The Goldwasser$-$Micali cryptosystem is defined.

The message M has been converted to its binary representation in ASCII m$.$ The length of message M is $48$ bits. The message m has been encrypted in c using the Goldwasser $-$ Micali cryptosystem. Decrypt M that You can do this programmatically, but this message can also be decrypted manually.

c $=[218,34,194,164,220,50,237,77,$

$68,151,135,21,101,167,196,98,$

$196,219,89,241,16,134,240,43,$

$36,193,37,17,184,61,81,41,$

$81,148,18,172,193,37,203,233,$

$244,145,18,1,121,46,18,193]$

Public key $($y$,$ n$)=(109,247)$

Private key $($p$,$ q$)=(13,19)$