Place the digits 0 to 9 once into each row, column, and 3x3 box. One cell in each row, column, and box is an S-cell containing two digits. The value of an S-cell is the sum of its digits; no two S-cells contain the same pair of digits. Fog covers some cells, and will be cleared when a correct single digit is placed in a cell; S-cells do not clear fog.
Renban loops contain a set of consecutive values in any order. Each loop is a different color of thick line, and does not cross or intersect itself.
The value in a circle is equal to the sum of the values along the attached arrow. Each arrow is a different color of thin line, and does not branch.
The values surrounding an X sum to 10, and the values surrounding a V sum to 5. A cell with a grey square contains an even value.
Online solver: SudokuPad
Solution code: The digits in column 7 (with the S-cell's digits entered in increasing order)
on 17. August 2024, 09:21 by lomonocrat
Great puzzle! Difficult but rewarding.
on 11. August 2024, 17:47 by Deino42
Brilliant puzzle. It’s one of the hardest I’ve completed, but every step of the way was entertaining.
on 10. August 2024, 07:32 by rameshsrivats
Fantastic puzzle. An all-time great.
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Thank you so much! -Darth