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Kakuro (Small Snake) (1133)
Instruction:
Place a digit from 1 to 9 into each white cell. The numbers in grey cells indicate the sum of digits in the adjacent “word” across or down. (Across "words" are to the right of their sums, Down "words" are below their sums.) Digits may not repeat within a "word".
It is possible for some "words" to not have a provided sum.
All white cells that you put the digits 1, 2, 3, or 4 in must form the shape of 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.)
A rounded square in a cell (when provided) indicates an end of the snake.