Logic Masters Deutschland e.V.

This puzzle was set for the third round of Agent's puzzle championship. I found some very interesting u-bahn logic that can only exist in certain grid shapes, and I hope you appreciate it!

Permaculture: Divide the grid into three orthogonally connected areas. One area is a u-bahn network, one area is a nurikabe, and one area is a fillomino.

U-bahn: Draw an orthogonal, totally connected loop network through the centers of all cells in the u-bahn area, 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.

Nurikabe: Shade some cells in the nurikabe area such that all shaded cells are orthogonally connected and do not form any 2x2 areas. Each orthogonally connected region of unshaded cells contains exactly one number, which indicates the size of its region.

Fillomino: Divide the fillomino area into regions such that no two regions of the same size are orthogonally adjacent. Draw edges between each region, and place into each cell a number indicating the size of its region.

Notes: Cells with digits may not be a part of the u-bahn region, and cells with digits may not be in the shaded part of the nurikabe region.

Click the puzzle to play!