U-Bahn with Cages
by Jakhob and wooferzfg

This puzzle is a variant of U-Bahn.

If you are unfamiliar with U-Bahn, here is a guide that covers the core logic.

Rules

Draw a loop network through the centers of some cells, which may branch or turn, but may not have any dead ends.

A clue outside the grid indicates how many times the corresponding line shape (i.e. a cross, branch, straight line, or turn) appears in the corresponding row or column, irrespective of the line shape's rotation.

Within a cage, any cells that are visited by the loop network must have the same line shape, irrespective of rotation. Different cages may have different line shapes, and cages may be empty.

6x6 Example Puzzle

Play the Example on Penpa+

Play the Example on SudokuPad

Puzzle Links

Play on Penpa+

Play on SudokuPad