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Additive Multiplicative Crate
Corral Rules

Corral (also called Cave or Bag) is a logic puzzle. It is played on a rectangular grid, in which numbers appear in some cells.

Corral
Initial Corral puzzle.

Shade in cells so that each numbered square sees the same amount of unshaded cells equal to its number. All unshaded cells must form one loop and there should not be any shaded cells trapped within the loop.

Corral
Position with a single enclosed cell.

When there are shaded cells enclosed in in the unshaded loop, the enclosed shaded cells will be marked as red and it should be avoided.

Corral
Solution.
Multiplicative Rules

Multiplicative or product Corral is a variation of Corral.

Corral
Initial Multiplicative Corral puzzle.

Shade in cells so that a single closed loop remains that contains all numbers. Just as regular Corral this loop should not enclose any cells. Each number is the product of two numbers: the number of unshaded cells in the vertical direction (including the number square) with the unshaded numbers in the horizontal direction (again, including the number square).

Corral
Solution.
Crate Rules

Crate Corral is a variation of Corral. The solution may now contain isolated walls referred to as crates. Crates are always 1 grid square by 1 grid square in size and function like walls in that they “block sight”. The 8 spaces surrounding a crate are always inside the loop and do not contain other crates. In particular, a crate can never appear on the edge. Additionally, red-numbered clues may appear in the grid. Besides being required to appear inside the loop like ordinary clues, these numbers tell in how many of the four directions that square’s sight is blocked by a crate.

Corral
Initial Crate Corral puzzle.

Corral
Solution.