Kings, Queens, and Princesses

The numbers in this puzzle have a constraint I call anti-princess
Rules:
Ordinary sudoku rules apply. In addition, the number in a box tells you the minimum diagonal distance between another of the same number. In the below example, I have marked the boxes that cannot be 3's in magenta. You'll notice that 1's have no additional constraint and 9's will act like queens. Every other number will behave like something inbetween.
Enjoy!
try it here

Watch a solve from Mark Goodliffe here

R. Cameron Dennis, Ph.D.
R. Cameron Dennis, Ph.D.
Physicist | Quantitative Researcher | Data Scientist

Physicist specializing in quantitative modeling, machine learning, and complex systems. Passionate about bridging research with real-world applications.