B10B in the final stage of my search

Code: Select all

..3..6...4.7..9.368.......4..86.....7.6.439..9..8.7..........1....3748..........5
..3..6...4.7.89..68.......4..86.....7.6.439..9..8.7..........1....3748..........5
.2..56..9.571.9...6...7....29.6.1....15.27.6...65.....571....92......3.........4.
.2..5...9.571.9..66...7....29.6.1....15.27.6...65.....571....92......3.........4.
..345.7..45.7.91...7..315...145.3...39..17.......4...........2.......4.694....3..
..345.7..45...91...7..315...145.3...39..17.......4........7..2.........694....3..
..34..7..45...91...7..315...145.3...39..17.......4........7..2......5..694....3..
..34..7..45.7.91...7..315...145.3...39..17.......4...........2......5..694....3..
..34..7..45...91...7..315...145.3...39..17.......4........7..2......54.69.....3..
..34..7..45.7.91...7..315...145.3...39..17.......4...........2......54.69.....3..
..345.7..45...91...7..315...145.3...39..17................7..2.......4.694....3..
..34..7..45...91...7..315...145.3...39..17................7..2......54.694....3..
..345.7..45...91...7..315...145.3...39..17................74.2.........69.....3..
..34..7..45...91...7..315...145.3...39..17................74.2......5..69.....3..
..345.7..45.7.91...7..315...145.3...39..17.................4.2.........69.....3..
..34..7..45.7.91...7..315...145.3...39..17.................4.2......5..69.....3..
..34.6...4.7.89...86.........8.9....7.6.439..9..8.76.........1....37486.........5
..3..6...4.7.89...86.7.......8.9....7.6.439..9..8.76.........1....37486.........5
..34.6...4.7..9.368..........8.9....7.6.439..9..8.76.........1....3748..........5
..34.6...4.7.89..68..........8.9....7.6.439..9..8.76.........1....3748..........5
..34.6...4.7..9.3.86.........8.9....7.6.439..9..8.76.........1....3748..........5
..34.6...4.7.89..686.........86.....7...439..9..8.76.........1....3748..........5
..3..6...4.7..9.368.......4..8.9....7.6.439..9..8.76.........1....3748..........5
..3..6...4.7.89..68.......4..8.9....7.6.439..9..8.76.........1....3748..........5
..3..6...4.7..9.3.86......4..8.9....7.6.439..9..8.76.........1....3748..........5
..3..6...4.7.89...86......4..8.9....7.6.439..9..8.76.........1....3748..........5
..3..6...4.7..9.368..7.......8.9....7.6.439..9..8.76.........1....3748..........5
..3..6...4.7.89..68..7.......8.9....7.6.439..9..8.76.........1....3748..........5
..3..6...4.7..9.3.86.7.......8.9....7.6.439..9..8.76.........1....3748..........5
..3..6...4.7.89..686.7.......86.....7...439..9..8.76.........1....3748..........5
..34.6...4.7..9.3686.........86.....7...439..9..8.7..........1....37486.........5
..34.6...4.7.89...86.........86.....7...439..9..8.76.........1....37486.........5
..34.6...4.7.89..686.........86.....7...439..9..8.7..........1....37486.........5
..3..6...4.7..9.3.8.......4..8.9....7.6.439..9..8.76.........1....37486.........5
..3..6...4.7..9.3.8.......4..86.....7.6.439..9..8.76.........1....37486.........5
..3..6...4.7.89...8.......4..8.9....7.6.439..9..8.76.........1....37486.........5
..3..6...4.7.89...8.......4..86.....7.6.439..9..8.76.........1....37486.........5
..3..6...4.7..9.3686......4..86.....7...439..9..8.7..........1....37486.........5
..3..6...4.7.89..686......4..86.....7...439..9..8.7..........1....37486.........5
..3..6...4.7..9.3686.7.......86.....7...439..9..8.7..........1....37486.........5
..3..6...4.7.89...86.7.......86.....7...439..9..8.76.........1....37486.........5
..3..6...4.7.89..686.7.......86.....7...439..9..8.7..........1....37486.........5
..34.6...4.7..9.3.86.........86.....7...439..9..8.76.........1....3748..........5
..3..6...4.7..9.3.86......4..86.....7...439..9..8.76.........1....3748..........5
..3..6...4.7.89...86......4..86.....7...439..9..8.76.........1....3748..........5
..3..6...4.7..9.3.86.7.......86.....7...439..9..8.76.........1....3748..........5
1.3..67.9.57..9..6.9...715..1........76...5.39.5....17.6..4.......8..........53.1
1.3..67.9.57..9..6.9...715..1........76...5.39.5....17....4.......8.1........53.1
1.3..67.9.57..9..6.9...715...........76...5.39.5....17.6..4.......8.1........53.1
1.3..67.9.57..9..6.....715...........76...5.39.5....17.6..4......98.1........53.1
1.3..67.9.57..9..6.....715..1........76...5.39.5....17....4......98..........53.1
1.3..67.9.57..9..6.....715..1........76...5.39.5....17....4......98.1........53..
1.3..67.9.57..9..6.9...715...........76...5.39.5....17..1.4.......8..........53..
1.3..67.9.57..9..6.....715...........76...5.39.5....17..1.4......98..........53..
..3..6...4.7.89...86.37...4..8.9....7.6.439..9..8.76.........1....7348..........5
..3..6...4.7.89...8..37...4..86.....7.6.439..9..8.76.........1....73486.........5
..3..6...4.7.89...86.37......8.9....7.6.439..9..8.76.........1....73486.........5
..3..6...4.7.89...8..37...4..8.9....7.6.439..9..8.76.........1....73486.........5
..3..6...4.7.89...86.37...4..86.....7...439..9..8.76.........1....7348..........5
..3..6...4.7.89..686.37......86.....7...439..9..8.76.........1....7348..........5
..3..6...4.7.89..68..37......8.9....7.6.439..9..8.76.........1....7348..........5
..3..6...4.7.89..686.37......86.....7...439..9..8.7..........1....73486.........5
..3..6...4.7.89...86.37......86.....7...439..9..8.76.........1....73486.........5
..3..6...4.7..9.3.8...7...4..86.....7.6.439..9..8.76.........1....73486.........5
..3..6...4.7..9.3.8...7...4..8.9....7.6.439..9..8.76.........1....73486.........5
..3..6...4.7..9.3.86..7......8.9....7.6.439..9..8.76.........1....7348..........5
..3..6...4.7..9.368...7......8.9....7.6.439..9..8.76.........1....7348..........5
..3..6...4.7..9.3686..7......86.....7...439..9..8.7..........1....73486.........5
..3..6...4.7..9.3.86..7......86.....7...439..9..8.76.........1....7348..........5
........945.....36.69...14......8..3...2.....59..4....63..1.95..1..3..649.4.6...1
........945.....36.69...14......8......29....59..4....63..1.95..1..3..649.4.6...1
.........45.....36.69...14......8..3...29....59..4....63..1.95..1..3..649.4.6...1
.........45.....36.69...14......8..3...29..1.59..4....63..1.95..1..3..649.4.6....
........945.....36.69...14......8......2...1.59..4....63..1.95..1..3..649.4.6....
........945.....36.69...14......8......29..1.5...4....63..1.95..1..3..649.4.6....
.........45.....36.69...14......8.9....2.....5...4....63..1.95..1..3..649.4.6...1
.........45.....36.69...14......8.9....2...1.5...4....63..1.95..1..3..649.4.6....
1.3.567....7.8....68...75..........4361...8.........2.5...3....7.8.61....365.8.1.
1.3.567...5..8....68...75..........4361...8.5.......2.5...3....7.8.61....36..8.1.
1.3.567....7.8....68...75..........4361...8.5.......2.5...3....7.8.61....365.8...
1.3.567....7.8....68...75..........4361...8.5.......2.5...3....7.8.61....36..8.1.
1.3..67...5..8....68...75..........4361...8.........2.5...3....7.8.61....365.8.1.
1.3..67...5..8....68...75..........4361...8.........2.5...3....7.8.61.5..365.8...
1.3.567....7.8....68...75..........4361...8.........2.5...3....7.8.61.5..36..8...
1.3..67...5..8....68...7...........4361...8.5.......2.5...3....7.8.61.5..365.8...
1.3..67...5..8....68...75..........4361...8.5.......2.5...3....7.8.61....365.8...
1.3.567...5..8....68...75..........4361...8.5.......2.5...3....7...61..3..6..8.1.
1.3.567....7.8....68...75..........4361...8.5.......2.5...3....7...61..3..6..8.1.
1.3.567....7.8....68...75..........4361...8.........2.5...3....7...61..3..65.8...
1.3.567....7.8....68...75..........4361...8.........2.5...3....7...61.53..6..8...
1.3..67...5..8....68...7...........4361...8.5.......2.5...3....7...61.53..65.8...
1.3..67...5..8....68...75..........4361...8.........2.5...3....7...61..3..65.8...
..345.7..4....9...7...325..2.79......4537....93...4...392...45........1.........6
12...6.8.4....9.2..891...6.2.89.1....1.86....96..42........4.1.........7.9....34.
12...6.8.4....9.2..891...6.2.8..1....1.86....96..42.......94.1.........7......34.
12...6.8.4......2..891...6.2.89.1....1.86....96..42.......94.1.........7......34.
12.....8.4.6..9.2..891...6.2.89.1....1.86....9...42........4.1.........7.9....34.
12.....8.4.6..9.2..891...6.2.8..1....1.86....9...42.......94.1.........7......34.
12.....8.4.6....2..891...6.2.89.1....1.86....9...42.......94.1.........7......34.
..345.7..4....9...7.9.325..2.79..........4....4537...........1.........6932...45.
..345.7..4....9...7...325..2.79......9...4....4537...........1.........6932...45.
1...5...94...89..3.8.1.3..5..13.5...8.5.94...93.81......8...2.4.......7.....4...1
1...5...94...89..3.8.1.3..5..13.5...8.5.94...93..1..........2.4.......7.....48..1
1...5...94....9..3.8.1.3..5..13.5...8.5.94...93.81..........2.4.......7.....48..1
1.......945..89..3.8.1.3..5..13.5...8...94...93.81......8...2.4.......7.....4...1
1.......945..89..3.8.1.3..5..13.5...8...94...93..1..........2.4.......7.....48..1
1.......945...9..3.8.1.3..5..13.5...8...94...93.81..........2.4.......7.....48..1
.2..5.78.4...8..237...3...52.5....3438......7..7...85......1.......7..42...94....
.2..5.78.45..8..237...3....2......3438......7..7...85......1.......7..42...94....
..34.......678...27...23..623..68....483.....6.7..4.........9..874...2.3.......1.
..34.....4.678...27...23..623..68.....83.....6.7..4.........9..874...2.3.......1.
..34.......678...278..23..623..68....4.3.....6.7..4.........9..874...2.3.......1.
..34.....4.678...278..23..623..68......3.....6.7..4.........9..874...2.3.......1.
.2..5....45......6..9.......3..6715..7.3..6.2.1..2..7.....15.67...2.3..1...67.32.
.2..5....45......6..9.......3..67.5..7.3.16.2.1..2..7.....15.67...2.3..1...67.32.
12...67.9..7..9.6.6.9..2.5127....9....6.....29.5...61.5.1..7......8.........35...


[denis_berthier]

The final list for B10B - I have come to the end without generating new high BXB

As expected, all have a tridagon - but only 2/32 can be solved with tridagon + W2+S3

And for B9B - and that list is larger than the B10B in the final stage of my search

Here also, all have a tridagon - and only 6/116 can be solved with tridagon + W2+S3

Now that your search is finished, could you explain:
- what was your set of seeds ;
- what were your expansion and +p-q techniques ;
- in what sense the search is finished, i.e. what closure property the final list of puzzles has.

[coloin]

I can confirm that the B10B and B9B puzzles from before are new, and only a few more twins and minimals generated from the max expands

Hidden Text: Show

Code: Select all

1..4.678.4..18.2.66...27.14...8.........148.7...67..21..5.6....79..4....8.......2 #6# 95444 FNBP C31/M2.26.252   # 10
1..4.678.4..18.2.66...27.14...8.........748.1...61..27..5.6....79..4....8.......2 #6# 95444 FNBP C31/M2.26.252   # 10
1..4.678.4..18.2.66...27.14...8.........748.1...61..27..5.4....79..6....8.......2 #6# 95442 FNBP C31/M2.26.252   # 10
1..4.678.4..18.2.66...27.41...8.........418.7...67..24..5.6....79..1....8.......2 #6# 95442 FNBP C31/M2.26.252   # 10
1..4.678.4..18.2.66...27.41...8.........718.4...64..27..5.1....79..6....8.......2 #6# 95442 FNBP C31/M2.26.252   # 10
1..4.678.4..18.2.66...27.41...8.........718.4...64..27..5.6....79..1....8.......2 #6# 95442 FNBP C31/M2.26.252   # 10
12..56..9.571.9..66.927...12.........16.27...97.5.1....6....8.......5..2.9.....37 #6# 95442 FNBP C31/M2.26.252   # 10
1.3.567...57.8....68...7..........4.316...8.5........253..1....7.8.65.13.618.3... #6# 95432 FNBP C31/M2.26.252   # 10
1.3.567...57.8....68...7..........4.361...8.5........251..3....7.8.65.13.368.1... #6# 95432 FNBP C31/M2.26.252   # 10
1.3.567...57.8....68...7..........4.361...8.5........253..1....7.8.65.13.168.3... #6# 95432 FNBP C31/M2.26.252   # 10
1.3.567...57..9...69..7............4361...95........2.51...3...7.9.65.31.3691.... #6# 95429 FNBP C31/M2.26.252   # 10
1.3..678..57....6.68....5...38...1..5.631.87.71.....353718.5.......9.......2..... #6# 95422 FNBP C31/M2.26.252   # 10
.2.45.....56......8...........94.......5.29.1....13.2..3.1.429..1.39.4.5.9..25.13 #3# 95292 FNBP C30/M2.18.364   # 10     11.2
.2.45.....56......8...........94.......5.29.1....13.2..1.3.429..3.19.4.5.9..25.13 #N# 95292 FNBP C30/M2.18.364   # 10
.2.45.....56......8...........94.......5.29.1....13.2..9.3.421..3.19.4.5.1..25.93 #N# 95292 FNBP C30/M2.18.364   # 10
12.....894.6.8.12..98.1.6.42.1....68.49.....186....49....56....6.2.9.........7..6 #5# 95244 FNBP C32/M2.33.198   # 10
.23...78.4.7.8..3668....4.......1...36.7.8.......9....7.2...8.483.2...67.468..32. #5# 95237 FNBP C32/M2.33.198   # 10
1.3.56....5718...686.7.3..5..16.8...38..71.6..7653.......8.76.3......4.........9. #5# 95237 FNBP C32/M2.33.198   # 10
1.3.567...5718....68.3.75..........436....8.5.......2.53..1....7.8.65....168.3.5. #5# 95214 FNBP C32/M2.33.198   # 10
...45..8.4.......6......14.2.8.95...39.8.4.2..4523..9..34.28...8..9.3...9.254.... #5# 95207 FNBP C32/M2.33.198   # 10
12....7.9.57...23...9....15...6.........75192.....4....12.3.95.7.5...3.193.....27 #7# 95151 FNBP C31/M2.21.312   # 10
1..4.678.4..18.2.66...27.14...8..46.....748.1...61..27..5......79.......8.......2 #7# 95146 FNBP C31/M2.21.312   # 10
1..4.678.4..18.2.66...27.14...8..64.....148.7...67..21..5......79.......8.......2 #7# 95146 FNBP C31/M2.21.312   # 10
1..4.678.4..18.2.66...27.14...8..64.....748.1...61..27..5......79.......8.......2 #7# 95146 FNBP C31/M2.21.312   # 10
1..4.678.4..18.2.66...27.41...8..16.....718.4...64..27..5......79.......8.......2 #7# 95146 FNBP C31/M2.21.312   # 10
1..4.678.4..18.2.66...27.41...8..61.....418.7...67..24..5......79.......8.......2 #7# 95146 FNBP C31/M2.21.312   # 10
1..4.678.4..18.2.66...27.41...8..61.....718.4...64..27..5......79.......8.......2 #7# 95146 FNBP C31/M2.21.312   # 10
12..56..9.571.9..66.927...12..96.....16.27...97.5.1.........8.......5..2.......37 #7# 95146 FNBP C31/M2.21.312   # 10
..345..89....892.3...3.245.....95.4....2.49.8...83..25.7.......5.2948...6........ #7# 95139 FNBP C31/M2.21.312   # 10
1.3.567...5718....68.3.7..........4.316...8.5........253..1....7.8.65....618.3... #7# 95139 FNBP C31/M2.21.312   # 10
1.3.567...5718....68.3.7..........4.361...8.5........251..3....7.8.65....368.1... #7# 95139 FNBP C31/M2.21.312   # 10     11.8
1.3.567...5718....68.3.7..........4.361...8.5........253..1....7.8.65....168.3... #7# 95139 FNBP C31/M2.21.312   # 10
1.3.567...571.9...69.37............4361...95........2.51...3...7.9.65....3691.... #7# 95136 FNBP C31/M2.21.312   # 10     11.8
1.3..678..57....6368....5.1.38...1..5.6...87.71.....353718.5.......9.......2..... #7# 95134 FNBP C31/M2.21.312   # 10
.2345..8.45..89.3.8.93.2...2.8.45.....593....93.2.8.........6....2....47....24.9. #1# 21235 FNBP C32/M2.13.1008  # 10
.2..56...45......6..9..........15.67...2.3..1...67.32.....2715..7.3.16.2.1.56..73 #1#  2269 FNBP C32/M2.47.139   # 10
.2....78.4.7...2.6.86....542.58...67.642..5.887.6..42......3....4.51...........45 #5#  1639 FNBP C32/M2.60.109   # 10
1..4.678.4..18.2.6....72.14....1.67....82.4.1.1.6.7.28..5.......3........4....867 #5#  1639 FNBP C32/M2.60.109   # 10
1.3...7.9.57....3.89....15.....68.9....2.....98.......5.8..391..39..1.7571...58.3 #5#  1635 FNBP C32/M2.60.109   # 10
1.3.5..8945..8.13..89...5.4...6..........7...9318.....3.5...9...945...1381....45. #5#  1635 FNBP C32/M2.60.109   # 10
1.3.56..9.571.9..669.37..........8.........2.715....6.53.7.1.9..71.9....9.6.35... #5#  1635 FNBP C32/M2.60.109   # 10
....56.89...1.92.6....2.15...561.89...95.8.12..1.926.53.........78.6...........68 #7#  1265 FNBP C32/M2.45.145   # 10
.2.45.7.9.5.7.9.23.9..3254..31...4..8...........3.4.......752.....2.39.4...94..57 #7#  1265 FNBP C32/M2.45.145   # 10
1..4.678.4..18.2.6....27.41....7.61....81.4.2.1.6.2.78.3.........5.......4....867 #7#  1265 FNBP C32/M2.45.145   # 10
12..567...5718.2..6.87.2...........3.......9....561.2..7582....81.6.5.7...6.17... #7#  1265 FNBP C32/M2.45.145   # 10
....56.89...1.92.6....2.15...596.81...6.129.5..15.8.623.........78.9...........98 #7#  1263 FNBP C32/M2.45.145   # 10
...4.678.4..18..366...371.4.6.371.....5.......9........4.7.38.1....14.7....86..43 #7#  1263 FNBP C32/M2.45.145   # 10
...4.678.4..18..366...731.4.6.731.....5.......9........4.3.78.1....14.7....86..43 #7#  1263 FNBP C32/M2.45.145   # 10
........945....2........51.26..358..3.48.26...8564.3..54.3.8....362.....8.2.64... #7#   472 FNBP C32/M1.1.39   # 10
........945....2........51.28..356..3.46.28...6584.3..54.3.8....362.....8.2.64... #7#   472 FNBP C32/M1.1.39   # 10
....56.89...1.92.6....2.15...596.81...6.129.5..15.8.623.8........2....98.7....... #7#   463 FNBP C32/M1.1.39   # 10
....56.89...1.92.6....2.15...561.89...95.8.12..1.926.53.8........2....68.7....... #7#   463 FNBP C32/M1.1.39   # 10
12..567...5718.2..6.87.2...........3.......9....5618.2.7582....81.6.5.....6.17... #7#   463 FNBP C32/M1.1.39   # 10
1.3.56..9.571.9..669.73..........8..715...9.3.......2.3.9.65...57.3.1....61.7.... #7#   404 FNBP C32/M1.1.39   # 10
.2.45.7.9.5.7.9.23.9..3254..7.3.4...83.........1..........752.....2.39.4...94..57 #7#   397 FNBP C32/M1.1.39   # 10
12.....894.....2.6.692..14.28.....6.6.1.2...8.94....21...81.694.....7......3..... #1#   329 FNBP C30/M1.2.49   # 10
12..56....5718....8.62.7.1.........3......9..785....6257.86...16.27.1....18..5... #2#   316 FNBP C32/M1.2.53   # 10
1.3.567...571.9...69.37.......59163........2.........4.6591..7.7.1.63...9..7.5... #2#   315 FNBP C32/M1.2.53   # 10
.2..56...45......6..9.......1.6.537..7.32..51.3..716.2....6712....2.3..7...51..63 #2#   310 FNBP C33/M1.2.54   # 10
.2..567.9.5.7.9.32...23.56.2...6739....59.2.6...3.2..756.973...8..........4...... #N#   310 FNBP C33/M1.2.54   # 10
.2.45..89.5..8923..8.2.35.4...8.4.53....2549.....3.8.2.91.4....7.........3....94. #3#   310 FNBP C33/M1.2.54   # 10
.2.45..89.5..8923..8.2.35.4...8.4.53....2594.....3.8.2.91.4....7.........3....49. #3#   310 FNBP C33/M1.2.54   # 10
.2.45..89.5..8923..8.2.35.4...8.5.43....2495.....3.8.2.91.4....7.........3....49. #3#   310 FNBP C33/M1.2.54   # 10
.2.......45.189.....6.........3.4.153..51.9.85...9834..3.84..91...9.54.3....318.. #4#   304 FNBP C33/M1.2.54   # 10
1.3.56.8..5718..6.86.3.7.1......345.53.....7.........238.67....6.5.31....71..8... #4#   304 FNBP C33/M1.2.54   # 10
12345........8.........7...2.5...94.34..9.1.2.91....3.51.9..32..325...949.4...5.1 #4#   274 FNBP C33/M1.2.54   # 10
12345........8.........7...21.5..39..359...249.4...5.134..9.1.25.2...94..91....3. #4#   274 FNBP C33/M1.2.54   # 10
.2..56...45......6..9.......1.6.5.73.3..716.2.7.32.15....21...7...5.3.61....6732. #2#   304 FNBP C33/M1.2.54   # 10
.2..56...45......6..9.......7.6.1.53.1..736.2.3.52.17....21...7...3.5.61....6732. #N#   304 FNBP C33/M1.2.54   # 10
.2..56...45......6..9.........3.5.67...27...1....6132..7..136.2.1.6.7.53.3.52.17. #3#   300 FNBP C33/M1.2.54   # 10
.2..56...45......6..9.........5.3.67...27...1....6132..3..176.2.1.6.5.73.7.32.15. #3#   300 FNBP C33/M1.2.54   # 10
.2..56...45......6..8.......7.51.6.3.3.6.712..1..32.57....75.61...3.1..2...26.37. #8#   300 FNBP C33/M1.2.54   # 10     11.8
..345..89....8923...83.24.5....9.84.8..5.4.92...82.5.33.2...954.1.......7........ #8#   299 FNBP C33/M1.2.54   # 10
1.345....45..89....983........5..1.75.1...8.........2.31.9.54...85.439..9.481.3.. #8#   299 FNBP C33/M1.2.54   # 10     11.8
12..56..9.571.9..66.927....29.6.1....71.25.6.5.67.....715....92......3.........4. #8#   299 FNBP C33/M1.2.54   # 10     11.8
....56.89...1.926.....2.1.5..691.85...5.68.12..15.29.63.8.9......2....98.7....... #8#   296 FNBP C33/M1.2.54   # 10
....56.89...1.92.6....2.15...691.8.5..5.68.21..15.296.3.8.9......2....98.7....... #8#   296 FNBP C33/M1.2.54   # 10
....56.89...1.92.6....2.15...596.8.1..6.18.25..15.296.3.8.9......2....98.7....... #8#   296 FNBP C33/M1.2.54   # 10
.2.45..89.5..8923..9.3.25.4.8..43....36...4..7...........29.8......3594....8.4.52 #8#   296 FNBP C33/M1.2.54   # 10
..345..89....8923...83.25.4...9..4.33...45.92...23.85..1.......7........8.2...945 #3#   281 FNBP C33/M1.2.54   # 10
..34.678...718..36..6.371.4....64.17...8.364....71.3...98...4..5..........1.48... #3#   280 FNBP C33/M1.2.54   # 10
..345.7.9...7.913...9.13.54.37...4158.........6...........9.5.1....7439..9.5.1.47 #3#   277 FNBP C33/M1.2.54   # 10
..345.7.9...7.913...9.13.54.37...4158.........6...........9.5.1....7439..9.1.5.47 #3#   275 FNBP C33/M1.2.54   # 10

.2.45.7.9.5.7.9.23.9..3254..7.3.4...83.........1..........759.....9.3..4...24..5. #1# 95204 FNBP C30/M2.23.570   #  9      11.8
.......8.457...2.6........129.56....7.5.42.6..647......72.956..54.67.9..9.62.4... #7#  2361 FNBP C33/M2.97.67    #  9
1.3..67.9.57..9.3696...715..7....59.6.5....17.91...6.3.1..4.......8.1........53.1 #7#  2352 FNBP C33/M2.97.67    #  9
...45..8.4.......6......14.2.8.75.9..4592..7.97.8.4.2..92.48...7.459....8..2.7... #7#  2346 FNBP C33/M2.97.67    #  9
...45..8.4.......6......14.27.8.4.9..4592..7.9.8.75.2..92.48...7.459....8..2.7... #7#  2346 FNBP C33/M2.97.67    #  9
12..5.78..57.8.2.66.8....15.....4.......18672...3......81...5.776.8...21..2...86. #7#  2345 FNBP C33/M2.97.67    #  9
1.345.7..45.7.91...79.315...145.3...3.7.1....59..74.......4..2.......4.694....3.. #7#  2343 FNBP C33/M2.97.67    #  9
.2345...945.7.9..27.9.32..4...5.7..3......8.7..7....1...2.43....749.5...93.27.... #7#  2342 FNBP C33/M2.97.67    #  9
..3.567.9..67.9.32..923.56..4...........27...8.7....2....59.2.6....7239....6.3.5. #3#  1265 FNBP C32/M2.49.133   #  9
..3.567.9..67.9.32..923.56..4...........72...8.7....2....59.2.6....2739....6.3.5. #3#  1265 FNBP C32/M2.49.133   #  9
.2.45.7.9.5.7.9.23.9..3254..31...4..8...........3.4.......759.....9.32.4...24..57 #3#  1253 FNBP C32/M2.49.133   #  9
1.3.5..8945..8.13..89.3.5.4.14.9........47......6......41....5383.....9.9.5...8.1 #3#   474 FNBP C32/M1.1.39     #  9
1.3.5..8945..8.13..89.3.5.4.41.9........47......6......14....5383.....9.9.5...8.1 #3#   474 FNBP C32/M1.1.39     #  9
.2.45.7.9.5.7.9.23.9..3254..7.3.4...83.........1..........759.....9.32.4...24..57 #3#   401 FNBP C32/M1.1.39     #  9
.2345....45.7.9.3.7.9.32.4.........8......1.....927.53.72.95..45.437....9..2.4... #4#   310 FNBP C33/M1.2.54     #  9
.2..56...45......6..9.......1.6.537..3.27..51.7..316.2....6712....3.2..7...51..63 #4#   309 FNBP C33/M1.2.54     #  9
.2..56...45......6..9.......1.6.537..7.23..51.3..716.2....6712....3.2..7...51..63 #4#   309 FNBP C33/M1.2.54     #  9
1.3....8945...913..89..15.4.341...5881....4..9.5...3.1...6.....5489.3.......7.... #4#   304 FNBP C33/M1.2.54     #  9
....56.89...1.92.6....2.51...691.8.5..5.68.21..15.296.3.8.9......2....98.7....... #7#   302 FNBP C33/M1.2.54     #  9
....56.89...1.92.6....2.51...596.8.1..6.18.25..15.296.3.8.9......2....98.7....... #7#   302 FNBP C33/M1.2.54     #  9
..34.6...4.7.89...69.37...4.698.4...7.463.8..83..974..........5...7639.8.......2. #7#   302 FNBP C33/M1.2.54     #  9
.2.45..89.5..8923..9.3.25.4.8..34....36...4..7...........92.8......4395....8.5.42 #7#   302 FNBP C33/M1.2.54     #  9
.2.45..89.5..8923..9.3.25.4.8..43....36...4..7...........92.8......3594....8.4.52 #7#   302 FNBP C33/M1.2.54     #  9
12..56..9.571.9..66.927....29.6.1....15.27.6.7.65.....571....92......3.........4. #N#   305 FNBP C33/M1.2.54     #  9
12..56....5718...66.82.7..126...8....716.5...8.572..6........9.782....15......4.. #N#   303 FNBP C33/M1.2.54     #  9
1.3.56.8..5718..3.68.7.3.5..6153....7.56.8...83..7........6.91.........2.16....7. #6#   301 FNBP C33/M1.2.54     #  9
1.3.56.8..5718..3.68.7.3.5..1563....7.65.8...83..7........6.91.........2.61....7. #6#   301 FNBP C33/M1.2.54     #  9
1.3.56.8..5718..3.68.7.3.5..1653....7.56.8...83..7........6.91.........2.61....7. #6#   301 FNBP C33/M1.2.54     #  9
1.3.56.8..5718..3.68.7.3.5..6183....53..7....7.86.5.......6.91.........2.16....7. #6#   296 FNBP C33/M1.2.54     #  9
1.3.56.8..5718..3.68.7.3.5..1683....53..7....7.86.5.......6.91.........2.61....7. #6#   296 FNBP C33/M1.2.54     #  9
1.3.56.8..5718..3.68.7.3.5..1863....53..7....7.68.5.......6.91.........2.61....7. #6#   296 FNBP C33/M1.2.54     #  9

New Twin Expands
.2.45.....56......8...........94.......5.29.1....13.2..1.3.429..3.19.4.5.9..25.13 #N# 95292 FNBP C30/M2.18.364   # 10
.2.45.....56......8...........94.......5.29.1....13.2..9.3.421..3.19.4.5.1..25.93 #N# 95292 FNBP C30/M2.18.364   # 10
.2..567.9.5.7.9.32...23.56.2...6739....59.2.6...3.2..756.973...8..........4...... #N#   310 FNBP C33/M1.2.54     # 10
.2..56...45......6..9.......7.6.1.53.1..736.2.3.52.17....21...7...3.5.61....6732. #N#   304 FNBP C33/M1.2.54     # 10
12..56..9.571.9..66.927....29.6.1....15.27.6.7.65.....571....92......3.........4. #N#   305 FNBP C33/M1.2.54     #  9     
12..56....5718...66.82.7..126...8....716.5...8.572..6........9.782....15......4.. #N#   303 FNBP C33/M1.2.54     #  9



New minimal puzzles
.2.45.....56......8...........94.......5.29.1....13.2..3...429..1..9.4.5.9..2..13
.2.45.....56......8...........94.......5.29.1....13.2..1.3..29..3.19.4.5.9..25.13
.2.45.....56......8...........94.......5.29.1....13.2..1.3.429..3.19.4.5.9..2..13
.2.45.....56......8...........94.......5.29.1....13.2..9.3..2...3.19.4.5.1..25..3
.2.45.....56......8...........94.......5.29.1....13.2..9.3.42...3.19.4.5.1..2...3
.2...6..9.5.7.9.3....2..56.2...67.9....59.2.6...3.2..756.973...8..........4......
.2...67.9.5...9.3....2..56.2...67.9....59.2.6...3.2..756.973...8..........4......
.2...6..9.5.7.9.32......56.2...67.9....59.2.6...3.2..756.973...8..........4......
.2...67.9.5...9.32......56.2...67.9....59.2.6...3.2..756.973...8..........4......
.2...6..9.5.7.9.3....23.56.2...6739....59.2.6.....2..756.973...8..........4......
.2...67.9.5...9.3....23.56.2...6739....59.2.6.....2..756.973...8..........4......
.2...6..9.5.7.9.32....3.56.2...6739....59.2.6.....2..756.973...8..........4......
.2...67.9.5...9.32....3.56.2...6739....59.2.6.....2..756.973...8..........4......
.2..5....45......6..9.......1.6...7..3..71..2.7.32..5....21...7...5.3.61....6732.
.2..5....45......6..9.......1.6...73.3..71..2.7..2..5....21...7...5.3.61....6732.
.2..5....45......6..9.......1.6...7..3..71..2.7.32.15....21...7...5.3.6.....6732.
.2..5....45......6..9.......1.6...73.3..71..2.7..2.15....21...7...5.3.6.....6732.
.2..56...45......6..9.......1.6...7..3..71..2.7.32..5....21...7...5.3.61.....732.
.2..56...45......6..9.......1.6...73.3..71..2.7..2..5....21...7...5.3.61.....732.
.2..56...45......6..9.......1.6...7..3..71..2.7.32.15....21...7...5.3.6......732.
.2..56...45......6..9.......1.6...73.3..71..2.7..2.15....21...7...5.3.6......732.
.2..56...45......6..9.......1.....7..3..716.2.7.32..5....21...7...5.3.61....6732.
.2..56...45......6..9.......1.....7..3..716.2.7.32.15....21...7...5.3.6.....6732.
.2..56...45......6..9.......1.....73.3..716.2.7..2.15....21...7...5.3.6.....6732.
.2..5....45......6..9.......7.6...5..1..73..2.3.52.1.....21...7...3.5.6.....6732.
.2..5....45......6..9.......7.6...53.1..7...2.3.52.1.....21...7...3.5.6.....6732.
.2..56...45......6..9.......7.6...5..1..73..2.3.52.1.....21...7...3.5.6......732.
.2..56...45......6..9.......7.6...53.1..7...2.3.52.1.....21...7...3.5.6......732.
.2..56...45......6..9.......7.....5..1..736.2.3.52.1.....21...7...3.5.6.....6732.
.2..56...45......6..9.......7.....53.1..7.6.2.3.52.1.....21...7...3.5.6.....6732.
.2..5....45......6..9.......7.6.1.5..1..73..2.3.52..7....21...7...3.5.61....6732.
.2..5....45......6..9.......7.6.1.53.1..7...2.3.52..7....21...7...3.5.61....6732.
.2..56...45......6..9.......7.6.1.5..1..73..2.3.52..7....21...7...3.5.61.....732.
.2..56...45......6..9.......7.6.1.53.1..7...2.3.52..7....21...7...3.5.61.....732.
.2..56...45......6..9.......7...1.5..1..736.2.3.52..7....21...7...3.5.61....6732.
.2..56...45......6..9.......7...1.53.1..7.6.2.3.52..7....21...7...3.5.61....6732.

.2..5...9.571.9..66..27....29.6.1....15.2....7.65.....571....92......3.........4.
.2..5...9.571.9..66...7....29.6.1....15.27.6...65.....571....92......3.........4.
.2..56..9.571.9...6...7....29.6.1....15.27.6...65.....571....92......3.........4.
.2..5...9.571.9..66..27....29.6.1....15.27.....65.....571....92......3.........4.
.2..56..9.571.9...6..27....29.6.1....15.2..6.7.65.....571....92......3.........4.
....5.....5718...66.82.7..126...8.....16.5...8.572...........9.782....15......4..
....56....5718...6..82.7..126...8.....16.5...8.572...........9.782....15......4..
.2..5.....5718...66.8..7..126...8.....16.5...8.572...........9.782....15......4..
.2..56....5718...6..8..7..126...8.....16.5...8.572...........9.782....15......4..
..34.....4.7.89...69.37...4.6...4...7.463.8..83..9.4..........5...7639.8.......2.
.2.4...89.5..8.23..9....5.4.8..3.....36...4..7...........92.8......4395......5.42
.2.45..89.5..8.23..9......4.8..3.....36...4..7...........92.8......4395......5.42
.2.4...89.5..8.23..9....5.4.8..34....36...4..7...........92.8.......395......5.42
.2.45..89.5..8.23..9......4.8..34....36...4..7...........92.8.......395......5.42
.2.4...89.5..8.23..9....5.4.8..43....36...4..7...........92.8......3594......4.52
.2.45..89.5..8.23..9......4.8..43....36...4..7...........92.8......3594......4.52
12.....894.......6..92..14.28.......6.1.2...8.94....21...81.694.....7......3.....
12.....894.....2.6..92..14.28.......6.1.2...8.94.....1...81.694.....7......3.....
.2..5....45......6..9.......1.6..3...7..2..5..3..716.2....6712....2.3..7...5...6.
.2..5....45......6..9.......1.6...7..7.32..5..3..716.2....6712....2.3..7...5...63
....56.89...1.9..6....2.51...691...5..5.68.21..1..29..3.8.9......2....98.7.......
....56.89...1.9..6....2.51...59.......6.18.2...15.296.3.8.9......2....98.7.......
....56.89...1.9..6....2.51...596......6.18.2...15.29..3.8.9......2....98.7.......


[coloin]

Similarly the last batch of 9s and 10s, two were new in the previous lot

Hidden Text: Show

Code: Select all

..34.6...4...89....8937.4...94.37.6.3.69.8.4.87.64........9367.......1..........2 #2 #2594 FNBP C31/M2.20.328#10#
..34.6...4...89....8937.4...96.37.4.3.49.8.6.87.64........9367.......1..........2 #2 #2594 FNBP C31/M2.20.328#10#
                                                                                                                 
.234.6.8.4.678..3.78..32.6........71......9......47.2.34..6......23.8...6.8.74... #8 #3527 FNBP C31/M2.24.273#10#
.234.6.8.4.678..3.78..32.6........71......9......74.2.34..6......23.8...6.8.47... #8 #3527 FNBP C31/M2.24.273#10#
.2345....45...9...6.9.23...24.59..6.3.5.62.9..963.....532...64.........1......8.. #8 #3521 FNBP C31/M2.24.273#10#
1..4.678.4..18..366...371.4.9.......7..3.8...8.5..........41..7...6..34....8.3.61 #8 #3527 FNBP C31/M2.24.273#10#
1..4.678.4..18..366...371.4.9.......7..8.3...8.5..........41..7...6..34....3.8.61 #8 #3527 FNBP C31/M2.24.273#10#
1..4.678.4..18..366...374.1.9.......7..3.8...8.5..........14..7...6..31....8.3.64 #8 #3527 FNBP C31/M2.24.273#10#
1..4.678.4..18..366...374.1.9.......7..8.3...8.5..........14..7...6..31....3.8.64 #8 #3527 FNBP C31/M2.24.273#10#
12..5.7.9.57.....66.9.7.51.29.....5..16...9.27.5...16......4......3.....961.27... #8 #3521 FNBP C31/M2.24.273#10#
                                                                                                                 
.....6...4571........3.....2.1...49..45.1..7297..2.5.1.12....4759.....2.7.42..9.5 #8 #1614 FNBP C32/M2.45.145#10#
1.3.....9...1.9....8.......2..69.5.75..7.261.7...15.92...9.1.75....6792....52...6 #8 #1614 FNBP C32/M2.45.145#10#
1.3..67.9.57..9.3669....51....8.....3759.........2....53.6..1.77.1....6..69....53 #8 #1610 FNBP C32/M2.45.145#10#
12.4..78.4.71..2.6.68....1428....14..4....6.77.6..4.28.....1872....3.........5... #8 #1614 FNBP C32/M2.45.145#10#
.2.45..89.5..8912..9.1.24.5.....895....91.8.2...2.5.14.......416.........47..1... #8N#1610 FNBP C32/M2.45.145#10#
.2.45..89.5..8912..9.1.24.5.....895....91.8.2...2.5.41.......146.........47..1... #8N#1610 FNBP C32/M2.45.145#10#
1.3.....9...1.9....8.......2...15.975..7.261.7..69.5.2...9.1.75....6792....52...6 #8N#1614 FNBP C32/M2.45.145#10#
...45.78.....8.2.38..3.2.45.7.84.53.....25.78.8.7.34.2..1......7.....3549........ #8N#1610 FNBP C32/M2.45.145#10#
                                                                                                                 
.2..56...45......6..9.......3..6715..7.3.16.2.1.52..73....15.67...2.3..1...67.32. #8 #1209 FNBP C33/M2.72.91 # 9#
.23.5.78.45..8..237.8.3.4.52.5....3438....2.7..7...85......1.......7..42..294.... #8 #1209 FNBP C33/M2.72.91 # 9#
.234.6...4.678...278..23..623..68....4837.6..6.7..4.........9..874...2.3.......1. #8 #1209 FNBP C33/M2.72.91 # 9#
.2345.7..45.7.9...7.9.325..2.79......4537....93..24.7.392...45........1.........6 #8 #1202 FNBP C33/M2.72.91 # 9#
.2345.7..45.7.9...7.9.325..2.79.....39..24.7..4537...........1.........6932...45. #8 #1202 FNBP C33/M2.72.91 # 9#
12.4.6.8.4.6.89.2..8912..6.2.89.1....1.86....96..42.......94.1.........7.9....34. #8 #1202 FNBP C33/M2.72.91 # 9#
1.345...945..89..3.891.3..5..13.5...8.5.94...93.81......8...2.4.......7.....48..1 #8 #1202 FNBP C33/M2.72.91 # 9#
12...67.9.57..926.6.9..2.5127....9...16....729.5...61.5.1..7......8.........351.. #8 #1202 FNBP C33/M2.72.91 # 9#
                                                                                                                 
........945.....36.69...14......8.93...29..1.59..4....63..1.95..15.3..649.4.6.3.1 #6 # 419 FNBP C33/M2.125.52# 9#
..34.6...4.7.89.3686.37...4..869....7.6.439..9..8.76.........1....73486.........5 #6 # 418 FNBP C33/M2.125.52# 9#
..34.6...4.7.89.3686.73...4..869....7.6.439..9..8.76.........1....37486.........5 #6 # 418 FNBP C33/M2.125.52# 9#
1.3..67.9.57..9.3669...715..1........76...5.39.5....17.61.4......98.1........53.1 #6 # 429 FNBP C33/M2.125.52# 9#
1.3.567...57.8....68...75..........4361...8.5.......2.51..3....7.8.61.53.365.8.1. #6 # 419 FNBP C33/M2.125.52# 9#
1.345.7..45.7.91...79.315...145.3...39..17.......4........74.2......54.694....3.. #6 # 419 FNBP C33/M2.125.52# 9#
                                                                                                                 
New Minimals                                                                                                     
.2.4...8..5..891...9...2..5.....895.....1.8.2...2.5..4.......416.........47..1...#10#                           
.2.45..8..5..891...9...2........895.....1.8.2...2.5..4.......416.........47..1...#10#                           
.2.4...89.5..8.1...9...2..5.....895....91.8.2...2.5..4.......416.........47..1...#10#                           
.2.45..89.5..8.1...9...2........895....91.8.2...2.5..4.......416.........47..1...#10#                           
.2.4...8..5..891...9.1.2..5.....895....91.8.2...2.5..4.......416.........47......#10#                           
.2.4...89.5..8.1...9.1.2..5.....895....91.8.2...2.5..4.......416.........47......#10#                           
.2.45..8..5..891...9.1.2........895....91.8.2...2.5..4.......416.........47......#10#                           
.2.45..89.5..8.1...9.1.2........895....91.8.2...2.5..4.......416.........47......#10#                           
.2.4...8..5..891...9...2..5.....895.....1.8.2...2.5.41.......146.........47..1...#10#                           
.2.45..8..5..891...9...2........895.....1.8.2...2.5.41.......146.........47..1...#10#                           
.2.4...89.5..8.1...9...2..5.....895....91.8.2...2.5.41.......146.........47..1...#10#                           
.2.45..89.5..8.1...9...2........895....91.8.2...2.5.41.......146.........47..1...#10#                           
.2.4...8..5..891...9.1.2..5.....895....91.8.2...2.5.41.......146.........47......#10#                           
.2.4...89.5..8.1...9.1.2..5.....895....91.8.2...2.5.41.......146.........47......#10#                           
.2.45..8..5..891...9.1.2........895....91.8.2...2.5.41.......146.........47......#10#                           
.2.45..89.5..8.1...9.1.2........895....91.8.2...2.5.41.......146.........47......#10#                           
1.3.....9...1.9....8.......2.......75..7..61.7..69.5.2.....1.75....679.....52...6#10#                           
1.3.........1.9....8.......2......975..7..61.7..69.5.2.....1.75....6792....52...6#10#                           
1.3.........1.9....8.......2......975..7.261.7..69.5.......1.75....6792....52...6#10#                           
1.3.....9...1.9....8.......2.......75..7.261.7..69.5.......1.75....6792....52...6#10#                           
...4..7......8.2.38..3.2.45.7.84........25..8.8.7.34.2..1......7.....3549........#10#                           
...45.7......8.2.38..3.2.4..7.84.5......25..8.8.7.34.2..1......7.....3549........#10#                           
...45.78.....8.2.3...3.2.4..7.84.5......25..8.8.7.34.2..1......7.....3549........#10#                           
...45.78.....8.2.3...3.2.45.7.84........25..8.8.7.34.2..1......7.....3549........#10#                           
.2..56...45.........9.......3...7.5..7.3.16.2.1..2..7.....15.67...2.3..1...67.3..# 9#                           
.2..56...45.........9.......3...715..7.3..6.2.1..2..7.....15.67...2.3..1...67.3..# 9#                           
.2..56...45.........9.......3..67.5..7.3.16.2.1..2..7.....15.67...2.3..1....7.3..# 9#                           
.2..56...45.........9.......3..6715..7.3..6.2.1..2..7.....15.67...2.3..1....7.3..# 9#                           
..3..6...4.7..9.368...7......86.....7.6.439..9..8.7..........1....7348..........5# 9#                           
..3..6...4.7.89..68..37......86.....7.6.439..9..8.7..........1....7348..........5# 9#                           
..3..6...4.7..9.368..7.......86.....7.6.439..9..8.7..........1....3748..........5# 9#                           
..3..6...4.7.89..68..7.......86.....7.6.439..9..8.7..........1....3748..........5# 9#                           
..34.6...4.7..9.368..........86.....7.6.439..9..8.7..........1....3748..........5# 9#                           
..34.6...4.7.89..68..........86.....7.6.439..9..8.7..........1....3748..........5# 9#                           
1.3.567...5..8....68...7...........4361...8.........2.5...3....7...61.53..6..8...# 9#                           
1.3.567...5..8....68...7...........4361...8.........2.5...3....7.8.61.5..36..8...# 9#                           


[denis_berthier]

.
Hi coloin

It seems you're keeping an up-to-date list of all the high BxB minimals published in this thread. Could you publish it?
The success of the search for such puzzles makes it difficult to be sure we're not missing any, unless we each repeat the same redundant work of collecting them.
.

[Paquita]

Denis, an explanation of what I did

First, I identified the minexpands for the T&E(2) rated 11.8 in solution minlex form
I collected them and also the minimals from them that had not been published yet.
That was the original seed.
I have 2 basic routines
-swap any of the 81 positions for another digit value (. counts as zero)
-swap any two digits in the 81 positions (. counts as zero)

After applying those two routines on the new minimals I had some new 11.8.
(I published the unpublished 11.8 in the "hardest" thread).
Just a few of those new 11.8 were B10B.
After I published those, Coloin identified more related B10Bs that were 11.7.

The next seed sample was those B10B's. I continued to use found B10Bs as seed.
I did the swap routines on the minimal puzzles.
And I did an expansion other than min-expands.

The method is based on Coloins explanation of pearlisation:
For any puzzle, calculate the solution.
For each digit of the solution that is not a given, create a puzzle that is the original puzzle plus this one digit
Then calculate the rate of that new puzzle with skfr.
If the rate is above 11.5 it means that adding that solution digit will keep the rate high
So, the extended puzzle is the original puzzle plus all the digits added at once that gave a high rate if added solely.
This is usually a more expanded puzzle than the min-expand or the pearlisation maxi-expand.
From this expand I calculate the minimals.


By alternating swap routines with this expansion i got a new result of high BxBs.
That result was the new seed.
It ended when the swapping and expansion only gave already found puzzles.

[denis_berthier]

.
Hi Paquita,
Thanks for these explanations.

the extended puzzle is the original puzzle plus all the digits added at once that gave a high rate if added solely.
This is usually a more expanded puzzle than the min-expand or the pearlisation maxi-expand.

In [HCCS2], I used BRT+1 expansion, i.e., like you, expansion by Singles followed by the addition of a clue from the solution. I noticed this leads to many new minimals (most of them simpler than the starting puzzles). Due in part to these large numbers and in part because my purpose was not to generate puzzles per se, unlike you, I didn't iterate this expansion process.
With the skfr (= SER) filter, you can limit the number of expanded puzzles and this allows you to combine two or more expansions before looking for new minimals. Great job.
.

[Paquita]

I forgot to say that I calculate minimals from the expanded puzzles through the inverse, the way that Coloin showed to do it.