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Distribution v1.0, copyright (c) 2006 Lord Ruslan Nightmare
Distribution v1.0 comes with ABSOLUTELY NO WARRANTY; for details see license.txt
This is free software, and you are welcome to redistribute it
under certain conditions; for details see license.txt

Beginning calculations...
Base matrix
1 4 6 3| 1 0
9 7 10 9| 1 0
4 5 11 7| 1 0
8 7 8 5| 1 0
------------+
1 1 1 1
0 0 0 0

Base matrix with nullified rows
0 3 5 2| 1 1
2 0 3 2| 1 7
0 1 7 3| 1 4
3 2 3 0| 1 5
------------+
1 1 1 1
0 0 0 0

Base matrix with nullified columns
0 3 2 2| 1 1
2 0 0 2| 1 7
0 1 4 3| 1 4
3 2 0 0| 1 5
------------+
1 1 1 1
0 0 3 0

'No alternatives' matrix marks
. |
. - |
- |
- .|
------------+



'No alternatives' matrix
0. 3 2 2 | 1 1
|
2 0. 0- 2 | 1 7
|
0- 1 4 3 | 1 4
|
3 2 0- 0.| 1 5
|
----------------+
1 1 1 1

0 0 3 0


Matrix marks
. |
. - |
- |
- .|
------------+



Marked matrix contents
0. 3 2 2 | 1 1
|
2 0. 0- 2 | 1 7
|
0- 1 4 3 | 1 4
|
3 2 0- 0.| 1 5
|
----------------+
1 1 1 1

0 0 3 0


Marks of matrix with marked rows/colums
. | .
. - | .
- |
- .| .
------------+
. . .


Matrix with marked rows/colums
0. 3 2 2 | 1. 1
|
2 0. 0- 2 | 1. 7
|
0- 1 4 3 | 1 4
|
3 2 0- 0.| 1. 5
|
----------------+
1. 1. 1 1.

0 0 3 0


Paired matrix marks
. | .
. - | .
- |
- .| .
------------+
. . .


Paired matrix
0. 3 2 2 | 1. 1
|
2 0. 0- 2 | 1. 7
|
0- 1 4 3 | 1 4
|
3 2 0- 0.| 1. 5
|
----------------+
1. 1. 1 1.

0 0 3 0


There's 3 marked nulls
It's not enough, we should modify matrix

Marks of matrix with pre-punctured rows/columns
. | .
. - |
- | .
- .|
------------+
.


Matrix with pre-punctured rows/columns
0. 3 2 2 | 1. 1
|
2 0. 0- 2 | 1 7
|
0- 1 4 3 | 1. 4
|
3 2 0- 0.| 1 5
|
----------------+
1. 1 1 1

0 0 3 0


Marks of matrix with punctured rows/columns
. | .
. - | -
- | .
- .| -
------------+
-


Matrix with punctured rows/columns
0. 3 2 2 | 1. 1
|
2 0. 0- 2 | 1- 7
|
0- 1 4 3 | 1. 4
|
3 2 0- 0.| 1- 5
|
----------------+
1- 1 1 1

0 0 3 0


Before modification
0 3 2 2| 1 1
2 0 0 2| 1 7
0 1 4 3| 1 4
3 2 0 0| 1 5
------------+
1 1 1 1
0 0 3 0

Min unpunctured submatrix element = 1

Modified matrix
0 2 1 1| 1 1
3 0 0 2| 1 7
0 0 3 2| 1 4
4 2 0 0| 1 5
------------+
1 1 1 1
0 0 3 0

'No alternatives' matrix marks
. |
|
- |
- .|
------------+



'No alternatives' matrix
0. 2 1 1 | 1 1
|
3 0 0 2 | 1 7
|
0- 0 3 2 | 1 4
|
4 2 0- 0.| 1 5
|
----------------+
1 1 1 1

0 0 3 0


Matrix marks
. |
. - |
- - |
- .|
------------+



Marked matrix contents
0. 2 1 1 | 1 1
|
3 0. 0- 2 | 1 7
|
0- 0- 3 2 | 1 4
|
4 2 0- 0.| 1 5
|
----------------+
1 1 1 1

0 0 3 0


Marks of matrix with marked rows/colums
. | .
. - | .
- - |
- .| .
------------+
. . .


Matrix with marked rows/colums
0. 2 1 1 | 1. 1
|
3 0. 0- 2 | 1. 7
|
0- 0- 3 2 | 1 4
|
4 2 0- 0.| 1. 5
|
----------------+
1. 1. 1 1.

0 0 3 0


Paired matrix marks
. | .
- . | .
- . |
- .| .
------------+
. . .


Paired matrix
0. 2 1 1 | 1. 1
|
3 0- 0. 2 | 1. 7
|
0- 0. 3 2 | 1 4
|
4 2 0- 0.| 1. 5
|
----------------+
1. 1. 1 1.

0 0 3 0


There's 4 marked nulls
Success! Elements marked with '.' is the solution
1. 4 6 3 | 0. 0
|
9 7- 10. 9 | 0. 0
|
4- 5. 11 7 | 0 0
|
8 7 8- 5.| 0. 0
|
----------------+
0. 0. 0 0.

0 0 0 0


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