
Infer the rules behind a series of grid-based puzzles based on the unicity of each solution.



Here is an excerpt from FMTC's (a.k.a. From Muddled to Clean, From Muddied to Clear, etc.) instructions:
This is a series of logic puzzles. In every grid, the goal is to draw a loop. There will be certain constraints on the loop, however I won’t tell you what they are.
Your goal is to infer the rules and solve the puzzles. If you have done so correctly, each of the grids will have a unique solution. It will help you to use this fact to help you figure out the rules. If you form a guess about the rules that does not lead to a unique solution, then your guess is not correct.
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