Mon, 16 Sep 2019

What are the solving strategies for arrow sudoku?

When solving arrow sudokus, it can be particularly useful (in a 9x9 puzzle) to see if there are any 9's that you can place right away based on the direction and location of the arrows.

If all but one cell in a region for instance lie along the path of an arrow and are not at its head, then none of those can contain 9.

One of the most interesting elements of solving arrow sudoku is that the circle cell and the path of the arrow interact - by updating the options for one you may find you can update the options for the other, and then those can again be used to update the circled cell.

In harder arrow sudoku puzzles, you may need to use the fact that you know a number must go inside the arrow but you don't know where, then use that to eliminate it from the rest of the region it fully intersects.

For instance if you know an arrow must contain 1,3,5 or 2,3,4 then you know it must contain a 3 somewhere. If that arrow is fully inside a 3x3 box region in the ordinary sudoku puzzle, then you can eliminate 3 from all other cells in the 3x3 box that are not along the path of the arrow.

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