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Rook Hidato (357)
Instruction:
Place a number from 1 to X (integers only) into each cell so that each number appears exactly once. (X is the total number of cells; grey areas are not cells.) Consecutive numbers (numbers that differ by 1) must be in the same row or column. If three consecutive numbers are in the same row or column, then the middle number must be between the other two. Some cells may already be filled in for you.
(In other words, the numbers represent the path of a chess rook that lands on every cell and never reverses direction.)