Counting instances with criteria but if dates are sequential count as one

[ncONcheA]

I have a table that I am trying to have a column that counts the number of instances someone is out of the office. However, if the dates are sequential excluding weekends and federal holidays, to count as one instance.

[Bernie Deitrick]

Use a column of formulas to identify blocks of dates, as in the attached. You need to list your holidays in the holidays area highlighted on the sheet.