#22 - 3 Tug of War puzzles (A new loop genre by me!)

Background on the genre  

These are 3 Tug of War puzzles. This is an entirely new loop genre that I created and fleshed out myself in the past week, as part of our Monthly Puzzle Prompt in the CTC Discord, which this month revolves around novelties. 

It is the first time I have put considerable thought into an entirely new puzzle genre, and it wouldn't have been possible without the help of some seasoned puzzlers, in particular Prasanna, Swaroop and Shogia.

The ruleset might take some getting used to, but should be accessible to anyone familiar with the basic loop genres. The 3 puzzles are meant to be an introductory set of puzzles, setting up some basic deductions that arise in this genre. Further exploration of clue patterns and more steep deductions is scheduled for the coming few weeks :)

Rules

Draw a single, non-intersecting loop that passes through all circles with arrows.

Clues indicate the difference between the total length of line segments going out of the clue in the direction of the arrow up until the first turn, and the total length of line segments coming into the clue, up until the first turn. For black clues, the leg going in the direction of the arrow must be greater, for white clues the leg going in the direction of the arrow must be smaller.

Grey clues indicate the leg going in the direction of the arrow must be either greater or smaller than the other leg. 

Not all clue values are necessarily given, in case no clue is given the length difference between the arrow leg and the other leg must be non-zero and follow black/white/grey clue properties.

Example puzzle and solution



Difficulty 2-3/5

Puzzle 1: 7x7 - Solve on penpa 




Puzzle 2: 9x9 - Solve on penpa



Puzzle 3: 12x12 - Solve on penpa







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