SQL Query - Filter valid & invalid data by few columns

Question

I have a table data shown as below.

You can generate the same by running following script

DECLARE @Temp Table
(
 Id varchar(50),
 Name varchar(50),
 ProductId varchar(50)
)
insert into @Temp values('1','O1','P1');
insert into @Temp values('1','O1','P2');
insert into @Temp values('2','O1','P1');
insert into @Temp values('3','O1','P3');
insert into @Temp values('4','O1','P4');
insert into @Temp values('5','O1','P4');
insert into @Temp values('6','O1','P6')
select * from @Temp

I want two different out put based on below condition

1) Either Id or ProductId are not same

2) Either Id or ProductId are same

What is the best way to do this operation? Appreciate running code for the same so my input can be validate on the same?