How to make dependent cells with checkboxes available for changing their state?

Question

Google Sheets

There is a table:


Cell A1 contains an independent checkbox:


Cells A2:A6 contain the formula =IF(A1;TRUE;""):


The task is as follows: you need to make sure that when you check the box in cell A1, cells from the interval A2:A6 also take the value TRUE (the checkbox was automatically set), but if the checkbox was not set in cell A1 (value FALSE), then in the cells from the range A2:A6 there was the possibility of manually changing the state.

The first condition is not difficult to make, but there are problems with the second.

Answer 1

Make two columns. In one manual installation, and in the other - automatic, taking into account manual.