Answer to Problem 3.
The most natural choice is
and
.
But since
, you can also take
and
.
![[Maple Math]](images/decomp15.gif)
and
![[Maple Math]](images/decomp16.gif){kind=small}
.
and
.
![[Maple Math]](images/decomp17.gif)
, you can also take
![[Maple Math]](images/decomp18.gif){kind=small}
and
![[Maple Math]](images/decomp19.gif)
.