This is the square info section. Click a number to toggle
whether it's a possibility for the current square. Click the eraser button to
reset the possibilities.
To narrow possibilities down more quickly, click the ☑ button and then
select numbers to rule in as possibilities (thus ruling
out every other number). Click ☑ again to confirm.
The faded out numbers are those that can't appear in the square because
they don't appear in any possible combination for the current cage.