Crystality

(Published on 18. August 2026, 22:47 by gwai77)

The rules:

Place the digits 1 to 9 in each row, column, and 3x3 block without repetition.
Cells connected by a Dutch whisper line must have a difference of at least 4(Orange line).
Cells connected by a German whisper line must have a difference of at least 5(Green line).
For each line, digits on the line have an equal sum N within each box it passes through(Blue line).
Renban line contains a set of consecutive digits in any order, without repeats(Pink line).
Digits on a thermometer strictly increase as they move away from the bulb.
The digit in the gray circle is odd.
Cells separated by a white dot must be consecutive.
Cells separated by a black dot must have a ratio of 2.
Cells separated by a V sum to 5.
Cells separated by an X sum to 10.
Not all dots and XV are given.
Click the image to solve it on Sudokupad.