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Loop the Loop (also known as Slitherlink) is a logic puzzle game played on a grid where some cells are blank, and others contain a number between 0 and 3, called a "clue". The goal is to draw a single continuous loop around the grid by following these rules:
Note: Only the "active" edges matter for the solution. "Hidden" is just a way to keep track of edges you want to exclude.
Here are examples of the three states that the edges can be in:
Unmarked
Active
Hidden
Here are the different clues that a cell can have:
Try to identify common patterns in the "active" and "hidden" segments, based on the positioning of the clues. For example, see if you can figure out which edges must be "active" when we have diagonally adjacent squares having the "3" clue.
Each puzzle has only one solution. If you find yourself with two equally valid but separate sets of segments, it means an earlier choice was incorrect.
For example, this situation means that one of previous choices was wrong, as it has two separate possibilities that are both valid.
"Loop The Loop" is a popular puzzle first developed by "Nikoli" under the name "Slitherlink". I came across it in a newspaper, alongside other puzzle games such as Sudoku and Kakuro, and had a lot of fun learning and solving it. Wikipedia is an excellent starting point to learn about it and to learn more tips for solving it!