Transact SQL :: Comparing Previous Records Based On Each ID Column

I have a scenario to compare previous records based on each ID columns. For each ID, there would be few records, I have a column called "compare", We have to compare all Compare 1 records with Compare 0 Records. If Dt is lesser or equal to comparing DT, then show 0. Else 1

We always only one Compare 0 records in my table, so all compare 1 columns will compare with only one row per ID

My tables look like

Declare @tab1 table (ID Varchar(3), Dt Date, Compare Int)
Insert Into @tab1 values ('101','2015-07-01',0)
Insert Into @tab1 values ('101','2015-07-02',1)
Insert Into @tab1 values ('101','2015-07-03',1)
Insert Into @tab1 values ('101','2015-07-01',1)
Insert Into @tab1 values ('101','2015-06-30',1)

Insert Into @tab1 values ('102','2015-07-01',0)
Insert Into @tab1 values ('102','2015-07-02',1)
Insert Into @tab1 values ('102','2015-07-01',1)

select * from @tab1

1.) In the above scenario for ID = '101', we have 5 records, first record has Compare value 0, which mean all other 4 records need to compare with this record only

2.) If Compare 1 record's Dt is less or equal to Compare 0's DT, then show 0 in next column 

3.) If Compare 1 record's Dt is greater than Compare 0's DT, then show 1 in next column 

My expected result set should be like ....