## Sunome Variations

The main challenge of a Sunome puzzle is drawing a maze. Numbers surrounding the outside of the maze border give an indication of how the maze is to be constructed. To solve the puzzle you must draw all the walls where they belong and then draw a path from the **S**tart square to the **E**nd square.

The walls of the maze are to be drawn on the dotted lines inside the border. A single wall exists either between 2 nodes or a node and the border. The numbers on the top and left of the border tell you how many walls exist on the corresponding lines inside the grid. The numbers on the right and bottom of the border tell you how many walls exist in the corresponding rows and columns. In addition, the following must be true:

- Each puzzle has a unique solution.
- There is only 1 maze path to the End square.
- Every Node must have a wall touching it.
- Walls must trace back to a border.
- If the Start and End squares are adjacent to each other, a wall must separate them.
- Start squares may be open on all sides, while End squares must be closed on 3 sides.
- You cannot completely close off any region of the grid.

In addition, these variations of Sunome have the following extra features:

- Paths (borders with a hole in the middle) designate places where the solution should pass through.
- Pits (black squares) designate places where the solution does not pass through.
- Portals (circled letters) designate places where the solution should pass through and teleport from one portal to the other.
- Sunome Cubed is solved similarly but on the surface of a cube. The numbers on the top right, top left, and center left of the border tell you how many walls exist on the corresponding pairs of lines inside the grid. The numbers on the center right, bottom right, and bottom left of the border tell you how many walls exist in the corresponding pairs of rows/columns.

Examine the first example, then solve the other three puzzles.

**SOLUTION**

The solutions are shown below.