Counting holidays

Good evening
I would need to modify a formula I use that counts on Saturdays even on holidays.
In the example attached to B1 I choose the month
I should count the max between columns E and F that contain at least one number 1
on Saturdays + holidays.
The result with just the Saturdays in cell E33 (4) I found I need the one in F33 including
Saturdays (4) + 2 Holidays Day 1 and Day 6 as from Holiday List in Column J.
Thank you