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Slitherlink Rules

Hidden Description
.-------------------------------.
| .   .   .   .   .   .   .   . |
|       3           3   3       | 7
| .   .   .   .   .   .   .   . |
|   2       1       2       2   | 6
| .   .   .   .   .   .   .   . |
|   3       1       2       2   | 5
| .   .   .   .   .   .   .   . |
|   3           3   2       3   | 4
| .   .   .   .   .   .   .   . |
|   2           2   2       2   | 3
| .   .   .   .   .   .   .   . |
|   2       2       2       2   | 2
| .   .   .   .   .   .   .   . |
|       3   1   1   2   2       | 1
| .   .   .   .   .   .   .   . |
'-------------------------------'
    a   b   c   d   e   f   g    JCO#1 (Slitherlink; proposed Jul 17, 2024)

Slitherlink puzzles are puzzles presented in a N by N board in which each cell
has its corners identified by dots. Some cells contain numbers that indicate
how many of its edges must have a line (how many edges must be activated).
Cells with number zero cannot have any edge activated and cells without number
can have from 0 to 4 edges activated.

The goal of the puzzle is to connect adjacent dots with vertical or horizontal
lines to make a single loop. The loop never crosses itself and never branches off.

In the grid (see above), columns are labeled using letters from left to right
and rows are identified with number starting at the bottom.
These identifications are made to enable the notation of moves.

.-------------------------------.
| .   .   .   .___. x .___. x . |
|     | 3 |       | 3 | 3 |   x | 7
| . x .   .   . x .___. x .   . |
|   2       1     x 2 x     2   | 6
| .___.   .   .   .___.   .   . |
|   3       1       2       2 | | 5
| .___. x .   .   .   .   .   . |
|   3           3   2     | 3   | 4
| .___.   .   .   .   . x .___. |
|   2           2   2     x 2   | 3
| .   .   .   .   .   .   .   . |
|   2       2       2       2   | 2
| .   .   . x .   .   .   .   . | 
|       3 | 1 x 1   2   2       | 1
| .   .___. x . x .   .   .   . |
'-------------------------------'
    a   b   c   d   e   f   g    JCO#1
  
(3t)f7 and (3r)f7 denote the activation of edges at the top (t)and right (r)
of the cell (3)f7. (xt)g7 means that the top of cell g7 (without number) must
be inactive ("no line"). Also, (x3t)e7 means that the cell (3)e7 must have the
top edge inactive.

The solution for puzzle JCO#1 is

.-------------------------------.
| .   .___.   .___.   .___.   . |
|     | 3 |   |   | 3 | 3 |     |
| .   .   .___.   .___.   .___. |
|   2 |     1       2       2 | |
| .___.   .   .___.___.   .   . |
| | 3       1 |     2 |     2 | |
| .___.   .   .___.   .   .___. |
|   3 |         3 | 2 |   | 3   |
| .___.   .   .___.   .   .___. |
| | 2         | 2   2 |     2 | |
| .   .   .___.   .___.   .   . |
| | 2     | 2     | 2       2 | |
| .___.   .   .   .   .   .___. |
|     | 3 | 1   1 | 2   2 |     |
| .   .___.   .   .___.___.   . |
'-------------------------------' JCO#1
    

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