Loop and Bounds
Loop and Bounds is a loop-drawing puzzle invented by Anurag Sahay. The puzzle originated from the idea of using loop segment lengths as clues, and during its development, Araf-style area clues were incorporated as a natural extension of this concept.
The first puzzle was created in mid-2019, with the ruleset later finalized and published on Puzzle Duel in 2021. The puzzle requires drawing a single loop that visits all cells, leading to familiar global constraints common to loop puzzles.
At the same time, the length-based clues enable deductions involving parity and segmentation, introducing a distinctive layer of reasoning. The combination of classic loop logic with numerical bounds creates a balanced puzzle that blends structural and arithmetic deduction in an elegant way.
The first puzzle was created in mid-2019, with the ruleset later finalized and published on Puzzle Duel in 2021. The puzzle requires drawing a single loop that visits all cells, leading to familiar global constraints common to loop puzzles.
At the same time, the length-based clues enable deductions involving parity and segmentation, introducing a distinctive layer of reasoning. The combination of classic loop logic with numerical bounds creates a balanced puzzle that blends structural and arithmetic deduction in an elegant way.
Rules
Draw a single continuous loop in the grid using horizontal and vertical line segments so that the loop visits every cell exactly once. It should not cross or overlap itself. The length of a loop segment between two numbers should be strictly between the values of these numbers.
Click to see the answer.