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SQLFiddle , .
ServiceID, , BeginTime.
;with flat as
(
select StaffID, ServiceDate, BeginTime, EndTime, BeginTime as groupid
from services S1
where not exists (select * from services S2
where S1.StaffID = S2.StaffID
and S1.ServiceDate = S2.ServiceDate
and S2.BeginTime <= S1.BeginTime and S2.EndTime <> S1.EndTime
and S2.EndTime > S1.BeginTime)
union all
select StaffID, ServiceDate, BeginTime, EndTime, BeginTime as groupid
from services S1
where exists (select * from services S2
where S1.StaffID = S2.StaffID
and S1.ServiceDate = S2.ServiceDate
and S2.BeginTime = S1.BeginTime and S2.EndTime > S1.EndTime)
and not exists (select * from services S2
where S1.StaffID = S2.StaffID
and S1.ServiceDate = S2.ServiceDate
and S2.BeginTime < S1.BeginTime
and S2.EndTime > S1.BeginTime)
union all
select S.StaffID, S.ServiceDate, S.BeginTime, S.EndTime, flat.groupid
from flat
inner join services S
on flat.StaffID = S.StaffID
and flat.ServiceDate = S.ServiceDate
and flat.EndTime > S.BeginTime
and flat.BeginTime < S.BeginTime and flat.EndTime < S.EndTime
)
select StaffID, ServiceDate, MIN(BeginTime) as begintime, MAX(EndTime) as endtime
from flat
group by StaffID, ServiceDate, groupid
order by StaffID, ServiceDate, begintime, endtime