In each of the three additions below, each letter represents a different digit; however, each letter does not necessarily represent the same digit in one addition as it does in another addition.

          G  A  L  E       E  L  S  A        N  E  A  L  
       +  N  E  A  L    +  G  A  L  E     +  E  L  S  A
       -------------    -------------     -------------
          E  L  S  A       N  E  A  L        G  A  L  E

Which addition has the smallest sum?