Formulate an integer problem that solves the Slitherlink puzzle. explain how it

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->Slitherlink is played on a rectangular lattice (grid) of dots. ->Some of the cells Problem (squares) formed by four dots have numbers inside them. ->The objective is to connect horizontally and vertically adjacent dots so that the lines form a single loop with no loose ends. ->In addition, the number inside a square (cell) represents how many of its four sides must be segments in the loop. ->This number can be 0, 1, 2, or 3. If the square is empty, any number of lines segments (0 to 3) can be segments of the loop.

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