NINA + SING = AGAIN ? assign each alphabet with a number such that addition becomes true?

NINA + SING = AGAIN ? assign each alphabet with a number such that addition becomes true?

    NINA

 + SING 

=========

 AGAIN

now, A should be 1 or 0

  let A = 1

     NIN1

 +  SING

========

   1G1IN

I should be 5 or I = 0

when I = 5

 N5N1

 S5NG

=======

1G15N

N + N =  5 or 15 not possible

thus, when I = 0

       N0N1

  +   S0NG

=========

     1G10N

N should be 5

      5051

  + S05G

==========

   1G105

G should be 4

     5051

 +  S054

=========

   14105

thus S should be 9

     5051

 +  9054

===========

   14105

Hence

NINA = 5051

SING = 9054

AGAIN = 14105

Hence

A = 1

I = 0

G = 4

N = 5

S = 9