The Hadoku Rules

Hadoku is almost the same as Sudoku but with a twist: a number can appear multiple times in a row (or column) if the distance between the two cells is big enough.

Here is a sample puzzle and its solution:

1
31
45
1673
1231
2312
4151
1673

Look at the two yellow fields. Multiple cells with a 2 can be in the same row if two (or more) cells are in between. More...