Logic Masters Deutschland e.V.

Diplomats In The Corner

(Published on 11. October 2021, 17:14 by Gankra)

(They can't validate the dots or regions, sorry!)

Rules:

Normal sudoku rules apply.

The grid must be divided (coloured) into orthogonally connected regions. Every region must contain exactly one large circle, and must contain the number of cells specified by that circle (e.g. the given 2 in the top-left says that its region must contain only one other cell). Digits may not repeat within a region. Every cell must be in a region.

White dots are either "citizens" or "diplomats". A dot is a diplomat if the two cells it separates are in different regions. (Otherwise it's a citizen.)

  • Citizens obey the law: Cells separated by a citizen must have consecutive values. (It's the law!)
  • Diplomats break the law: Cells separated by a diplomat must never have consecutive values. (What's the point of having diplomatic immunity if you're not going to break the local laws?)
  • Diplomats make peace between regions: Regions separated by a diplomat must sum to consecutive values (e.g. 5+3+2=10 and 1+2+3+5=11). (If the regions were perfectly balanced, the diplomats would be out of a job!)

Not all possible white dots are given. (Things may be incidentally adjacent if there's no dot.)

Example:

If you would like to get more comfortable with the colouring and diplomat rules, here is a small example puzzle where the digits are given, and only colouring remains:

Additional Notes:

This is the second diplomats puzzle. The first (easier) one is here.

This puzzle executes on the concept that originally got me interested in this ruleset. The break-in is pretty difficult as a result!

Solution code: The values of row 1 and column 9 (left to right, then top to bottom, r1c9 should be repeated).


Solved by kublai, CastleSheepside, kevinyoung90, Knitabit, marcmees, 10feet, nleanba
Full list

Comments

on 18. October 2021, 04:01 by 10feet
Really tough, but fair logic. It took me parts of several days to get through it, but was still an enjoyable solve.

on 12. October 2021, 12:19 by marcmees
very nice chaos construction puzzle. thanks.

on 12. October 2021, 01:01 by kevinyoung90
This puzzle was absolutely exceptional. It took me around 80 minutes because at the start, I was thinking that the regions had to be like "snakes." Even after the initial break-in, it was brutal. Beautiful puzzle and very satisfying solve.

Difficulty:4
Rating:N/A
Solved:7 times
Observed:4 times
ID:0007WG

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