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Dotted Snake (550)
Instruction:
Locate a “snake” in the grid. The snake is a path that starts in a cell, goes through some number of cells orthogonally, and ends in a cell. Each cell is used at most once by the snake. The snake may not touch itself, not even diagonally. (In other words, if two cells in the snake touch orthogonally, then they must be exactly one cell apart along the path of the snake, and if two cells in the snake touch diagonally, then they must be exactly two cells apart along the path of the snake.) Every third cell along the snake has a dot on it. Numbers outside the grid, if given, indicate how many cells in that row or column are occupied by dots.
Some cells are marked with a cross; the snake cannot use those cells. The three cells containing the start (cell 1), middle (cell 23), and end (cell 45) of the snake are provided
for you. Cell 45 of the snake is always a dotted cell.