This song uses 4 different shapes for the A chord.  I noted them as A, A*, A** and A***
    A**    Bm7      A*     Em7
e|--9-------7-------5-------O---|
B|--10------7-------5-------3---|
    F#m     C#      F#m7     B      E11      Bb     A***
e|--9--------9-------9-------7-------7-------6------5---|
B|--10-------9-------10------7-------7-------6------5---|
A**
I thirst but never quench
Bm7
I know the consequence,
A*            Em7
feeling as I do
A**
We're in a spinning top
Bm7
Where, tell me, will it stop
A*                Em7
And what am I to say
A**
Open our music book,
Bm7
that only few can look
    A*                   Em7
And I'll write a song for you, oooooh
A**     Bm7    Bm7 Dmaj7 Bm7    A*
hoooooo
A**
Love is a symphony,
Bm7
hearts in one melody
       A*                Em7
'Cause I write a song for you
A**
Sounds never dissipate,
Bm7
they only recreate
A*          Em7
In another place
A**
There in your silent night
Bm7
Joy of a song's delight
A*
I write a song for you
Em7
    You write a song for me
F#                   Bm   E
we write a song for loooove of
A
Looooove
F#m        C#
pah padah  paaaah
F#m7       B
pah padah  paaaah
E11        Bb         A***
pah padah  paaaaaaah  aaaaaaaah
A**
My magical mystique,
Bm7                A*
finding it all complete
               Em7
In a lovely face,
A**
feeling we try to chase
Bm7                  A*
Memories that won't erase,
              Em7
stay forever new
A**
We have a magic box
Bm7
in which is never locked,
A*
and I'll write a song for you.
Em7
You write a song for me
F#
We'll write a song, of
Bm       C#m      D
Love
E
Of
F#m       C#          F#m7      B
Love
E11        Bb         A****
F#m       C#          F#m7      B 
E11        Bb         A****