The square grid is divided into "rooms" of various shapes; some of these rooms contain a number. The object is to draw a closed loop in the grid, entering and exiting each room once. A room with a number must have that many squares used by the loop (a room without a number may have any number of its cells used). Lastly, orthogonally adjacent unused squares must not be in different rooms.
Strategies
Rooms with given numbers of cells are often a good starting point, especially if they have as many cells used as cells in that room.
Rooms that are only adjacent to two other regions must connect to those two other regions. If those two other regions connected, that would form a smaller closed loop than required, so they cannot connect with each other, and so one can mark any common borders of those rooms as "unused".
Marking in impossible places for loop segments can eventually lead to certain cells being unused, and so orthogonally adjacent cells in other regions being used.
As with many loop puzzles, a corollary of the Jordan Curve Theorem (i.e. any two closed loops must intersect an even number of times) can help determine whether a loop segment is used or not.
Variants
In one variant of Country Road, not all rooms must be used. Naturally, all cells next to an unused room are part of the loop.
