85 Gattai DOAG
Daddy Of All Gattai.
Ruud's challenge about the biggest kind of Gattai in 2007: 85 overlapping Sukoku's, that inspired me some years ago to solve these kind of puzzles, by hand.
His 85-Gattai with vanilla Sudoku's can be solved with naked/hidden singles and pointing/claiming.
#85//B4/N4/Z4/AL4/AX4/BJ4/BV4/H16/T16/AF16/AR16/BD16/BP16/B28/N28/Z28/AL28/AX28/BJ28/BV28/H40/T40/AF40/AR40/BD40/BP40/B52/N52/Z52/AL52/AX52/BJ52/BV52/H64/T64/AF64/AR64/BD64/BP64/B76/N76/Z76/AL76/AX76/BJ76/BV76/H88/T88/AF88/AR88/BD88/BP88/B100/N100/Z100/AL100/AX100/BJ100/BV100/H112/T112/AF112/AR112/BD112/BP112/B124/N124/Z124/AL124/AX124/BJ124/BV124/H136/T136/AF136/AR136/BD136/BP136/B148/N148/Z148/AL148/AX148/BJ148/BV1482.1..75...6.1..28.9....2.17.2.43...6...6.9...6.9.5....85........12........35........423.1.4.8..5.....218.....2..619...5.8..4..8.65...3......8................1........3..926....9....93...54.38.251.7...17....826.....5....5.........1.........7.....48531..37..9..28..9...5....2.3.9...4..2..3.9..6.1..4............3.5............84..1.......4....8.56...13..9.861.535....36...3.....21.....7.......4.......2......6.254......3..5.6....763....541..9...1..3.2..2...56.7...5..................4......83..5.9.39..5.4.74.2....33...61.7....7.8.......2.4.5.......92......85......97................9................4..3....8236...3..76.25....9.......2.5........8...............3........2.....3.....9..76..253...85..7......6.1......5.3........................1........3.....6....19...5...8..3.3756........2.......8.........15.................2........7.....57....81..2...7.....4613.....6.........4......37..................8........1.....1.....8..482..91...4..32....2.4......1.3........................6...............2..4......6932...84.71..5.....5.......8.9......3......7...8......53.....23..7...1.2.59...5.68....239.1..5.....29....9....6...............4........2..............56..9..8....87.9.......23.1....58......7..........3......6.................1......6...5..2...9.8...87.4.1.3.......................1................7.8......5.1......876.....32.48......5.........................3.2........2.................6...5..7...3....6.4....7.5.9.61......................4.........7........2.............3..4..57..9.75...8.76........78.........3......4........7...9.....39......2..54....95.1.75....28.9..3..1.52....23......8....4............18........45........6....36...45.....5........1283....42.........................3.........4.......15....2.1.6.8...368.............3...2...................4........5......8.........49...9.3..1....8..346....179.2...............6................1..........5......29.......8..6.3..497..1...6.524...............6..................8.......3........64.....4.5.6.7.....194.7.............6...............9.........39......24.......7......93...57.....7.....8762........82......................7.8.4.....35.9.....8.1.......24.6..4..6...9..6.1....7..1......6.47.1...2...3.........8......5.6............7.1.92...........6...745.................1......9...................................6287.3...3...6....4....5...9.........1.......7.4.......4........2.......5.1....1.9.2.6.2.......9..76851........................................................2.6341....7...2...3....6........5.......3.......7.8......3........1.6...............63.9.73...........952...............2..........5......6.7.3....5.31......4.5....4.32....1...6..58....4.1.......9.....7.18.3....6...1...2.........54........7....81..2.6......52.1...89...4...9..................2.......2.........8.......9.4....2...8.....9.26.8.7.613........47.........................3.........9......5.7.....137....5..29..8..96..4................6.................4.......9........1.8.......348...9..85..2...6..53..............2..................5.......1.......4.6......7...2..7.58.1......417.3...65...........................9......42.......1......2.9..83.1.38.....8...37........2................6.....7...9....8..4....6.42.....9....8.7.76.43....1....2.4.3.79......2..1.....1...5.........................2.....8126...3...9.3....3478...6....7..........................6.......1..........4.....47.8...52...3.....16.5........1......4.........7................725......6.8....92...46..7.....9..54...23....8.9......162................5.........7......6........5.67.....2...64...4.85.....1..........2.......6..........................1....9...6754....9.5...8...3172.....9.........................3...8.....5..6......75.3.6.5....8....46.21.9.7....5.....53.6....7..1....8...5.....3................1........81...6.....57.1.91..6.3......3.......41......9...........................39...1.534......6.91.7..9...6......7.2.......5.......9..................6..............12..9...3..71..6...762.......8.2........6.......4.................9................9..76..6..17..4....653.....6.1......3.........8.........................57........527.4.2.43.9.....8...2....6.5.......1.........8.......3..................9...6...93...3.17......7.4..12....8........37.........2...5...3....9.42.8.....6.......5.3....16..4...2....72.6....5.7......95.3....3.8.4......5..........4...............619...........99.3.57...............3.5........8......8.9.......1.......5........2....7...9...8....4632.5........................................................16459..4.......5.5.7.1.6....8.7.......6........1.......7.9.......1.........8...7....5....6...7...8.1643...................................8......1.................839...6...........46.2.1............9.5......3.........6...9...5.76.1......7..5....2.8..7...9..6..1.56.......4.2.....8.59.....6.3.1......................64........2186.....3.....85...31......7.......62......18.........5...............1.............8.143.....7.9.2.3.....86........5.......2..................5...............356.7...8..316..6.5..7.......24......3..........5................5...............1.657....539..4....1..5.6...93.........1......5........6...................7...8.............453...2.3.6.4....72.......9.........6.........................43....5163........5.....36...51....5........28........14............3....2......81....72.3..9..6.85....29.5.28....92..6......28.....7...5........9......5.........62........68.4...84.2..84..3..9.............4........6.........5......................52.3.1.7....6.2....8...7..2...7.................8........4.8.........................9......97.53.....643......3.7......8.6................7.......................5.3.6.94...8.4...9..1...6......3.................1......5..........1......24....7.46.......8.17....2..3..41..............2........4...............6....8....83.....6..9.251....46.3...36.4.1...2..38.....16......9...1......9......2.7.......1.....4..32.69...1965......4..3...............1........................1.5......7.4....54..6...37..928..8.....4.....2........3..................41......3.........8.....4716.....3...8..69....32.....8........6.................25.........6.......4........3148.7..4...3...47....2.....4........7........................2.9......1.8......9..67...762..93..8.....5.....3........2...............6........7.4.......1....83.56..7...2971....9..3................3................58......64......91.......1.2.7.......1.4....8.23...78....1.35.9.4..78.3.7..54......6..................3...8.54...3..9.3..1...3..826....265....5.6..7......218.5......3.......5.......8.....41.....8...34....667.298.4..27...69.3....4.......1..35............6.7............2..7.3..6.8..9..7...4.6.5....3...2..46..1..39..23741.....1.........9.........7....1.....869....57...3.478.92.45...91....5....818..4........2................5......7...16.5..5..7.3...326..4.....123.....3..1.4.4.758........16........48........17....9.7.8...7.8...5...14.2.42.9....1.69..2.5...71..2.9
All puzzles below are similar 85-Gattai's. There is a way of solving to use Singles Only (no special methods needed).
So the SE rating is 1.5 at most. But that is a very very very subjective rating.
All are symmetrical up/down and left/right. That should things make a bit easier. But it is not.
A DOAG contains a total of 5589 cells.
Puzzle 1: All Windoku's and 4747 cells to solve. Do not start in the NorthWest but rather in the South.
Puzzle 2: All SudokuX's and 4639 cells to solve.
Puzzle 3: All Clovers (=Windoku+Asterisk) and 4949 cells to solve.
Have a nice Xmax holiday 2019....
Images (JPG) are bigger than they appear. Download the image and then print it.
Puzzle #1Â All Windoku's
In code:#85/W/B4/N4/Z4/AL4/AX4/BJ4/BV4/H16/T16/AF16/AR16/BD16/BP16/B28/N28/Z28/AL28/AX28/BJ28/BV28/H40/T40/AF40/AR40/BD40/BP40/B52/N52/Z52/AL52/AX52/BJ52/BV52/H64/T64/AF64/AR64/BD64/BP64/B76/N76/Z76/AL76/AX76/BJ76/BV76/H88/T88/AF88/AR88/BD88/BP88/B100/N100/Z100/AL100/AX100/BJ100/BV100/H112/T112/AF112/AR112/BD112/BP112/B124/N124/Z124/AL124/AX124/BJ124/BV124/H136/T136/AF136/AR136/BD136/BP136/B148/N148/Z148/AL148/AX148/BJ148/BV148.............3...2...4..31.47.8...9....3...4.9.8.24.3..4.........2......1............7......6.38..71..4..3.....3...........5.3..9.24........................1..........61.461.8.......3......2.......5.8.6........4..8.......................................3.....5.48.....71...........5.3.1......................................1.56..........5.63......9..6.......4.....1.9...7..9..................................3....5..91.8....4..6..2.....2...1.5.........16.5.........................9............4...2.....15..8....4...9.76.7...4....5.31.8.9.......6.......9..........7.....................3.....4............53.9.....4.......2...................8......3............................6.......1....7..48...9.......................1.................4..................2..2..8....6......7......6..................................3................1......6....7..8..5..........9...........................2........................6.........3....9...17..3.....................9............................9...........6.9.85........6.........2...............4........6.....27...........8......8..3.6.61.8.......7..6..3.........7.........9..........1.................2.....9.......5.....7...........3...3.1..........................2.........................8.............7.3....8......7...............6.....................................................763.................................2...........................2..............8....7.4...5...................3........2.................8...1.......2...2.....2...........7.6..........................3..........95....4.....6.3..5.......8.761..7..2...................4.......5....15.................2......4.....5..3......2.....6...............7....................................9....6..1........8......3..6...................................................3..........3....5..7....3......................6......7............................4......2.........1..4.........6............7..........3........................6.........4..2.....9.......2..1.................................97................3....2.....3........4....5.....8.............2.............48................1..5.......84...6...592..1..............6....7.9..4.....1..3................3.......6........1.5.......87..2..7...................7.........6..........................5.....8...........3......786........................5.4.......2.......1.5.........................4..................................8.4........................4...........9.....2........159........................8.5................5.........3......5.9...9..73..........3...............4.......9............51..............4..3.3...52...5..423...............9.......5..9.8...4..1......3..........................96............926.18..................................5.................4....2................1......89..............9.......3...................1......4..................4..2....16.......8.........9.........5...............6..........8.............1..8........69........6.......5.......9.........6.................3............64.........62...................1.........8.......5.........................63................98.751............................6...7...8..65......9..3.............2.7................7..6...1..53.....9...1....................................9......9..........1..................................6........................3......3.6........8............................7................................3.1.2...6.....3...4.7.9................................9............................8........9.8......6........................6..................................7..........5......1....................................7...2.....18..7...5..6................4.7.............3..4......41..6...9...5............................541.39................84.........................5.......6.........3...................15.........49............6.................2.........1.......5.......6........34........1..2.............5..........4...............8.........9.........4.......49....7..6..................8......9...................3.......9..............48......3................4....3.................7..................................21.935............34..........................9......1..7...4.7..6.......2...............589..4...31...6.3..7..............27............2.......8...............6..........18..4...5.7......4.........6................4.9........................276........4.....7...........7........................3.6..................................2.........................8.4.......3.......3.6........................724......8...........7.....2..........................8.........6...................5..1..97.......3.8........6.......8................1..5.....9..7.8....2..............2..198...6...49.......6..4................79.............5.............1.....9....4........3.....4....1................32.................................2..5.......6.....6..1.........9........................7..........3............8.........3..8.........2......3............................9......8......................5....8..4....1..........8...................................................3..2......2........5..3....7....................................3...............1.....5......3..5.....6......1.................75....7.......5...................9..1..475.8.......1..3.5.....1....29..........9..........................8.5...........9.....4...3.......2...1.................7........5...................7...9.4....6..............8...........................4.................................475.....................................................9...............6......4....2.8.............9.........................3..........................4.7...9...........6.....8.......7.....4.................5..........6.........4.........2..4..5.......1.38.3.7..9......9...........13.....7........3...............6.........6........82.7.2...........8............................2.....................7..24...1....3.........5........................4...........................8..........5..8..6....2......8................2..................................7......9......7....8..1..1..................8.................3.......................2...57..3....3.......8............................6......1...................7.......4.....7.89............8.....5.....................5..........9.......7.......7.4.29.3....8...6.85.4...9....1..57.....5...3............1.........................1.73.........8.1...8.....7..3..9....2.15..8....2..................................6..8...7.8.....2.......9..1......89.2..........93.1......................................6.8.7...........54.....92.9.....7.......................................4..2........4.2.1.......4......4.......1.972.69..........2........................46.8..9.2...........9.....4..6..83..74.1......2............3......8.........1..8.21.6.9.1...9....9...7.41.43..6...5...9.............
With Pencil Marks:
Puzzle 2: All SudokuX's
In code:
#85/X/B4/N4/Z4/AL4/AX4/BJ4/BV4/H16/T16/AF16/AR16/BD16/BP16/B28/N28/Z28/AL28/AX28/BJ28/BV28/H40/T40/AF40/AR40/BD40/BP40/B52/N52/Z52/AL52/AX52/BJ52/BV52/H64/T64/AF64/AR64/BD64/BP64/B76/N76/Z76/AL76/AX76/BJ76/BV76/H88/T88/AF88/AR88/BD88/BP88/B100/N100/Z100/AL100/AX100/BJ100/BV100/H112/T112/AF112/AR112/BD112/BP112/B124/N124/Z124/AL124/AX124/BJ124/BV124/H136/T136/AF136/AR136/BD136/BP136/B148/N148/Z148/AL148/AX148/BJ148/BV148..1...58.5.................9...5..72.7.28...1..6.7.....8..4......3..7...24........5...7....7.....8.9...5............8..7.26.1.6...8..2.....7..................9.......8......8...97....1.2..8..2...5.7......2.1.7..........2.........4...............4.3.6......2.....9.....5...................9.2...7.4.............6.......3.8.......5.....48...1..9..8.4...8.4...7..5.7.............4......9.......6................7...3..2.....6.....6...14.........1.59.4...8..1...5....8................3......38...9..........8.........46..2...15...41.8.....5.2......6..4....1..5.........16..............1................4..........2........49......2......7.4......3.8.......5.........3........8.............3.....1...5.8..................................6.........9..............3.....8..47.............................2.......3.........5.......6..............5.....2.......56......................1.........4........4.......5........6...............7.....4.....5.7.........................................5..................3......5.......93.........6........9.8......1.3......3.9................7....7......6..84..3...1.2.....3...93..................8........8......................9...58...5.......4....................1........3........5........87.......1.........6..........7.....7.5..9...6..........9...............8.3.......2..............8.....2..........2.......6................................2.......16........5.......5......2......3..1.4........1......5.................5.........................42...8........7.........6..............9........4......9.3................2.....5......8...4..65.8.....3.1....68...............5.................................5...3.....1......2....6........2......9..................2........................7.86.......1....81..........17.........2.......4........9..............................521.........3.........91.........7........2.......6......................2...............12......5......37......9........8.........5.........................73.6......2...........28....83......2.........6..................................9...6.......2.....5....7...2..........5..............8........2......6....9.........5..5.....98...3......4.7.5.............9....7.......3.......5.9...............9.....9.37......1.............................9........91......3...............5...7...6......2.8....5..7.....................1...........................6.........................493......7.5........................32.........1...............8...5..6......35..2....8.......................6.......1.......6.9.................4........61.5.......4.......................4..........7........4.....1....5..6.......25.....8......9......5.1.6............6....9.............1...............2.......9.54....54...67.1.....8........9.................8.........................6...3...5......5......2............6.........9.......1..................9.........4..1....1.386.1283.5.....9..........1......3..........9................8....7..6.....415.3......3.2541......1......8..........3......7.......................3...7.........6...6......3...............4.......1.................1...................7......83.4.6.92...85...8........1.......................6..3......1.74.....6.........5.......3........8.21....3..4...................2........5.............8......1.2........3......4..............1........4......78.........4..............7...4..6..........5...9................3......57........6........4.................9.....7.....3.....8.................5........2........69......1................2...5..........8..5...1..............6.........13......8........6..............6......5........3.8......9.............3........2...................1..4....65.3........8.......3.........1.....17.9......6..7.......................3........9...41...63.5.6.31......2...................2.................8.......1...............1......5...4.........7...3.......................4......4..........9......5......2863.1......9.652.....7..8....2................8..........6......5..........9.....9.7286.631.4....2..9.........8..................4.......9.........3............6......8......9...9...1.........................9.................3........1.....9.54...21....65.3.......9...............1.............7....1............4.8.6......6......8.....91.......6..5....7.....4........7..........8.......................1.......4.38........2.................1.7.......5.......9.......................8....6..56......3..5...3...............6.........47........................7.4......978.........................2...........................8.....................4..5....6.5......1...7...2...............7......69........9.............................4......91.5.....2...............1.8.......7.......3....1.............4.7.2......2...83.....9..4.........8....4......5........8..............1..........3...8....4.....1.......4...7..................................7.........2......81....74...........5......3.47.........................8.........2........1......94......2......19...............3......................2.......1........2.........63.........2.........594..............................3........3.......6.........47..........81....5.......38.7........................7..................5......6........2....4......1.....9...2.................................3...............59....6.2.....9.39..6...1......6.....2................6.7......6........3..............9.........2........6...93.........................8.................7......9........6.4..5......2......1.......7........89.......4................................7.......5..........9.....1..............5.......6.2...............7..........9...2..1.5.....9..........9.........1.......54........3........7........9....................5.......3...39...2......................6........3..................62...2.....9.8...2..34..7......5....2................9.6......2.7......3.5........6.........67.......9......8..................9.........................................6.9.....2.....4...............6........5.......1........7.........6......................95.......4.....1..............6.......9.........2.......9.............................79..6.....1..............1.........6..................................4.7...4.....1.............2........1.........5.......5.7......3.4......8......85........9..........9................9..............15.........9..5....8..6......4.1.....9.75...26...2..79.........5..........8...45......4................1....7...9..5...1.47.2.........32...5.....7.....9..3...6................1.......7......8.............8.5..6...2.3...5.4..2..3...65.....3.......7.1.......2.............6.7...2.1...................2.....3.....6......6.9.8...............1.........6..........2.5.8......7.3...6..4..3.7....65...7......8.......7..................1.....6..7...5.2.56.1..8............8...7.5.....8....1...6........43...2..5......3..6.....4.1..7...51.9.41..2...5.................9.95...3..
With Pencil Marks:
Puzzle #3: All Clovers (=Windoku+Asterisk)
In code:
#85/WA/B4/N4/Z4/AL4/AX4/BJ4/BV4/H16/T16/AF16/AR16/BD16/BP16/B28/N28/Z28/AL28/AX28/BJ28/BV28/H40/T40/AF40/AR40/BD40/BP40/B52/N52/Z52/AL52/AX52/BJ52/BV52/H64/T64/AF64/AR64/BD64/BP64/B76/N76/Z76/AL76/AX76/BJ76/BV76/H88/T88/AF88/AR88/BD88/BP88/B100/N100/Z100/AL100/AX100/BJ100/BV100/H112/T112/AF112/AR112/BD112/BP112/B124/N124/Z124/AL124/AX124/BJ124/BV124/H136/T136/AF136/AR136/BD136/BP136/B148/N148/Z148/AL148/AX148/BJ148/BV148....4...8.........8..6....15....9..4..9...2..........9.1..8..............7.4.................36...........4.54..8.6.....1..4.........1..................................2.....7.134..........1...8............4.....5.........................3.......2.6.......4.......7.9....2.....6...........7.6.1.4..............................4.......168.7................5...69...........9...........................8.................82....4.........6.2..39..7..3....2..................................8...3.............5....6..29..7....3..3...2..6............5..2...............4.3........................7...7.3............6......8...........................5........2.......9.......5...........4...1...........7.........................7........9..........4........2......2..........3............................................3......9........8..........1......2............................................9.........4.........7.....3.............9.....8...........................3........................3...........8.9..9..........9.........................4........4.3............6.........3..........1.....9....6...8...1......2...........................6........4...........1...........85...1..........................4......8........................................225......8........................8...............6.............8.......4.............3....................................2..............................4........6......43....................7....................8........4.....2..................6...89.....................8........1.8....................3.......6......6......2....8....7...9......7..............3...................7..................3.787.....................6......7................................2...54......1.9...8.............................9........4..............8...........9.7..4......1...........................................5....................71..6.2.....7........................................................................49...6...3.7...........3.......................6........6...............5..............1.3.............43............4..........2....3..........3.....6.........2........4.8..............35.1...................3...............9.........7..............4......51....4........................5........64............................8..3..4.....6...............................4..........................................2.4................9..........................37.......................5...........6..4........1.....................9...................2.......9.............6......7....9....3.......................6..........9......9...........3.......7......4.5...............8.36............2.................5.......................4.2....8........9....9......................................................93......51..3......7........................1..........3.................2....................5...18.3..............4.................2.................4..............2..........4.52.................7..........................................72.....7..65......4............................7.................3......................2....3.6.3............6.......................2.......4...7...............9........7.5.3....3...............8...6.....1...................................9.................2....................................2........................2....6.....9.7....1....8.......................8....................................3.................4....................................7.......................3....1....9.2.....8....4........................5....................................3.................4...................................5.....9...8...............9....7.2.4........7...............4...5.......2.......................4............1.6.3....4......................9.................4............................1......57..6.....84..........................................7.................38.6..........4..............3.................8.................6..............8.92...9....................8.................9..........6........................9......3..15......46......................................................9....8........2....1.8.......................3.................3............58.6...............7.3......1.......7...........5......6..........9.......................3....5....2......3.............8.......2...................8.....................7........8..7...........8.......................86..........................8................3.2..........................................6...............................4.....9..5..8............................27........9........................2....67......2..............2.........4...............6...................8.94..............7.6........2.........5.....5..........3....4..........7............65.............7.9..............3...............9........6.......................9...........8.7...8...93........................................................................4.....8.7..51....................4...........................................6......4..8.2...........8..............6........2.............................1...5.1......29...3................................5......9.....................636.9..................4...................9..............2......3...2....9....6......9......3.......6....................6.8........2.....................84...3..................3.....4........3....................1....................68......4........6..............................1....................................2.............4.......1.............9...............8........................1......233........................................6......8..........................9...35...........2...........4........8...........................3......5...4...3....9.....5..........3.........3............4.3........5.........................2..........8..6.5...........2........................7...........................2.....4.............7.....9.........1.........3............................................2......9..........9........5......4............................................8..........4......7........5..........6........7.........................8...........4...3...........9.......3.......8........3...........................1......5............1.9...8........................7.5...............1..6............9..8...3..4....5..23..6....1.............5...3..................................9....1..8..38..4.1.........8....68.................7...........................6...........92...9................5.819.......2..............................2.1.4.7...........9.....3....3.2.......4.......5.9.......7.........................7.....8............9...7..........762.4.....2..................................4.........5..3.....3.9..52.5...........48.................1.9..............2..4.1..........7...3..5..6....24....9..7.........3...1....With 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