Normal Sudoku rules apply.
Help Rika Shimakura deliver a love letter from Canada to all her loved ones in Japan by drawing a path from r1c9 to r9c1. The path moves orthogonally and visits all 3x3 regions. Adjacent digits on the path must have a difference of at least 4. r1c9 and r9c1 are the only island cells on the path.
All cells are either island or water.
Each lavender cell is an island cell; the number in it is the number of cells in that island.
Each lavender island must consist of exactly one lavender cell, and a set of non-repeating digits that sum to the total in the lavender cell, if given. (r6c8's island total is a prime number).
r1c9 (Canada) and r9c1 (Japan) are non-lavender island cells. Both islands' digits have the same product. The digits on the flags are inconsequential.
Different islands may not touch orthogonally.
The water cells are orthogonally connected and may not contain any 2×2 areas of water.
Killer totals are not necessarily in the top left most cell of an island.
Sudokupad (HIGHLY RECOMMENDED FOR BEST EXPERIENCE)
Lösungscode: Column 8