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Snake (Striped, Length, Ends) (872)
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 loop around to 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.)
The cells of the snake are numbered with consecutive numbers starting with 1, along the body of the snake. The head, tail, and middle of the snake are given.
The snake is colored in an alternating black-and-gray pattern, one color per cell. The head and tail of the snake are black. Numbers to the left of the grid, if given, indicate how many cells in that row are black. Numbers to the top of the grid, if given, indicate how many cells in that column are gray