Counting Twenties
(Published on 20. July 2025, 02:40 by AlexanderRichards)
Normal Sudoku Rules Apply:
Place the digits 1-9 once in every row, column and marked 3x3 box
Cages:
Digits in cages sum to the total written in the top left corner.
All cages in this puzzle sum to a total of 20.
Digits in cages MAY repeat if allowed by other rules.
Kropki dots:
Digits separated by a black dot must be in a 1:2 ratio ie one digit is double the other.
No negative constraint applies: Orthogonally adjacent digits in cells can be in a 1:2 ratio without having a black dot sitting between them
For example, if a black dot sits between two cells in which one contains a 4, the other cell must necessarily either contain a 2 (half of 4), or an 8 (double 4)
Counting Circles:
A digit in a circle indicates how many times that digit appears in circles
For example: a 5 in a circle means that throughout the whole 9x9 grid 5 5's appear in circles in total, a 6 in a circle means that 6 6's appear in circles in total etc.
V's:
Cells separated by a 'V' sum to 5 - hence the Roman numeral.
No negative constraint applies: Digits in cells which are orthogonally adjacent can sum to 5 without a 'V' sitting between them.
For example: if a V was sitting between two cells in which one contained a 3, the other must necessarily contain a 2 for the pair to sum to 5.
Good luck and enjoy!
* This is my first puzzle, if you enjoyed please leave a comment and leave a rating :)
Play on SudokuPad: Click here!
Solution code: Column 1 from top to bottom (9 digits)
Comments
on 21. July 2025, 01:24 by AlexanderRichards
Sudokupad causes problems with digits repeating in cages, removed one of the unnecessary cages from the puzzle.
on 21. July 2025, 00:42 by AlexanderRichards
Changed to a sudokupad link
on 20. July 2025, 20:42 by AlexanderRichards
Updated the German version of this page
on 20. July 2025, 18:21 by AlexanderRichards
Changed link to interactive hyperlink
on 20. July 2025, 17:57 by GauravM
The rule, that digits may repeat threw me off.
AlexRichards: Haha yes it is a little more unusual but as you would have discovered only ends up affecting two cages in which the digits inside the cage don't all share the same box, row or a column.
on 20. July 2025, 15:19 by AlexanderRichards
Further improved formatting
on 20. July 2025, 15:15 by AlexanderRichards
Improved formatting
on 20. July 2025, 09:43 by Lego7656
Great first puzzle, enjoyed it a lot.
Rules for international audience:
* Standard Sudoku rules apply
* Cells separated by a black dot are in a 1:2 ratio
* Cages sum to the number in the upper left corner. Digits may repeat in a cage if allowed by Sudoku
* Cells separated by V sum to 5
* A digit in a circle indicates how many circles have this digit in the puzzle. i.e. a 5 in a circle means, that there are exactly 5 circles containing a five.
AlexRichards: Thank you for your comment, glad you enjoyed :)
on 20. July 2025, 02:49 by AlexanderRichards
Forgot to add link
