Second Advent Sunday

Is it really already sunday again? Nala loved the lake we visited last week and was hoping that we would go on another lake tour this weekend. Well, her wish has been granted! And it even looks like there might be a little bit of ice on the lakes already? Maybe not enough to walk on it, but surely she could scratch and chew some on it. For some reason she seems to love the sound of ice breaking.

Normal Sudoku rules apply: Place the digits 1-9 in every row, column and box exactly once each.

Digits in a dashed cage must sum to the value in the top left corner of the cage. Digits may not repeat within their own cage.

Lake Tour Path: Help Nala find the path around the lake by following these rules: The path must be orthogonally connected and visit all cells of all cages. The path forms a loop (ie it has no start or end points). The path can touch itself diagonally, however it is not allowed to touch orthogonally (ie no cell on the path can share edges with more than two other cells on the path). Digits along the path alternate between odd and even.

Digits separated by a white dot are consecutive. Digits separated by a black dot are in a 1:2 ratio. Not all possible dots are given. (There is no negative constraint.)

Additionally the grid is partially covered in fog. Placing correct digits will clear the fog from surrounding cells, possibly revealing more clues.