$)$ Common modulus attack. Assume that

Alice and Bob share a same modulus $77.$ Alice$$s

public key is $(77,7).$ Similarly Bob$$s public key

is $(77,11).$ The encryption is as follows:

Enc$($ex$,$ m$)=$ mex mod N

Consider that Eve sees that two ciphertexts $2$

and $3.$ In addition, she knows that the two ciphertexts come from a single plaintext message.

So $2=$ meA mod N and $3=$ meB mod N$.$ Can

Eve construct a plaintext m from the two ciphertexts without knowing private keys, and $($N$)?$

Explain the reason and compute the plaintext if

it is$.$