Alice sends an identical message with standard encoding $(a=00,b=01,...,z=25)$ via RSA to each of Bob, Carol, and Darnarius. Each of Bob's, Carol's, and Darnarius's RSA public keys use $e=3,$ and their values of $N$ are, respectively,

$N_B=49703407978872135768369150951737194603841663052986938247511157126794635921277619$

$N_C=48394585785126752760098222942433754518772506574482068079987934034981215730453293$

$N_D=37048466581842421945081537172098726013070671280095643279361407260434395186752267.$

Eve intercepts the three ciphertexts

$c_B=25784565262357725797733361623964330387404886537460006803720876638565346256861433$

$c_C=8591142161833783340323034144110437060699871009667449419814424711743005011401597$

$c_D=14041334591568148205935644845370596206044644642402170720554240913633363302351503.$

Determine Alice's original message.