Logic Masters Deutschland e.V.

My first love for paper-pencil puzzles was "Bridges" or Hashi puzzles. Though I have fallen away towards problems with more arithmetic like sudoku, I still enjoy them and wanted to combine them together, so here you go.

Normal Sudoku Rules apply

Also, the numbers in the circles represent 'islands' that must all be connected into a single network of horizontal and vertical bridges. Between any pair of islands is at most 2 bridges. The numbers on each island indicate the total number of bridges coming out of that island. Bridges may not cross each other. Some islands that appear right next to each other may still have (really small) bridge(s) connecting them.

The numbers to the left of the grid represent the sum of the numbers under the horizontal bridges in in that row. The numbers above the grid represent the sum of the numbers under the vertical bridges in that column. Note, islands that are next to each other may be connected by bridges that don't have any numbers under them.

The numbers on the bottom and right sides represent the total of the numbers under all bridges in that row or column. Important: if a number is under a double bridge, it will be counted double in these totals (but not the other totals). The diagonal total is also the sum of the numbers under all bridges in the diagonal, with some numbers doubled as necessary.

In the example above you can see all the bridges connecting the islands. Notice how the total number of bridges leaving an island is equal to the number in that circle. Notice the sums on the left and top, and larger totals on the right and bottom.

Here's the puzzle: