This is a yin-yang puzzle: shade some cells such that both shaded and unshaded areas are, each, fully orthogonally connected and no 2x2 area is fully in a single region.
The digit in the cell an arrow originates from (points away from) indicates the total number of cells in that direction that belong to the opposite region.
e.g. If r1c4 was a 2 and an arrow pointed down from that cell, then there would be exactly 2 cells in that direction that are not in the same region as r1c4.
You can play GPT stumper on f-puzzles or CtC.
Long handed instructions, given to ChatGPT to test logical reasoning, both ChatGPT 3 and 3.5 fail to apply relevant logic:
Given a 4x4 square where each cell may belong to one of two regions. All cells of each of the two regions must be orthogonally connected. Digits 1 to 4 appear only once each in each row, column, and any of the 4 2x2 square areas defined by the first/last two rows/columns. Lastly, no 2x2 square may be completely in a single region.
Using the notation where an arrow points from a cell in a given direction, the digit in this cell indicates the number of cells in that direction that are in a different region to this cell, in the same row if the arrow is horizontal, or the same column if vertical, there are 6 arrows given as follows:
Solution code: Digits in row 4 from left to right
on 20. January 2024, 01:29 by SimplePurpleFrog
Link to Anti Knight - Thermo
on 16. January 2024, 19:38 by ave
I didn't find it trivial. Good fun!
on 8. January 2024, 22:38 by superfluid
Found the break in tough but lovely flow thereafter. Thanks!
on 29. November 2023, 03:20 by SimplePurpleFrog
Link to Little Killer
on 22. October 2023, 02:57 by SimplePurpleFrog
Added link to RC indexing
on 21. October 2023, 02:40 by SimplePurpleFrog
Added link to thermo-renban
on 19. October 2023, 23:59 by SimplePurpleFrog
Added link to anti-knight kropki
on 17. October 2023, 18:24 by SimplePurpleFrog
Link to arrow-thermo
on 17. October 2023, 02:32 by SimplePurpleFrog
Added link to killer sudoku
on 16. October 2023, 02:18 by SimplePurpleFrog
Added link to Kropki sudoku
on 15. October 2023, 01:39 by SimplePurpleFrog
Added link to beginner Arrow sudoku
on 13. October 2023, 17:14 by Solved647
Nice intro to this type of puzzle. Thanks
on 13. October 2023, 15:39 by ViKingPrime
Fantastic little puzzle! Yin-Yang puzzles usually turn my brain to jelly, good intro to the logic with this one.
on 13. October 2023, 03:23 by SimplePurpleFrog
Added link to beginner thermo
on 26. April 2023, 14:22 by Rollo
Eine gute Idee, damit ChatGTP zu quälen ;-). Hast du es schon einmal mit sehr einfachen Regeln probiert? Sobald ich ein bisschen Zeit finde, werde ich das mal auf Deutsch versuchen.
SPF> Now I have: https://logic-masters.de/Raetselportal/Raetsel/zeigen.php?id=000FGT
on 16. March 2023, 04:09 by wooferzfg
Cute puzzle, thanks
SPF: very welcome, thank you for your comment
Please note: The German version of this page has changed. It is possible that this page does not contain the latest information.