9plus12 game

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Re: 9plus12 game

Postby coloin » Mon Feb 11, 2013 12:04 pm

Well ...... improved search on the horizontal-9plus12s got at least 20 more !
here is 5
Code: Select all
123456789........1...2.......8..1.........4.5.........54....2.....7.8.6..........
123456789........1...2.......8..1.........4.5.........54....2.....7.3.6..........
123456789........1...2.......8..1.........4.5.........54....2.....8.7.6..........
123456789........1...2.......8..1.........4.5.........54....2.....3.7.6..........
123456789........1...2.......8..1.........4.5.........54....2.....8.7.3..........

C
coloin
 
Posts: 1623
Joined: 05 May 2005

Re: 9plus12 game

Postby dobrichev » Mon Feb 11, 2013 5:40 pm

Congratulations!

I am confirming the new 5 puzzles 9+12 givens distribution :P

Minimizing the first row results in 42 puzzles, 20 of size 18 and 22 of size 19. Massive search within 19's + magic patterns?
Hidden Text: Show
Code: Select all
.234.678.........1...2.......8..1.........4.5.........54....2.....7.8.6..........       18
.2345.7.9........1...2.......8..1.........4.5.........54....2.....7.8.6..........       18
.23456.89........1...2.......8..1.........4.5.........54....2.....7.8.6..........       19
1.3.56.89........1...2.......8..1.........4.5.........54....2.....7.8.6..........       18
1.34.6789........1...2.......8..1.........4.5.........54....2.....7.8.6..........       19
1.345.789........1...2.......8..1.........4.5.........54....2.....7.8.6..........       19
12.456.89........1...2.......8..1.........4.5.........54....2.....7.8.6..........       19
12.4567.9........1...2.......8..1.........4.5.........54....2.....7.8.6..........       19
.234.678.........1...2.......8..1.........4.5.........54....2.....7.3.6..........       18
.2345.7.9........1...2.......8..1.........4.5.........54....2.....7.3.6..........       18
.23456.89........1...2.......8..1.........4.5.........54....2.....7.3.6..........       19
1.3.56.89........1...2.......8..1.........4.5.........54....2.....7.3.6..........       18
1.34.6789........1...2.......8..1.........4.5.........54....2.....7.3.6..........       19
1.345.789........1...2.......8..1.........4.5.........54....2.....7.3.6..........       19
12.45.789........1...2.......8..1.........4.5.........54....2.....7.3.6..........       19
12.4567.9........1...2.......8..1.........4.5.........54....2.....7.3.6..........       19
.234.678.........1...2.......8..1.........4.5.........54....2.....8.7.6..........       18
.2345..89........1...2.......8..1.........4.5.........54....2.....8.7.6..........       18
.2345.7.9........1...2.......8..1.........4.5.........54....2.....8.7.6..........       18
1.3.56.89........1...2.......8..1.........4.5.........54....2.....8.7.6..........       18
1.34.6789........1...2.......8..1.........4.5.........54....2.....8.7.6..........       19
1.345..89........1...2.......8..1.........4.5.........54....2.....8.7.6..........       18
12.456.89........1...2.......8..1.........4.5.........54....2.....8.7.6..........       19
12.4567.9........1...2.......8..1.........4.5.........54....2.....8.7.6..........       19
123.567.9........1...2.......8..1.........4.5.........54....2.....8.7.6..........       19
.234.678.........1...2.......8..1.........4.5.........54....2.....3.7.6..........       18
.2345..89........1...2.......8..1.........4.5.........54....2.....3.7.6..........       18
.2345.7.9........1...2.......8..1.........4.5.........54....2.....3.7.6..........       18
1.3.56.89........1...2.......8..1.........4.5.........54....2.....3.7.6..........       18
1.34.6789........1...2.......8..1.........4.5.........54....2.....3.7.6..........       19
1.345..89........1...2.......8..1.........4.5.........54....2.....3.7.6..........       18
12..56789........1...2.......8..1.........4.5.........54....2.....3.7.6..........       19
12.4567.9........1...2.......8..1.........4.5.........54....2.....3.7.6..........       19
.234.678.........1...2.......8..1.........4.5.........54....2.....8.7.3..........       18
.2345..89........1...2.......8..1.........4.5.........54....2.....8.7.3..........       18
.234567.9........1...2.......8..1.........4.5.........54....2.....8.7.3..........       19
1.3.56.89........1...2.......8..1.........4.5.........54....2.....8.7.3..........       18
1.34.6789........1...2.......8..1.........4.5.........54....2.....8.7.3..........       19
1.345..89........1...2.......8..1.........4.5.........54....2.....8.7.3..........       18
12.456.89........1...2.......8..1.........4.5.........54....2.....8.7.3..........       19
12.4567.9........1...2.......8..1.........4.5.........54....2.....8.7.3..........       19
123.567.9........1...2.......8..1.........4.5.........54....2.....8.7.3..........       19
dobrichev
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Re: 9plus12 game

Postby coloin » Thu Feb 14, 2013 7:31 pm

Thanks ..... well it seems you can always remove 2 clues from a row/box of 9.
Usually a few 6plus12s are valid.
suppose that if there isnt a 6plus 12 then my technique wont find them .....
hmmmmm
fwiw - it is always possible to " fix" 2 of the 12 clues ..... but we are not close to an exaustive search just yet !

C.
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Re: 9plus12 game

Postby Mauricio » Mon Feb 18, 2013 10:32 pm

coloin wrote:Well ...... improved search on the horizontal-9plus12s got at least 20 more !
here is 5...

In the meantime, I hope this is not one of your 20 more

Code: Select all
123456789400000000000000500600000120050970000000000000079000000000001040000000000
Mauricio
 
Posts: 1174
Joined: 22 March 2006

Re: 9plus12 game

Postby coloin » Mon Feb 25, 2013 12:34 am

Mauricio wrote:In the meantime, I hope this is not one of your 20 more ...............

My total of horizontal 9plus12s is 94, and my lasts batches didnt give any new ones. Your puzzle is included in my list which might be expected if that is the lot......

the problem appears simple - but its not easy.

how are you doing it btw ?

C
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Re: 9plus12 game

Postby coloin » Wed Feb 27, 2013 9:22 pm

As a by-product
a quick look through a few of the lists i have made reveals these 2 potential minima [and i think they have to be minima]
Code: Select all
+---+---+---+
|123|456|789|
|...|...|..1|
|...|3..|...|
+---+---+---+
|...|.71|...|
|...|...|...|
|..6|...|4..|
+---+---+---+
|518|692|347|
|...|...|6..|
|.7.|...|...|
+---+---+---+  18plus8


Code: Select all
+---+---+---+
|123|456|789|
|..9|...|..1|
|...|...|...|
+---+---+---+
|518|972|463|
|...|..1|...|
|...|...|.5.|
+---+---+---+
|751|689|342|
|4..|...|...|
|...|...|...|
+---+---+---+   27plus5


If this could be proven ....

in any 8 rows there must be at least 12 clues
in any 7 rows there must be at least 8 clues
in any 6 rows there must be at least 5 clues
and also
in any 5 rows there must be at least 3 clues

[to go along with
in any 3 rows [in a band] there must be at least 2 clues
in any 2 rows [in a band] there must be at least 1 clue ]

And to follow on a similar vein - [edited]
Code: Select all
+---+---+---+
|123|456|789|
|.8.|...|..1|
|...|..7|..5|
+---+---+---+
|7..|..1|..4|
|...|...|..8|
|...|.3.|..2|
+---+---+---+
|.5.|.8.|..3|
|...|...|..7|
|4..|...|..6|
+---+---+---+  a 17plus8 was found !!!!  [betters the 17plus9]

This probably the best we can do with a full complement of clues on 2 adjacent edges
So this arrangement of 64 cells must have at least 8 clues
C
Last edited by coloin on Tue Aug 06, 2013 3:13 am, edited 2 times in total.
coloin
 
Posts: 1623
Joined: 05 May 2005

Re: 9plus12 game

Postby coloin » Fri May 24, 2013 8:52 pm

Well ...... ongoing fruitless searching has given me a total of 105 horizontal 9plus12s.

The previous puzzle also provides
Code: Select all
+---+---+---+
|612|934|578|
|...|...|.16|
|...|...|..4|
+---+---+---+
|...|...|..1|
|...|..5|2.7|
|14.|...|..3|
+---+---+---+
|...|...|..5|
|...|.4.|..2|
|485|612|739|
+---+---+---+

so these 56 cells would appear to need at least 6 clues. [at least i cant find a 25plus5]

and for completeness i provide this puzzle
Code: Select all
+---+---+---+
|123|456|789|
|8..|...|..6|
|9..|...|..3|
+---+---+---+
|4..|...|.12|
|3..|...|..4|
|5..|..3|..7|
+---+---+---+
|6..|...|..1|
|2..|7..|..5|
|715|239|468|
+---+---+---+

so these 49 cells would appear to need at least 3 clues [one of which needs to be in the middle box]

Absolute proof awaited for all or any !

C
coloin
 
Posts: 1623
Joined: 05 May 2005

Re: 9plus12 game

Postby coloin » Tue Jun 04, 2013 8:16 am

This puzzle [unfortunately] gives us
Code: Select all
+---+---+---+
|398|647|1..|
|572|831|...|
|641|529|...|
+---+---+---+
|123|468|...|
|456|793|...|
|789|152|...|
+---+---+---+
|...|.1.|...|
|...|...|.9.|
|...|...|.58|
+---+---+---+

the confirmation that B36789 needs minimum 5 clues.......
although with the proviso that there are no empty boxes
Code: Select all
+---+---+---+
|398|467|...|
|572|381|...|
|641|259|8..|
+---+---+---+
|123|648|.9.|
|456|973|...|
|789|512|...|
+---+---+---+
|..7|...|1..|
|...|1..|.4.|
|...|...|...|
+---+---+---+

6 clues is the minimum
proved by this maximal no-puzzle pattern
Code: Select all
        P134       
+-----+-----+-----+
|. . .|. . 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 x x|x x x|
|. . .|x x x|x x x|
|x x x|x x x|x x x|
+-----+-----+-----+

and in a similar way
Code: Select all
+---+---+---+
|123|596|.7.|
|456|287|...|
|789|143|..6|
+---+---+---+
|938|451|..7|
|264|378|.5.|
|517|962|.4.|
+---+---+---+
|...|...|...|
|...|...|..9|
|...|..5|...|
+---+---+---+

If there is 2 clues in a band, it would appear that one needs a total of 5 clues in B3 and B6
these 2 impossible patterns confirm that {2 plus 2} or {3 plus 1} or {4 plus 0} clues are impossible
Code: Select all
+-----+-----+-----+   +-----+-----+-----+
|. . .|. . 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|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 .|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 x|
|. . .|x x x|x x x|   |. . .|x x x|x x x|
+-----+-----+-----+   +-----+-----+-----+

and finally ....... this puzzle
Code: Select all
+---+---+---+
|398|647|1..|
|572|831|...|
|641|529|...|
+---+---+---+
|123|.6.|.7.|
|456|...|...|
|789|...|...|
+---+---+---+
|...|.1.|...|
|...|...|.9.|
|...|...|.58|
+---+---+---+

provisionally confirms that a total of 7 clues are required for B356789 [as 6 not found]

Anyway ..............here are the new horizontal 9plus12s i have found - now 105.
Code: Select all
123456789........1.5..8......7..1.......4..5...9...........7..6..........8.....4.
123456789........1....2.........1........9....5....2......6.5..9.....3....4..7...
123456789........1....2.........1........9....5....2......7.5..9.....6....4..3...
123456789........1....7.........1.96........8..5......6....2.........54...8......
123456789........1....7.........1.36........8..5......9....2.........54...8......
123456789........1....2.........1.....5...2....9..8......63.5..8.......7.........
123456789........1..5.3....79...1..........4.8.............7......8.......4....5.
123456789........1..5.3....79...1..........4.8.............7......8.......4....3.
123456789........1..5.3....97...1..........4.8.............7......8.......4....3.
123456789........1..5.3....97...1..........4.8.............7......8.......4....5.
123456789........1..53..........1.....8....3......9...7.....9.6...8.......4......
123456789........1..........6...1..........3...9...54......7..2.......6...53.....
123456789..8.....1..............1......3....854.............52...9..7..........4.
123456789..7.....1....8.......3.1..7.....9....5.......9.1............52..........
123456789.5......1...8.........21..............4....6.4.76.............2..9......
123456789........1...2.....9....1.........5........2......98....7......6.54......
123456789........1.4..2.........1........7....5.....3.7........9...3........4..2.
123456789........1...2..........1.......89....6....4..8.1........4............6.7
123456789........1...2.......9..1.........45..........54....2.....9.7..3.........  # Mauricio
123456789....8...1.9..........2.1........7.....6....5......2..7.........8.5......
123456789........1..5.........8.1.............4....5..98..4........6.31..........
123456789........1..5.........8.1.............4....5..98..4........7.31..........
123456789........1..7.........8.1.............5....6..98..4........6.31..........
123456789........1....2.........1..7..2....5....9.................23..4.97.......
1234567897.......1.........6....1......3...4........3......7..6.842..............
123456789..8.....1....7.......3.1..8.....9...5........9.1............52..........
123456789..8.....1....7.........1......3.9..85........9.1............52..........
123456789........1...8.....9.4..1..................53......4..8.5.......73.......
123456789........1.8.......9....1.......7.32..........7.9.....6....2....5........
123456789........1....3.........1........92..7.5...3........5....6.......9...7...


Fairly difficult to find any more ......

C
coloin
 
Posts: 1623
Joined: 05 May 2005

Re: 9plus12 game

Postby coloin » Sun Jun 30, 2013 9:55 pm

Well it took another big effort to get these two
Code: Select all
1234567898.......1....3...........4........3.9....1....45...........98..........6#[several other puzzles within{+5}]
123456789........16............91........5...2.....3....9.......8..3.......2..6..#[no other puzzles within {+5}]

they are within {+7} of each other which is probably not unexpected. The 2nd puzzle is more remote .....

And 4 more
Code: Select all
123456789.....2..1.............31..864..................1.8.......5...2.......6..
123456789..8.....1....2.........1.....7...42........6..6........4............7..8
123456789........1...2.......7.31.........54...........6.5..........7..34........
123456789........1..6.........7.19.....9.......5..........8.65.94................

C
coloin
 
Posts: 1623
Joined: 05 May 2005

Re: 9plus12 game

Postby coloin » Wed Dec 04, 2013 8:59 pm

revisiting the box 9plus12s - with only 2 clues in a band

these patterns have been shown to have no puzzles
Code: Select all
        P123       
+-----+-----+-----+
|. . .|. 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 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|
+-----+-----+-----+

        P110       
+-----+-----+-----+
|. . .|. . 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|x x x|
+-----+-----+-----+
|. . .|x x x|x x x|
|. . .|x x x|x x x|
|. . .|x x x|x x x|
+-----+-----+-----+

         P114             
 +-----+-----+-----+     
 |. . .|. 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|x x x|     
 +-----+-----+-----+     
 |. . .|x x x|x x x|     
 |. . .|x x x|x x x|     
 |. . .|x x x|x x x|     
 +-----+-----+-----+


this means that the minimum patterns are

033
132
123

or

033
132
132

which means that a 9plus14 is impossible with patterns with only 2 clues in a band

Code: Select all
+---+---+---+
|2..|...|...|
|...|8..|...|
|...|...|...|
+---+---+---+
|6..|123|.8.|
|..8|456|.9.|
|...|789|.4.|
+---+---+---+
|7..|6..|5..|
|..9|3..|1..|
|..5|...|..2|
+---+---+---+ 9plus15


C
Last edited by coloin on Thu Aug 28, 2014 10:40 pm, edited 1 time in total.
coloin
 
Posts: 1623
Joined: 05 May 2005

Re: 9plus12 game

Postby coloin » Sat Mar 29, 2014 1:42 am

Here are my [not quite] final results of a particularly obscessive search of 9plus12-puzzles !

I would be surprised if there is many more - but possibly there are !!

143 Central Box 9plus12s - EDIT and four more is 147 - EDIT and two more is 149 - EDIT and 3 more is 152
Hidden Text: Show
Code: Select all
............3...7.2....4......123...9..456..2...789....1......8.73............9.6
............5..47.6......3....123...8..456..9...789...........8.7.3.......2.....6
............8...7.6.......4...123...9..456..3...789....1.....8..7...2.......6...5
............8...7.6.......4...123...9..456..3...789....1...2....7.....8.....6...5
..........3.....7.6....4.3....123...9..456......789....1....4...738...........6..
.....5.........1...1....27....123...9..456......789...........9.782.......2.....5
...3..4.........7.6.2........9123..6...456......789............473..........6...5
..8.4..........97.............123......456.1...2789....3......8.7...........6.2.5
2...............7........31...123...8..4562.....789....1........74..1.......6.8..
2...........3..97.6......3....123......4562.....789....13.......7...........6.4..
2.....5......6.........7.3....123..79..456......789....1........73............9.6
2...4..........1.3..4.........123......456......789..1.1......8.73..........9..2.
2...4..........97........3....123...8..456..2...789....1........7...........6.8.5
4.............71..2......6..9.123......456..2...789....1........73...9......4....
4....58........27.............1237..9..456......789....1........72.............95
4....8.........12........7....123...9..456......789...........8.572.......2.....3
5...............7.......13....123...2..456..8...789....1.......47...1.......6...5
5...............7.......13....123...2..456..9...789....1........74..1.......9...5
5...............7.6......31...123...2..4569.....789....1........7..9........6.4..
5...............72..9..8......123...9..4563.....789....1...54............72......
5..............17........3....123...9..456......789....1......8.73........2.6...5
5..............17.....4.8.....123...9..456..3...789....13........7..........6...5
5.............21..7..........6123..9...456......789..........78..3....5...2..1...
5............9..7...1....6..4.123...9..456......789.........9.8......5....26.....
5...........2...7.......6.....123...9..4563.....789........54...7..3.....12......
5...........23..7........3...7123......456......789.....3.....8.71.........6....5
5...........3...7........8....123...9..456..2...789....1......6.739.............5
5...........3...7.......83....123...8..456......789....13.....6.7...........6...5
5...........3..1..6...........123.5.9..456.2....789....1........7.2............65
5...........3..67........3....123......456..2...789....1......8.73..........4...5
5...........3..79........3....123...8..456......789....1......8.73..........4...5
5...........3..87........3....123...8..456......789....13.....6.7...........6...5
5...........9..17...8.......96123......456......789.........3.8.7.2...........6..
5..........7...1........73....123...2..456..8...789....4........73..........6...5
5.........9.8..1..............123......456....6.7893.........2..739............45
5........29..4...........3....123.7....456..8...789....13.......7...........6...5
5........3.6.........8....1...123...9..456.3....789....1......8.....5.....2.....7
5........4..3..97........1....123...9..456..3...789....1........7............4..5
5.......46...........9...3....123...8..456..2...789....1.....9...3....7.....6....
5.......6....3..7...1.9.......123...8..456......7893..........8.73............9..
5.......7......2......1.....9.1236.....456......789....1......8.23...........4..5
5......3.......27.8..9.......7123.4....456......789...6.......8...........2.3....
5......3.......27.8..9.......7123.4....456......789...6.......8....3......2......
5......3.......27.8..9.......7123.6....456......789...6.......8....3......2......
5......7.28..4...........3....123......456..9...789....13.......7...........6...5
5.....2......6.........7.3....123..79..456......789....1........73............9.4
5.....2......6.........7.3....123..79..456......789....1........73............9.6
5.....3.....3..19.6...........123......456.2....789.....1.......73..........6..4.
5.....7.......21..3.4.........123...9..456..3...789....1....8.....5.............5
5.....8......6.........7.3....123..79..456......789....1........73............9.4
5.....8......6.........7.3....123..79..456......789....1........73............9.6
5.....9........17.6.2.........123.....8456..2...789....1....7...............3...5
5....48........17.............1237..9..456......789....17.............69..2......
5....8.........17........4....1237..9..456......789..........58.71.......2.......
5...1...........7...4....3....123......756.....7489.....9.....1.73..........6...5
5...1...........7...9....3....123......456....3.789.4.........1.7...........6.8.5
5...1....9......7........3....123......456....3.789.4...........7......1....6.8.5
5...1....9......7........3....123......456....3.789.4.........1.7...........6.8.5
5...4...........1.......93....123......456....3.789....1......8.73..........6...5
5...4...........7...1....3...7123......456......789.....9.....4.73..........6...5
5...4...........79.......3....123......4568...3.789....13.......7.............4.5
5...4..........13........2....123......456..9...789.1..1........73..........6...5
5...4..........16........3....123...9..456..2...789...........8.13..........9..5.
5...4..........16.2......3....123...92.456......789....1.........3..........9...5
5...4..........17..1.....3....123...2..456......789...........6.73........8.....5
5...4..........97........3....123...2..456..8...789....1........7...........6.8.5
5...6..........17..1.....3....123...2..456......789.....8.....4.73..............5
5...6.......3...7.............123...9..456..2...789....1....6.8.73..............5
5...6.......3...7.............123...9..456..2...789....1....8.6.73..............5
5...6......9....7.............123...9..456..2...789....1..4...8.73...9...........
5...6.2.9..........1.....3....123.7.8..456......789.............73............8.5
5...7..........19........3...9123.6....456......789...7.......8..39.............5
5...9..........7........13....123...9.2456......789..........98.7.3.............5
5...9.....9.....7........3...6123......456......789..4......9.8......5....23.....
5..29...................73....123...8..456......789....1......2.73.............89
5..6...........17.8.....3...4.1237.....456......789.............7..3......9.....5
5..6...........17.8.....3...4.1237.....456......789.......3.....7.........9.....5
5..6...........24.8......3..4.123......456......789.............7.23..1.........5
5..8...........1....9....3....123.9..8.456......789....1....2.8..3..............5
5.2.........6..17.............123...9..456..8...789....1.8.............9.......35
5.2.3...........7...1....9....123.6....456......789.......1...8.76..............5
5.6............1.........3....123.6....456....1.789.....23......7....9.....6....5
5.6............17.2......3....123.....2456..8...789.............7.....1.....6...5
5.6.9....9......7........3...4123......456......789.........9.8......5....23.....
5.8.........6..17.............123...9..456..2...789...........9.7.2...........3.5
5.8.........9..17...........96123......456......789.........3.8.7.2...........6..
5.9.........8...7.2......3....123...9..456......789...........9.7.3.....6.......5
5.9.6....6......7........3...4123......456......789.........6.8......5....23.....
51..........3...7.............123...9..456..1...789...........4.738...........9.5
52..4...................93....123...2..456..8...789.............13........7.6...5
52..4.....9.....7........3....123.....8456......789..2....6...8.73...............
52..4.....9.....7........3....123.....8456......7892............73..........6.4..
53.............1.....6...7....1234..9..456......789....17..........3...........95
53.............1.....6..4.....123......456......789..3.9......8.74..........3...5
53.............1.....6..4.....123......456......789..3.9..3...8.74..............5
53..........2...7........3...7123......456......789.....3.....8.71.........6....5
53..........6..1........4.....123......456......789..3.9......8.71..........3...5
53..........6..1........4.....123......456......789..3.9..3...8.71..............5
54............21.............71236.....456......789..........58..3..1.....2....9.
54............217.............123...9..456..3...789...........4..7........2...9.6
58..............7.......13...7123.4....456......789...........8.73..........6...9
59..........2...7........4....123...9..456..3...789...........9.72............6.5
59..........2...7........8....123...9..456..3...789...........9.72............6.5
6...4..........17..1.....3....123...2..456......789.....8.....6.73..............5
6...4.....1....97.............123...9..456..2...789.....3.....4.7...........6...5
6..51...........7........3....123...9..456..1...789......6.......3..7.....2.....5
68.............1........73...7123......456..8...789.............73........9.6...5
69..............7.......13...7123.4....456......789...........8.73..........6...9
8...............7........31...123...2..4568.....789....1........7..9........6.2.5
8...4.....3....97.............123......456.1...2789...........8.7...........6.2.5
8...9...........7........3...7123.6....456.....1789...........8.73..........1...5
94.............1........73...7123......456..9...789.......6...8.73........2......
.......94.........62..........1237..9..456......789.......6..5...4...2...1....6..
..........1.9..7...26.........123...8..456...6..789....7.5............9........86
.......89.5.......6...........1235..8..456......789.......6..4...9..8....1....7..
.......89.5.......6...........1235..8..456......789.......6..7...9..8....1....4..
...3..1....2........9...5.....1234.....456.2....789...17.8............9.3........
...3..1....8.....7..9.........123......456.8....789..517.............29.3........
...3..1....8.....2..9.........123......456.8....789...17...........4..9.3.....7..
...3..1....8.....5..9.........123......456.8....789...17...........4..9.3.....7..
12.......3.....6.....2..5.....123......456......789.....5....3...49....2........1
69.......7...............48..4123......456......7896....5.3...........2.......9.6
13.....7.7............4.......1234.....4562.....789.....5.......24.............91
17.....9.9............4.......1234.....4562.....789.....5.......24.............71
1....7.8.9............4.......1234.....4562.....789.....5.......24.............71
1....7.8.3............4.......1234.....4562.....789.....5.......24.............71
1....7.8.6............4.......1234.....4562.....789.....5.......24.............71
.......186.......7.4..........123...1..456......7893....8.1.....2....4.........6.
......2...46..8....8.......7..1235.....456......789..........98...2.........7...6
......4..5.2.....6..93........123....3.456......789....1..6.....4..............29
.......85.9..7................1239..8..456......789..........6..35..8....2....7..
.......75.9.8.................1239..7..456......789..........6..35..7....2....8..
.......85.9..4................1239....8456......789..........6..35..8....2....4..
...3..1.56..........9.......5.123......456......789.2..3.5.....8......9......1...
93.......7.....8......1.......1235.....4561.....789..........9..51...........4.6.
1.......2.....4......5.....8..123......456......789.4......87....4....6...5.....1
.....14....2...8..9...........123......4561..6..789....4...........6...9..1....7.
.......65........9..13.......7123......456......7893...........8..2.....59......6
...........1.....7.....5.3....123.9...84562.....789..............2...1.8.3...7...
...........1.....7.....5.3....123.9...84562.....789.........1....2.....873.......
......6.........3..715.......5123......456......7894..6....4....2.....5.........1
................1..9.5..6....4123......456......7895.......2.4..5......168.......
59.......8......2....3...1...4123......4567.....7895.......58....1...............

14........3.............57....123..4..7456.2....789.....6.............8....3....1
1..2.....8...............5....123......456.7.2..789.........1.3..6..7.....4.....2
1.....8...........9....2.....6123.....2456......7891....58.............9.......32
13.......7.....5.......48.....123......4561.....789.....8..............7....7..36

........1..2.....58...37......123......456...4..789.....15.....6.....3........9..
.......81.5............8..7...123....3.456......789.....1.4.......5..4....8...3..

14.5...........6..3.....2.....123......456.....5789...9.6..2...........1........4
1........78....6.....5..4.....123.....3456......789..........8...4....2......8..1
12......53............4.9.....123......4567.....7896....6........9.........3....1

111 Horizontal Line 9plus12s - EDIT and two more is 113 and two more is 115 and two more is 117 and two more is 119
and two more is 121 ............... and one more is 122
Hidden Text: Show
Code: Select all
123456789.......1.....3................1...2..36..............5.....76.348.......
123456789.......1.....3................1...4..36..............5.....26.328.......
123456789.......1.....3................1...4..36..............5.....76.328.......
123456789.......1.....3................1...4..36..............5.....96.328.......
123456789.......1.....3................1...4..36..............5.....96.378.......
123456789.......1.....3................1...9..36..............5.....76.328.......
123456789.......1.....3................1...9..36..............5.....76.348.......
123456789.......2.....3................2...9..36..............5.....76.348.......
123456789.......4.....3................2...7..36..............5.....96.328.......
123456789.......4.....3................9...1..36..............5.....76.398.......
123456789.......4.....3................9...2..36..............5.....76.398.......
123456789.......1.....3................2...4..36..............5.....76.328.......
123456789.......1.....3......5.9.....6...8.2................3.5.8...7........1...
123456789.......1.....3......5.9.....7...8.2................3.5.....7....8...1...
123456789.......1.....3......5.9....6....8.2................3.5.....7...8....1...
123456789.......1.....3......5.9....7....8.2................3.5.....7...8....1...
123456789.......1...4.3........9....6....8.2................3.5.....7...2....1...
123456789.......1...4.3........9....6....8.2................3.5.....7...8....1...
123456789......1....4.........1........278.....9.....6.1............3..4.7.......
123456789......1....4........9.....6...178......2......1............3..4.7.......
123456789......1....5.........1........278.....9.....6.....3..5.1........7.......
123456789......3.....2.......5..........786..4.2..............5........4.7...3...
123456789......3.....2.......5..........789..4.2..............5........4.7...3...
123456789......1.....2.......5..........789..4.2..............5........4.7...1...
123456789......1.....2.......5.....2....7.........1..3........543...9....1.......
123456789......1.....2.......5.....2....7.........1..6........5.1.......36...9...
123456789......1.....2.......5.....2....7.........1..6........5.1.......96...3...
123456789......1.....2.......5.....2....7.........1..6........546...9....1.......
123456789............2.....2.......57..9..........8.3...8..7...........4.....12..
123456789.......5.4..........5....63............2....8..8.6............4.....12..
1234567897............9..............49...........2.7.8...67...........4.....12..
1234567897............9..............49...........8.7.8...67...........4.....12..
1234567897............9.....45....................2.7.8...67...........4.....12..
1234567897...........2..5..2.5....................3.7...8..7...........4.....12..
123456789............21..........1.4..6..9...........22.........8...3.7........5.
123456789............21.........86............1.....246.8..3...........1.......5.
123456789........5....1.........8.7..4....1...5.........8..............46.7..2...
123456789.......3....21.........8...6........41......2..8..7...........4.......1.
123456789.......3....21.........8...6........45......2..8..7...........4.......5.
123456789.......3.5...9.........8............49......5..8..7.......1...4.3.......
123456789.......4.....1....7.4......6............8...2...3.7....9......1.....4...
123456789......2......13........8...6........41......2..8..7...........4.......1.
123456789......5......2........8....69......34..........8..7......6....4..5......
123456789......5......3........8....69......14..........8..7......6....4..5......
123456789.....7.3..6............8.......3...64.......273...................2....1
123456789.....9.........3........5..6....4...49.........8.............14..5.3....
123456789....9..3....2.......1..3..................9.26....7.1..9....5...........
123456789..8..........1.........83...1........5.........4..7.........6.2.......51
1234567896...........2..........41....2.......59......3....7..........1........52
1234567897............8........286...........45.......3.6..7...................58
1234567898...........2..........41....2.......59......3....7..........1........52
123456789.....2...7.......1....9.....8.....2..6.....4.9...7...5.......6..........
123456789....9....4..........9....36...1.............8..8.6...........4.....2.1..
123456789....9....4..........9....62...1.............8..8.2...........4.....6.1..
123456789....9....4..........9....26...1.............8..8.6...........4.....2.1..
123456789....8....4..........1....56.......9....2.......5.9.......3..2.4.........
123456789.......1.....3.....5....4..2....9.7...........4....3.5.........8....1...
123456789.......1.....3.....5....4..9....8.7...............23........5..8....1...
123456789.......1.....3.....9....4.......8.2............6...3.......25..8....1...
123456789.......1...4.3........7....8....9.6.......5....7...3.......8........1...
123456789.......1...4.3........7.....8...9.6.......5....7...3.......8........1...
123456789.......1...4.3........7....86.....2.......5....7...3.......8........1...
123456789....1...........6.7.8........6..........4...1...6.7....5...9..2.........
123456789...........4.3......5.1...4.....7.6..................5.8.......76...8...
1234567899......1.....3......5...4.......8.6...7............3........5..8....1...
123456789...1.............3....9.........3...6.....4........62...5.......39.8....
123456879.............3........68.1...4....2...5............3.5.....9...7....2...
123456789..........6..3....7.8........4..........9...3...8.7.1..9............1...
123456789.......1...6.3..........5..9...81..........4...5...3.......9........7...
123456789.......31...........9.81.............5....4....1..8....4....5..........6#mauricio
123456789........1...2.......8..1.........4.5.........54....2.....7.8.6..........
123456789........1...2.......8..1.........4.5.........54....2.....7.3.6..........
123456789........1...2.......8..1.........4.5.........54....2.....8.7.6..........
123456789........1...2.......8..1.........4.5.........54....2.....3.7.6..........
123456789........1...2.......8..1.........4.5.........54....2.....8.7.3..........
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123456789........1....2.........1........9....5....2......6.5..9.....3....4..7...
123456789........1....2.........1........9....5....2......7.5..9.....6....4..3...
123456789........1....7.........1.96........8..5......6....2.........54...8......
123456789........1....7.........1.36........8..5......9....2.........54...8......
123456789........1....2.........1.....5...2....9..8......63.5..8.......7.........
123456789........1..5.3....79...1..........4.8.............7......8.......4....5.
123456789........1..5.3....79...1..........4.8.............7......8.......4....3.
123456789........1..5.3....97...1..........4.8.............7......8.......4....3.
123456789........1..5.3....97...1..........4.8.............7......8.......4....5.
123456789........1..53..........1.....8....3......9...7.....9.6...8.......4......
123456789........1..........6...1..........3...9...54......7..2.......6...53.....
123456789..8.....1..............1......3....854.............52...9..7..........4.
123456789..7.....1....8.......3.1..7.....9....5.......9.1............52..........
123456789.5......1...8.........21..............4....6.4.76.............2..9......
123456789........1...2.....9....1.........5........2......98....7......6.54......   
123456789........1.4..2.........1........7....5.....3.7........9...3........4..2.
123456789........1...2..........1.......89....6....4..8.1........4............6.7
123456789........1...2.......9..1.........45..........54....2.....9.7..3.........#mauricio
123456789....8...1.9..........2.1........7.....6....5......2..7.........8.5......
123456789........1..5.........8.1.............4....5..98..4........6.31..........
123456789........1..5.........8.1.............4....5..98..4........7.31..........
123456789........1..7.........8.1.............5....6..98..4........6.31..........
123456789........1....2.........1..7..2....5....9.................23..4.97.......
1234567897.......1.........6....1......3...4........3......7..6.842..............
123456789..8.....1....7.......3.1..8.....9...5........9.1............52..........
123456789..8.....1....7.........1......3.9..85........9.1............52..........
123456789........1...8.....9.4..1..................53......4..8.5.......73.......
123456789........1.8.......9....1.......7.32..........7.9.....6....2....5........
123456789........1....3.........1........92..7.5...3........5....6.......9...7...
1234567898.......1....3...........4........3.9....1....45...........98..........6
123456789........16............91........5...2.....3....9.......8..3.......2..6..
123456789.....2..1.............31..864..................1.8.......5...2.......6..
123456789..8.....1....2.........1.....7...42........6..6........4............7..8
123456789........1...2.......7.31.........54...........6.5..........7..34........
123456789........1..6.........7.19.....9.......5..........8.65.94................

123456789........1.....2....6....2.....89..................74..8.91............6.
123456789..9.....1..........4.8..................1...3.5...784.....3...........6.

123456789........1..............8..5..7...2....49.....5..............4..89...3...
123456789........1..............8..4..7...2....59.....4..............5..89...3...

123456789..9.....1...............25......1.....6.7.........9...4........25.....4.
123456789.7......1..............1.....5.........7.9..6....8.42........5..1.......

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123456789........1.....2........8..3.........47..........7...2...8....7...5.9....

123456789........14............956.......3....8.......9.....5.......2.....18.....
123456789........1....9.........1..........5..6.8.24.......3..7.4.......5........

123456789........1.....7................2...8..6....4.....3....5.....6..2..81....

C
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