## How many 1-clue-box and 2-clue-box?

Everything about Sudoku that doesn't fit in one of the other sections

### Re: How many 1-clue-box and 2-clue-box?

Hi, people!
I didn't systematically study patterns with 4 empty boxes, so I don't know minimal number of clues for such patterns. It's very likely the minimal number of clues is 20. coloin years ago searched for 9plus12 puzzles. He found 152 such puzzles (with filled central box). It's very hard to find 9plus12 puzzles, so it looks like minimal number of clues in 8 boxes is 12. I checked those 152 puzzles for number of empty boxes. 12 of them have 2 empty boxes, 83 of them have 1 empty box, the rest (57) have no empty boxes. No 9plus12 puzzles (central box is filled) with 4 empty boxes were found. I think, the minimal number of clues in 8 boxes when 4 boxes are empty - is not less than 13.

Serg
Serg
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Posts: 854
Joined: 01 June 2010
Location: Russia

### Re: How many 1-clue-box and 2-clue-box?

Yes Serg 9plus12game - those 152 box9plus12s must be close to the total - but as ever no way of knowing !

blue wrote:Big guns ?

Yes in the interim - I have fired off a barrage !
Its no proof but a non minimal 20C has not appeared

Its also hard to know how big the search space is as the 9plus13 puzzles are isolated in small groups though more often singularly at the -3+3 level
Its easy enough to remove the clues from the 4 boxes - but at present am unable to limit return to the 4 boxes

So - I found 114 9plus13s - [ with x9 = 1036 8plus13s, ands only 138 7plus13s - which were all minimal] - this could well be approaching the total.

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`......123......456......789....12......8.5....47.......3.76.....1.......25...3.........123......456......789....12.....3..8....64........943....1...6....8..7...........123......456......789....12.....4..9....78.......3.72....1..6.....9.5............123......456......789....12.....2..5....34........84.....15.......9..76..........123......456......789....12.....4..9....78.......3.72....1..5.....9.6............123......456......789....12.....3..5....78.........3.6...4..79....18.............123......456......789.....1.......24...98........748.......653....1.2............123......456......789.....1.......27....56......21.......7.45.....9..83..........123......456......789.....1.......27...56.........983....4.75.....1.2............123......456......789.....1.......27...6.5.......9.83....47.5.....12.............123......456......789.....1.......28....47......8.1.5.....3.49....25.............123......456......789.....1.......54...86...3.....5......914......3..82..........123......456......789.....1.......82...4.7.......21.5....58.......9..43..........123......456......789.....1......246...9.3.......61.5.....4.......5..98..........123......456......789.....1......246...9.3.......61.7.....4.......8..95..........123......456......789.....1......246...9.3.......61.8.....4.......8..95..........123......456......789.....1......247....53......7.1.8.....6.59....4..............123......456......789.....1......247....53......7.1.8.....9.56....4..............123......456......789.....1......247....63......7.1.8....8..69....4..............123......456......789.....1......247....63......7.1.9....9..65....4..............123......456......789.....1......247....63......7.1.9....9..68....4..............123......456......789.....1......247....83......7.1.9.....5.86....4..............123......456......789.....1......247....93......7.1.8....8..96....4..............123......456......789.....1......247...5.3.......71.9.....4.......8..56..........123......456......789.....1......547....36........938....4.5.9....7..............123......456......789.....1......574...69.........4.......87.2....2..93..........123......456......789.....1......874....69......4..........265....7.8.2..........123......456......789.....1......874....69......4..........365....7.8.3..........123......456......789.....1......874....69......4.........1.62....7.8.5..........123......456......789.....1......874....69......4.........1.65....7.8.2..........123......456......789.....1......874....69......4........9..62....7.8.5..........123......456......789.....1......874...96.......8.7.5....5..62......4............123......456......789.....1.....2.37...86..........64......3......197..8.........123......456......789.....1.....2.47....35......781..2......39....4..............123......456......789.....1.....2.47....36......781..2......39....4..............123......456......789.....1.....2.47....36..2...781.........39....4..............123......456......789.....1.....2.47....536.....781.........59....4..............123......456......789.....1.....2.47....563.....781.........59....4..............123......456......789.....1.....2.47....63..2...781.........69....4..............123......456......789.....1.....2.47....65......781..2......69....4..............123......456......789.....1.....2.57....38......6..23....97.......1...8..........123......456......789.....1.....2.64...39..........28......4......1769...........123......456......789.....1.....3..4...8.7.6......4.3.....1..7.....2.98..........123......456......789.....1.....3.47....265.....781.........29....4..............123......456......789.....1.....3.47....562.....781.........59....4..............123......456......789.....1.....3.47....62..3...781.........69....4..............123......456......789.....1.....3.47....65..3...781.........69....4..............123......456......789.....1.....3.64....49.5....1..7........23....45.............123......456......789.....1.....3487....69.........36....45.2.....7..............123......456......789.....1.....4258....69.........46....81...7...2..............123......456......789.....1.....4.82....95.........973...1.8......2....6.........123......456......789.....1.....5..2...278.........79....1..5.....4.68...........123......456......789.....1.....5.24....48.3.......65....4..7.....13.............123......456......789.....1.....5.27....68.........63....4........127..8.........123......456......789.....1.....5.27....68.........63....4........127..9.........123......456......789.....1.....5.27....68.........63....4........127.8..........123......456......789.....1.....5.27....68.........63....4........127.9..........123......456......789.....1.....5.27....68..3......63....4........127............123......456......789.....1.....5.27....68..5......63....4........127............123......456......789.....1.....5.27....68.4.......63....4........127............123......456......789.....1.....5.27....68.5.......63....4........127............123......456......789.....1.....5.27....683........63....4........127............123......456......789.....1.....5.27....684........63....4........127............123......456......789.....1.....5.34....96.........52....3.1......47.9...........123......456......789.....1.....5.34...98..........96.....13......7.45...........123......456......789.....1.....5.47....32......781.5.......39....4..............123......456......789.....1.....5.47....62......781.5.......69....4..............123......456......789.....1.....5.47....63......781.5.......69....4..............123......456......789.....1.....5.64...93..........28......4......7169...........123......456......789.....1.....5247....63......7.1.5.......68....4..............123......456......789.....1.....5247....63......7.1.5.......69....4..............123......456......789.....1.....5247....93......7.1.5.......98....4..............123......456......789.....1.....5497....28......7........46.3........52..........123......456......789.....1.....58.7....69.5.......63....4........127............123......456......789.....1.....58.7....693........63....4........127............123......456......789.....1.....6..3....974........98....1..6.....5.27...........123......456......789.....1.....6.27....95.........83....21.......74.5...........123......456......789.....1.....6.27...5.8.........63....47.5......21............123......456......789.....1.....6.29....27.......3.7.....19.......2..8.5.........123......456......789.....1.....8.27....65.........63....4........127..5.........123......456......789.....1.....8.27....65.........63....4........127..9.........123......456......789.....1.....8.27....65.........63....4........127.9..........123......456......789.....1.....8.27....65..3......63....4........127............123......456......789.....1.....8.27....65..8......63....4........127............123......456......789.....1.....8.27....65.4.......63....4........127............123......456......789.....1.....8.27....65.8.......63....4........127............123......456......789.....1.....8.27....653........63....4........127............123......456......789.....1.....8.27....654........63....4........127............123......456......789.....1.....8247...36..........65......4......1.7.8..........123......456......789.....1.....9.27....65.........63....4........127..8.........123......456......789.....1.....9.27....65.........63....4........127.8..........123......456......789.....1.....9.27....65..9......63....4........127............123......456......789.....1.....9.27....65.9.......63....4........127............123......456......789.....1.....9.27...6.5.........83....47.5.....12.............123......456......789.....1....2..87...56.......4.12........69.....78............123......456......789.....1....26..3...9.7.........98.....1.6......527...........123......456......789.....1....3..24...5.8.........69.....4.......1275...........123......456......789.....1....3.2.7...5.8......471.5.......69.....2.............123......456......789.....1....4..27...6.5.........83....47.5.....12.............123......456......789.....1....4..27...9.5.........83....47.5.....12.............123......456......789.....1....6..24...5.8.........69.....4.......1275...........123......456......789.....1....6.2.9....72......9.1......2...85.....3.7..........123......456......789.....1....7...4...96.2.3.....1.........69.....58.7..........123......456......789.....1....8..42...37.........139....2.6........9.7..........123......456......789.....1....8.7.2...56.........18........54.....976...........123......456......789.....1....9..27...5.8.6.......53....47........21............123......456......789.....1....9..47...56.........17........5.3...274............123......456......789.....1....9.2.7...5.8......471.5.......69.....2.............123......456......789.....1...2..748...36........81..9.....7.........26..........123......456......789.....1...3...27...5.9.........83....47.5.....12.............123......456......789.....1...35..4....7..8.6.....17......65.........23..........123......456......789.....1...4.5.27...6.8.........56....79........2..8..........123......456......789.....1...5..274....63......4.1.5.......68....7..............123......456......789.....1...5..274....63......4.1.5.......69....7........`

These have been morphed preferentially buts its not helpful in reducing any search [for me]

Along the way over 2500 6plus14s and 171 5plus15s [all minimal] puzzles were collected - and this is still expanding as - the search space is significantly larger still

Its hard to imagine there can be so many ways to put a few clues in a few boxes !!!

Ive not analysed the B12369 which solve with 9 clues in B3 - nor their gangster equivalent solutions in B4578

As an interim I have found a minimal puzzle with max clues in B4578 18plus8
Code: Select all
`+---+---+---+|...|...|123||...|...|7.8||...|...|456|+---+---+---+|6..|.12|...||521|698|...||.4.|.3.|...|+---+---+---+|9..|.85|...||.32|1..|...||...|.2.|...|+---+---+---+  18plus8`
coloin

Posts: 2336
Joined: 05 May 2005
Location: Devon

### Re: How many 1-clue-box and 2-clue-box?

Code: Select all
`+---+---+---+|...|...|123||...|...|4.6||...|...|789|+---+---+---+|5..|6.8|...||.32|.15|...||...|2..|...|+---+---+---+|9..|172|...||821|5.6|...||.7.|3..|...|+---+---+---+    minimal 19plus8`
coloin

Posts: 2336
Joined: 05 May 2005
Location: Devon

### Re: How many 1-clue-box and 2-clue-box?

coloin wrote:As an interim I have found a minimal puzzle with max clues in B4578 18plus8

I haven't followed any discussions about the maximum number of clues in puzzles with four empty boxes. Are these of any interest?
Code: Select all
` . . . . . . 1 2 3 . . . . . . 4 5 6 . . . . . . 7 . 9 . . 3 6 1 . . . . 8 2 . . 5 . . . . . 7 5 . 3 4 . . . . 9 . . 6 . . . . . 3 2 1 9 5 . . . 1 6 . 3 . 7 . . .   29C, 21plus8 . . . . . . 1 . 3 . . . . . . 4 5 6 . . . . . . 7 8 . 9 4 3 . 1 . . . . 8 . 1 . . 6 . . . . 2 7 8 . 4 . . . 7 9 2 4 6 8 . . . 4 . . 1 . . . . . 1 . 8 3 . 2 . . .   30C, 23plus7`

Mike

m_b_metcalf
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Posts: 13539
Joined: 15 May 2006
Location: Berlin

### Re: How many 1-clue-box and 2-clue-box?

m_b_metcalf wrote:I haven't followed any discussions about the maximum number of clues in puzzles with four empty boxes. Are these of any interest?

well there aint been any discussion ! ... but those are pretty good ones , will see if I can better !

I guess if there isn't a 13plus6 there might be a 14plus5 ....

Regarding the 15plus5s I found - interestingly only 2 of the 3 valid ways to put 5 clues in box3 are represented

Serg wrote:
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`                                       *************************************                 . . x   . . .   . . x * . . x   . . x   . . x   . . x5 filled cells   . . x   . x x   . x x * . x x   . x .   x x .   . x x                 x x x   x x x   . x x * x . x   x x x   x x .   x x .****************************************`

Code: Select all
`+---+---+---+|...|...|..1||...|...|.2.||...|...|345|+---+---+---+|...|.46|...||..3|2..|...||781|...|...|+---+---+---+|.6.|..9|...||824|...|...||9..|.51|...|+---+---+---+        29 of these box3 pattern+---+---+---+|...|...|..1||...|...|.23||...|...|45.|+---+---+---+|...|..1|...||..5|.36|...||247|...|...|+---+---+---+|.5.|47.|...||1..|.8.|...||693|...|...|+---+---+---+       143 of these box3 pattern`

here are the 15plus5s I found
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Code: Select all
`........1.......2.......345.....1.....6.35....376.4......286...15.7.....9................1.......2.......345.....1.....6.57...289.......4.63.....5.8.4...37...............1.......2.......345.....1.....6.57...892.......4.63.....78......35.9.............1.......2.......345.....1.....6.57...892.......4963.....7.......35.9.............1.......2.......345.....3.....6.71....89......2789.....3....7...4...65...........1.......2.......345.....4.....6.32....376.5......186...42.7.....9................1.......2.......345.....4.....6783...249.........89.....3.2.....71.6.............1.......2.......345.....4.....6783...249.........89.....3.2.....75.6.............1.......2.......345.....6.....7.15...892.......4.73.....58......31.9.............1.......2.......345.....6.....7.42...891.......28.......5.73....34.9.............1.......2.......345....15.....2..6...478........6.24...3..8.....917..............1.......2.......345....15.....2..6...478.......4.72.....6.9.4...35...............1.......2.......345....15.....2..6...478.......8..24...3..8.....917..............1.......2.......345....15.....2..6...478......3..8.....5...24...917..............1.......2.......345....15.....2.6....478........72.9...3..74....58...............1.......2.......345....15.....2.6....478........79.2...3..74....58...............1.......2.......345....15.....2.6....478......3..74....58.......6..2.9...........1.......2.......345....15.....2.6....478......3..74....58.......6..9.2...........1.......2.......345....15.....36.....782.......1..9.....3..24...865..............1.......2.......345....15.....36.....782.......1..9....865......9...24...........1.......2.......345....15.....36.....782.......14.9....86.......9...24...........1.......2.......345....15.....6..7...248......4..26....53.......7..9.4...........1.......2.......345....15.....6.7....482.3.......6.8...1.9..2...75...............1.......2.......345....15....12.6....7.8.......3.74.....6.9.2...85...............1.......2.......345....16.....2..5...478........5.24...3..8.....917..............1.......2.......345....16.....2..5...478.......8..24...3..8.....917..............1.......2.......345....16.....2..5...478......3..8.....6...24...917..............1.......2.......345....16.....748.....42..7......269....58......1..3.............1.......2.......345....46.....32.....781.......6...9...824......9...51...........1.......23......45......1.....5.36...247.......5.47....1...8....693..............1.......23......45......1.....5.36...247.......5.47....183......6...9............1.......23......45......1.....5.36...247.......5.74....1...8....693..............1.......23......45......1.....5.36...247.......5.74....183......6...9............1.......23......45......1.....5.36...247......1...8....693......8..47............1.......23......45......1.....5.36...247......1...8....693......8..74............1.......23......45......1.....5.36...247......183......6...9....9..47............1.......23......45......1.....5.36...247......183......6...9....9..74............1.......23......45......1.....5.36...274.......5.47....1...8....693..............1.......23......45......1.....5.36...274.......5.47....183......6...9............1.......23......45......1.....5.36...274.......5.74....1...8....693..............1.......23......45......1.....5.36...274.......5.74....183......6...9............1.......23......45......1.....5.36...274......1...8....693......8..47............1.......23......45......1.....5.36...274......1...8....693......8..74............1.......23......45......1.....5.36...274......183......6...9....9..47............1.......23......45......1.....5.36...274......183......6...9....9..74............1.......23......45......1.....5.36...478.......1..2.....9.48....76..5............1.......23......45......1.....5.36...478.......6..2.....9.48....71..5............1.......23......45......1.....5.36...784.......1..2.....9.47....86..5............1.......23......45......1.....5.36...784.......6..2.....9.47....81..5............1.......23......45......1.....5.67....482.....16..5....3..9.....9..48............1.......23......45......1.....5.67....482.....16..5....3..9.....9..84............1.......23......45......1.....5.67....842.....16..5....3..9.....9..48............1.......23......45......1.....5.67....842.....16..5....3..9.....9..84............1.......23......45......1.....5236....74......1...8....6.3......8..479...........1.......23......45......1.....5236....74......1...8....6.3......8..749...........1.......23......45......1.....5236....74......1.3......6...8....8..479...........1.......23......45......1.....5236....74......1.3......6...8....8..749...........1.......23......45......1.....5367....48......16..5....3..9.....9..48............1.......23......45......1.....5367....48......16..5....3..9.....9..84............1.......23......45......1.....5367....84......16..5....3..9.....9..48............1.......23......45......1.....5367....84......16..5....3..9.....9..84............1.......23......45......2.....5.16....478.....2..9.....38..5....9..47............1.......23......45......2.....5.16....478.....2..9.....38..5....9..74............1.......23......45......2.....5.16....748.....2..9.....38..5....9..47............1.......23......45......2.....5.16....748.....2..9.....38..5....9..74............1.......23......45......2.....5136....47......2...8....39.5.....8..47............1.......23......45......2.....5136....47......2...8....39.5.....8..74............1.......23......45......2.....5136....74......2...8....39.5.....8..47............1.......23......45......2.....5136....74......2...8....39.5.....8..74............1.......23......45......3.....4.61....57.4....2..75....3..2.....681..............1.......23......45......3.....4.61....75.4....2..75....3..2.....681..............1.......23......45......4.....2.6....378.5.....5.7.1....9.2.....64.9.............1.......23......45......4.....6.78...129..5....8.6.....5..23....74...............1.......23......45......4.....6.78...139..5....8.6.....5..32....74...............1.......23......45......4.....6.78...193..5....8.3.....5..29....74...............1.......23......45......4....12.6....3.7.5.....5.8.1....9.2.....64.9.............1.......23......45......5.....1.46...37...8.....62.......975....184..............1.......23......45......6.....2.4.....37.5....5..8.1...64.9.....9..26............1.......23......45......6.....2.4.....37.5....5..8.1...64.93....9..2.............1.......23......45......6.....2.4.....37.5....5..871...64.9.....9..2.............1.......23......45......6.....2.4....378.5.....5.7.1....9.2.....46.9.............1.......23......45......6.....3.4.....72.5.....2.3.1...64.8.....8..96............1.......23......45......6.....3.4.....72.5.....2.371...64.8.....8..9.............1.......23......45......6.....3.4.....72.5....5..3.1...64.8.....8..96............1.......23......45......6.....3.4.....72.5....5..37....64.8.....8..9.4...........1.......23......45......6.....3.4.....72.5....5..371...64.8.....8..9.............1.......23......45......6.....3.74....82......5..9.....67..3....9..285...........1.......23......45......6.....3.74....82......5..9.....67..31...9..28............1.......23......45......6.....3.74....82......52.9.....6...31...9..28............1.......23......45......6.....4..3....78.24......47....1.39.....62.1.............1.......23......45......6.....7.48...129..5....8.7.....46.......5..23............1.......23......45......6.....7.48...139..5....8.7.....46.......5..32............1.......23......45......6.....7.48...193..5....8.3.....46.......5..29............1.......23......45......6....12.4....3.7.5.....5.8.1....9.2.....46.9.............1.......23......45.....13.....46.....278..........29....1...5...7631.............1.......23......45.....13.....6.7....285.........2.9....13..4...87.1.............1.......23......45.....13.....6.7....285.........2.9....73..4...81.7.............1.......23......45.....13.....6.7....584.........4.9....13..6...87.1.............1.......23......45.....13.....6.7....584.........4.9....73..6...81.7.............1.......23......45.....14.....567.....48......16.5.....3....9...9..4.8...........1.......23......45.....14....2678....5.7.........4.7....8...2...19.5.............1.......23......45.....16.....27.4....38......41..9....5..2.....7..83............1.......23......45.....16.....27.4....38......41..9....5..8.....7..23............1.......23......45.....16.....578.....46......17.5.....3....9...9..6.4...........1.......23......45.....24.....516.....47......2....8...39.5.....8..4.7...........1.......23......45.....25.....1.6....378........413....6..8.7...95...............1.......23......45.....25.....1.6....378........483....6..1.7...95...............1.......23......45.....25.....1.6....378.......1.7.8...4..13....5.9..............1.......23......45.....25.....1.6....378.......1.8.7...4..13....59...............1.......23......45.....25.....1.6....378.......1.8.7...54.......9..13............1.......23......45.....25.....1.6....378.......8.1.7...4..83....59...............1.......23......45.....25.....1.6....378.......8.1.7...54.......9..83............1.......23......45.....25.....1.6....378......4..13....59.......6..8.7...........1.......23......45.....25.....1.6....378......4..83....59.......6..1.7...........1.......23......45.....25.....1.6....378......54.......6..1.7...9..83............1.......23......45.....25.....1.6....378......54.......6..8.7...9..13............1.......23......45.....25.....6.7....138.......4.63.....59......6..1.8...........1.......23......45.....25.....6.7....381........413....7..6.8...95...............1.......23......45.....25.....6.7....381........463....7..1.8...95...............1.......23......45.....25.....6.7....381.......1.6.8...4..13....59...............1.......23......45.....25.....6.7....381.......1.6.8...54.......9..13............1.......23......45.....25.....6.7....381.......6.1.8...4..63....59...............1.......23......45.....25.....6.7....381.......6.1.8...54.......9..63............1.......23......45.....25.....6.7....381......4..13....59.......7..6.8...........1.......23......45.....25.....6.7....381......4..63....59.......7..1.8...........1.......23......45.....25.....6.7....381......54.......7..1.8...9..63............1.......23......45.....25.....6.7....381......54.......7..6.8...9..13............1.......23......45.....26.....1.5....378.......1.7.8...4..13....9.6..............1.......23......45.....26.....1.5....378.......1.8.7...4..13....69...............1.......23......45.....26.....1.5....378.......1.8.7...64.......9..13............1.......23......45.....26.....1.5....378.......8.1.7...4..83....69...............1.......23......45.....26.....1.5....378.......8.1.7...64.......9..83............1.......23......45.....26.....1.5....378......4..13....5..8.7...69...............1.......23......45.....26.....1.5....378......4..83....5..1.7...69...............1.......23......45.....26.....1.5....378......5..1.7...64.......9..83............1.......23......45.....26.....1.5....378......5..8.7...64.......9..13............1.......23......45.....26.....517.....46......2....8...39.5.....8..6.4...........1.......23......45.....26.....7..5...3817.........73...4..1.....928..............1.......23......45.....26.....7.5....138.......4.73.....96......7..1.8...........1.......23......45.....26.....7.5....381.......1.7.8...4..13....69...............1.......23......45.....26.....7.5....381.......1.7.8...64.......9..13............1.......23......45.....26.....7.5....381.......7.1.8...4..73....69...............1.......23......45.....26.....7.5....381.......7.1.8...64.......9..73............1.......23......45.....26.....7.5....381......4..13....5..7.8...69...............1.......23......45.....26.....7.5....381......4..73....5..1.8...69...............1.......23......45.....26.....7.5....381......5..1.8...64.......9..73............1.......23......45.....26.....7.5....381......5..7.8...64.......9..13............1.......23......45.....36.....4..1...5789........58.....6..2....713..............1.......23......45.....36.....4..1...5789........85.....6..2....713..............1.......23......45.....36.....4..1...7859........57.....6..2....813..............1.......23......45.....36.....4..1...7859........75.....6..2....813..............1.......23......45.....46.....6..7...128..5....4.8.....5..32....79...............1.......23......45.....46.....6..7...128..5....9.8.....5..32....74...............1.......23......45.....46.....6..7...128.3.....4.8.....5..32....79...............1.......23......45.....46.....7..2....18.5.......194...65.......9.27.............1.......23......45.....46.....7..8....13..5....5.9.1...64..5....8..3.............1.......23......45.....46.....7..8....19..5....5.3.1...64..5....8..9.............1.......23......45.....46.....7..8....23.5....46.......5..71....8..9.4...........1.......23......45.....46.....7..8....23.5....46.......5..712...8..9.............1.......23......45.....46.....7..8....23.5....5..71....64.......8..9.4...........1.......23......45.....46.....7..8....23.5....5..712...64.......8..9.............1.......23......45.....46.....7..8....23.5....5..91....6....4...84.7.............1.......23......45.....46.....7..8...129..5....8.9.....5..32....64...............1.......23......45.....46.....7.8.....13.5.....5.91....64...5...8..3.............1.......23......45.....46.....7.8.....19.5.....5.31....64...5...8..9.............1.......23......45.....46.....7.8.....23..5...4...6....5..9.1...86.7.............1.......23......45.....46.....7.8.....23..5...46.......5..7.1...8..96............1.......23......45.....46.....7.8.....23..5...46.......5..721...8..9.............1.......23......45.....46.....7.8.....23..5...5..7.1...6..9.....94..6............1.......23......45.....46.....7.8.....23..5...5..7.1...64.......8..96............1.......23......45.....56.....1.2....378........79.1...4..73....68.......`
coloin

Posts: 2336
Joined: 05 May 2005
Location: Devon

### Re: How many 1-clue-box and 2-clue-box?

Code: Select all
`+---+---+---+|...|...|123||...|...|456||...|...|7.9|+---+---+---+|7..|.68|...||238|419|...||.9.|52.|...|+---+---+---+|62.|.81|...||.71|29.|...||8..|.4.|...|+---+---+---+    22plus8 [30C]`
coloin

Posts: 2336
Joined: 05 May 2005
Location: Devon

### Re: How many 1-clue-box and 2-clue-box?

Code: Select all
` . . . . . . 1 2 6 . . . . . . 4 3 5 . . . . . . 7 . 9 7 . . 3 . . . . . . 3 . 4 1 9 . . . . 9 6 5 . 7 . . . . 2 . 7 8 1 . . . 3 7 1 2 . 5 . . . 8 . 9 . . 3 . . .   30C, 22plus8 . . . . . . 1 2 3 . . . . . . 4 5 . . . . . . . . . 9 . 4 8 7 1 . . . . 2 . 1 . 5 6 . . . 6 7 5 . 8 . . . . . . 7 . 6 2 . . . . 8 3 . 9 5 . . . 1 6 . 8 3 . . . .   29C, 23plus6`

m_b_metcalf
2017 Supporter

Posts: 13539
Joined: 15 May 2006
Location: Berlin

### Re: How many 1-clue-box and 2-clue-box?

only a matter of time to complete this one
Cant believe we havent seen this pattern before
Code: Select all
`+---+---+---+|...|...|123||...|...|4.5||...|...|678|+---+---+---+|869|751|...||1..|..9|...||3.7|4.6|...|+---+---+---+|6..|3.5|...||9..|..8|...||413|697|...|+---+---+---+    23plus8 `
coloin

Posts: 2336
Joined: 05 May 2005
Location: Devon

### Re: How many 1-clue-box and 2-clue-box?

Here are a few more 31C:
Code: Select all
`......123.......45......6788.47.1...1592.....32..85.....832....492.58....3.64....    ......123......45........67.4721....3..7.8...825.34....72.8....4.917....18.492...     ......123......456......7.8..769....93...5...264.37.....327....4.2..6...675349...    ......123......456......7.8..769....93...5...164.38.....317....4.1..6...675349...     ......123......456......7.8..782....23...5...184.37.....317....4.1..8...875342...     ......1.2......345......678..689....92...4...183.26.....216....3.1..8...864239...    ......1.2......345......678..657....72...4...153.28.....216....3.1..5...564237...    `

m_b_metcalf
2017 Supporter

Posts: 13539
Joined: 15 May 2006
Location: Berlin

### Re: How many 1-clue-box and 2-clue-box?

Code: Select all
` . . . . . . 1 2 3 . . . . . . 4 5 . . . . . . . . 6 7 . 5 7 6 1 . . . . 3 . 1 7 . 8 . . . 8 6 9 . 3 2 . . . . 7 6 . 8 5 . . . . . 2 1 7 . . . . 1 8 . 3 2 6 . . .   32C, 25plus7, ED=6.6/1.2/1.2 . . . . . . 1 2 3 . . . . . . 4 5 6 . . . . . . . 7 8 . 9 8 1 4 . . . . 3 . 4 8 . 6 . . . 6 1 5 . 3 2 . . . . 8 1 . 6 . . . . . . 2 4 8 . . . . 4 6 . 3 2 1 . . .   32C, 24plus8, ED=7.2/1.0/1.0 . . . . . . 1 2 3 . . . . . . 4 5 . . . . . . . 6 7 8 . 4 8 3 1 . . . . 9 . . 8 . 6 . . . 6 3 5 . 9 4 . . . . 8 3 . 6 . . . . 4 . 2 1 8 . . . . 1 6 . 4 2 3 . . .   32C, 24plus8, ED=7.3/1.0/1.0`
Last edited by m_b_metcalf on Sun Sep 18, 2022 9:14 am, edited 1 time in total.

m_b_metcalf
2017 Supporter

Posts: 13539
Joined: 15 May 2006
Location: Berlin

### Re: How many 1-clue-box and 2-clue-box?

Code: Select all
` . . . . . . 1 2 3 . . . . . . 4 5 . . . . . . . . 6 7 . 4 7 3 1 . . . . 8 . 1 7 . 2 . . . 2 3 9 . 8 4 . . . . 7 3 . 2 . . . . 4 . 5 1 7 . . . . 1 2 8 4 5 3 . . .    33C, 26plus7, ED=6.6/2.0/2.0`

m_b_metcalf
2017 Supporter

Posts: 13539
Joined: 15 May 2006
Location: Berlin

### Re: How many 1-clue-box and 2-clue-box?

Very good - not surprised by a 33 as there were many of this pattern
Code: Select all
`+---+---+---+|...|...|123||...|...|4.6||...|...|789|+---+---+---+|841|563|...||3..|..9|...||5.9|1.2|...|+---+---+---+|2.3|8.4|...||9..|..5|...||415|296|...|+---+---+---+       32C 24plus8   ED=7.3`
coloin

Posts: 2336
Joined: 05 May 2005
Location: Devon

### Re: How many 1-clue-box and 2-clue-box?

coloin wrote:Very good - not surprised by a 33 as there were many of this pattern

Here's my complete list so far, and I'll stop there. I have a job running to check for 34C, but don't hold your breath.
Code: Select all
`......123......45........67.4731....8.17.2...239.84....73.2....4.517....128453...     ......123......45........67.5731....2.17.8...836.92....73.85.....217....185923... ......123......45........67.4518....3.85.6...619.34....51.63...4.285....86.421...  ......123......45........67.4732....5.27.1...138.54....73.1....4.927....215493...     ......123......45........67.4137....2.71.8...839.24....13.8....4.571....782453...      ......123......45.......678.4831....7.18.6...635.94....83.6....4.698....15.473...      ......123......45.......678.4835....2.58.6...639.24....83.6....4.158....56.413...      ......123......456.......78.4831....7.18.9...935.64....83.9....4.968....15.473...       ......123......456.......78.4816....3.68.7...719.34....81.7....4.568....67.451...     `

Mike

m_b_metcalf
2017 Supporter

Posts: 13539
Joined: 15 May 2006
Location: Berlin

### Re: How many 1-clue-box and 2-clue-box?

Yes its going to be tough getting a 34 ....

Code: Select all
`+---+---+---+|...|...|123||...|...|4.5||...|...|678|+---+---+---+|347|968|...||2..|.35|...||5.9|2.4|...|+---+---+---+|4.8|6.9|...||7..|..3|...||623|457|...|+---+---+---+   33C 25plus8  ED=7.2`
coloin

Posts: 2336
Joined: 05 May 2005
Location: Devon

### Re: How many 1-clue-box and 2-clue-box?

m_b_metcalf wrote:I have a job running to check for 34C, but don't hold your breath.

Null result.

m_b_metcalf
2017 Supporter

Posts: 13539
Joined: 15 May 2006
Location: Berlin

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