I've already set one skeleton Sudoku. Here's a rather harder one. (Nonetheless, it should be within the realms of what can be done by hand; I solved it manually myself to verify that there was only one solution. Actually, I got pretty good at solving these, because it took me something like 5 or 6 attempts to find a puzzle whose solution was unique, learning more each time about what sort of patterns would allow multiple solutions to exist…)
Here's the grid:
In case you can't see images: I shaded a1, b1, e1, d2, c3, e3, and c4.
And here are the rules (basically the same as before, but hopefully stated a bit more clearly):
- Following the grid lines, separate this puzzle into five contiguous regions of five squares each, and also place a digit from 0 to 4 inclusive in each square, so that:
- (Generalised) Sudoku property:
- Each horizontal row must contain one each of 0, 1, 2, 3, 4;
- Each vertical column must contain one each of 0, 1, 2, 3, 4;
- Each of your regions must contain one each of 0, 1, 2, 3, 4.
- Palisade property:
- Each shaded cell must contain a number equal to the number of edges of that cell which are region borders. (This is the same meaning that numbers have in a Slitherlink puzzle.)
- Equivalently, the number on each shaded cell must be the number of adjacent cells that are either in a different region, or outside the map.
- (Generalised) Sudoku property: