Oh dear! Even with the spoilers I had trouble with the Saturday puzzle.
prpr seems to be better at them than me, I sometimes have to stare at it for quite a long time before I spot an "obvious" (in hindsight) chain of logic... even something as simple as "only one in that row can have a 5 in it".
Back to (lots of) trial(s) and (many) error(s).
Yes, I've had to do that in the past but trial-and-error has now been supplanted by chains of logic, for which I use "notes" in the form of dots. To illustrate:–
Setting a convention for the position of a note annotation:
...the actual numbers can be replaced by dots in the equivalent locations:
...and crossed if later proved to be impossible. So the following represents a box where 2,4,5 were originally thought possible, but 2,5 became discounted therefore the box must contain 4:
(I'm not saying this is
the way to do it, just the way I happen to do it.)
Where does this get us? Well, I might not have needed these notes at one time, when my mind's eye visual memory was better, but they now act as a replacement for my mind's eye so I can make deductions. For example:–
Suppose the existing numbers and "greater than" signs produces the following notes for a row (or a column):
Boxes 1 and 3 eliminate 2 and 5 from box 2, boxes 4 and 5 eliminate 3 and 4:
...so box 2 must contain "1".
Apologies if that's teaching grandmothers to suck eggs. Even with the notes, it can take me a while to spot eliminations.