Logic Masters Deutschland e.V.

This is my response to Scojo's setting prompt last week, for which the wheel spun Lots and Extra Regions. Thank you to several testers, which this time included my fiancée! Bonus points for working out why the puzzle order is slightly different depending on which link you click - and on that note, please let me know if you have a strong preference on presentation.



LOTS:
• A digit in a circle shows how many arrows (associated with that grid) can "see" it;
• A digit is seen if it is strictly greater than any digits between itself and an arrow pointing at it;
• No two circles within the same puzzle contain the same digit.

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0-3 SUDOKU:
• Fill each cell with a digit from 0-3 such that no digit repeats in a row, column or 2x2 box.

SOMEDOKU:
• Fill each cell with a digit from 1-4 such that, for each N, row N and column N contain N distinct digits;
• Rows are labelled from top (1) to bottom (4), and columns from left (1) to right (4).

FILLOMINO:
• Divide the grid into orthogonally connected regions;
• Fill each cell with a digit showing the size of the region to which it belongs;
• No two regions of the same size may border each other orthogonally.

VERTEX SLITHERLINK:
• Draw a line that travels only on cell borders;
• The line travels from the bottom left to the bottom right;
• Fill each cell with a digit showing how many of that cell's 4 vertices are visited by the line.