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This puzzle is a loop deduction puzzle, like Slitherlink and Masyu. It’s based mostly on the thought of balls rolling down hills – the clues right here give the gap {that a} ball can roll down.
The Puzzle
Customary Loop Deduction Guidelines
- There’s a single, closed, non-intersecting loop.
- There’s a distinctive answer.
Clue Guidelines
- There’s a ball at each quantity. The worth of the quantity signifies the deepest depth the ball might roll all the way down to. It should roll all the way down to this depth.
- Arrows point out path of gravity for the ball.
- Grid boundary stops the ball as if it had been a part of the loop, no matter whether or not there’s a loop section on the boundary.
Mechanics of Rolling Balls
- A ball can roll down any nook.
- A ball can not roll “up” (in opposition to gravity) a wall or alongside two “horizontal” (perpendicular to gravity) segments in a row (the hill could be too shallow!).
Listed below are a couple of examples of the ball rolling mechanic (gravity is downwards for all balls in picture):
The instance in crimson is an inconceivable scenario – the quantity signifies the deepest a ball might roll, however that ball might roll a depth of two if it went proper. The opposite examples have the trail of the deepest roll traced out in inexperienced.
Further
It ought to be solvable utilizing logical deductions slightly than guessing – you could have to show by contradiction, however you should not have to suppose far forward to take action. You should not have to make use of the individuality situation in your deduction.
I discovered this pretty troublesome to resolve, although I had the benefit of understanding what the answer could be. An honest a part of the issue, for my part, comes from the truth that it is arduous to cause concerning the boundary of the grid, since clues do not straight inform you about whether or not there may be an edge there. Typically in loop deduction puzzles, it is best to start out from the sting and work your manner inwards.
Hope you get pleasure from it! Please let me know if something is unclear.
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