Hot Cages in Your Area
(Published on 20. May 2023, 11:00 by ViKingPrime)
PUZZLE:
RULES:
Normal Sudoku rules apply.
• Killer: The value of digits within a Killer cage must sum to the number in the top-left corner. Digits must not repeat within a Killer cage.
MODIFIER:
• Cage Ambiguity: The nature of each Killer cage must be determined by the solver.
• Overlapping Cages: Killer cages may share digits; no more than two cages may overlap the same cell.
• Hot/Cold Cages: Killer cages are either a "Hot" or "Cold" cage
for Killer values
Hot cages increase the value of each cell within the cage by 1
Cold cages decrease the value of each cell within the cage by 1.
Note: The colour of each cage has no bearing on its nature; it is a means of differentiation and clarity only.
INTRODUCTION:
These cages are waiting to be solved. Click below.
Here are the other entries in the "Hot/Cold" series, for those interested:
Mexican Train (Killer/Kropki)
Reversing Valve (Killer/Thermo)
Here are some puzzles from other setters using a similar constraint:
Hot and Cold by brennan77
Hot and Cold Cages by brennan77
Have fun!
Solve in f-puzzles!
Solve in SudokuPad!
Note: Due to a rare coding issue I am unable to provide a link with an inputted solution.
Solution code: The digits along Row 6, left-to-right, then along Column 7, top-to-bottom.
Last changed on on 20. May 2023, 23:21
Solved by pandiani42, Xalothros, efnenu, Paquet Voleur, topoi, Otterwatch, Jaych, Slink, vitaminz, KyubiBoy, Sewerin
Comments
Last changed on 21. May 2023, 18:03
on 21. May 2023, 17:06 by topoi
Can you clarify the rules? Does every cage have to be either hot or cold? Or can some of the cages be normal?
Also, if two hot cages overlap in a single cell, is that cell's value increased by 1 or by 2? If a hot and a cold cage overlap, do they cancel each other out?
Edit: Figured out the "overlapping" rule just by doing the puzzle and seeing that it logically entails a rule for overlaps. Very nice puzzle.
