Decrypt the ciphertext which is encrypted with the ElGamal cipher. The parameters are: p$=31847$p$=31847,\backslash$beta $=5\backslash$beta $=5,$ and $\backslash$alpha $=18074\backslash$alpha $=18074.$ The decryption procedure is as follows:

Calculate the private key from the above values by solving the discrete logarithm;

Then decrypt each number in the text using the calculated private key.