Alice and Bob agree to communicate using NTRUEncrypt with (N, p, q) = (7, 3, 37). Alice's private key is f(x) = - 1 + X - X^3 + X^4 + X^5, F_3(x) = 1 + X - X^2 + X^4 + X^5 + X^6. (You can check that f * F_3 = 1 (mod 3).) Alice receives the ciphertext e(x) = 2 + 8X^2 - 16X^3 - 9X^4 - 18X^5 - 3X^6. from Bob. Decipher the message and find the plaintext. Alice and Bob agree to communicate using NTRUEncrypt with (N, p, q) = (7, 3, 37). Alice's private key is f(x) = - 1 + X - X^3 + X^4 + X^5, F_3(x) = 1 + X - X^2 + X^4 + X^5 + X^6. (You can check that f * F_3 = 1 (mod 3).) Alice receives the ciphertext e(x) = 2 + 8X^2 - 16X^3 - 9X^4 - 18X^5 - 3X^6. from Bob. Decipher the message and find the plaintext