Logic Masters Deutschland e.V.

I was really inspired by Emre Kolotoglu's puzzle using X-Sums and Sandwiches in a similar fashion. I set a puzzle using numbered rooms just recently and that went really well. I was thinking how I could combine numbered rooms and skyscraper clues then remembered I loved kolot's idea.

Rules:

Normal sudoku rules apply.

All outside ? clues represents any digit between 1 and 9 inclusive.

Black outside clues give the number of cells sandwiched between the 1 and 9 in their row or column (not normal sandwiches) AND the numbered rooms clue AND skyscraper clue for their row or column from that direction. These clue values will be the same as they correspond to the same clue.

Red outside clues give only two of these three properties and therefore not one of them.

Skyscraper: Consider each digit in the grid as a building of that height. Clues outside the grid give the number of buildings that can be seen from that direction, with larger buildings hiding smaller ones.

Numbered Rooms: Clues outside the grid indicate the digit which has to be placed in the Nth cell in the corresponding direction, where N is the digit placed in the first cell in that direction.

An example is provided below to give you some intuition and clarification on the rules. Of course, in the example the sandwich is between 1 and 6 instead of 1 and 9. This example puzzle is solvable and links are provided: f-puzzles, CtC, Penpa+ (with answer check)

Main Puzzle Links:

f-puzzles

CtC

Penpa+ (with answer check)

If you enjoyed this puzzle, consider leaving a rating and comment or better yet recommend it to your fellow solvers! I hope you do so for all the puzzles you enjoy ;)

Also check out the puzzles/setters I linked in the first paragraph if you haven't already.