Gokigen Naname

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Gokigen Naname is a binary-determination logic puzzle published by Nikoli.

[edit] Rules

Gokigen Naname is played on a rectangular grid in which numbers in circles appear at some of the intersections on the grid.

The object is to draw diagonal lines in each cell of the grid, such that the number in each circle equals the number of lines extending from that circle. Additionally, it is forbidden for the diagonal lines to form an enclosed loop. Unlike many of Nikoli's similar puzzles, such as Hashiwokakero, a single network of lines is not required.

[edit] Solution methods

Every cell must contain a diagonal line. Numbers in the corners or along the edges of the grid will have more obvious solutions. A circle with a 4 will always have the same solution, as will a circle with a zero.