Write a program to sign given text message with given 4096-bit private key, using the PKCS#1 v.1.5 RSA signature algorithm with SHA3-512 hashing for the input message. The input consists of 2 text lines. The first line holds the input message for signing. The next few lines holds the private key as hex string. Print the output as JSON document, holding the input message + the public key of the signer (as hex string) + the RSA digital signature (as hex string).