NEED A COMPLETE CODE IN C LANGUAGE, WITH THE USE OF LIBRARY. THANKS!

3.1 Task 1: Deriving the Private Key Let p, q, and e be three prime numbers. Let n - p*q. We will use (e, n) as the public key. Please calculate the private key d. The hexadecimal values of p, q, and e are listed in the following. It should be noted that although p and q used in this task are quite large numbers, they are not large enough to be secure. We intentionally make them small for the sake of simplicity. In practice, these numbers should be at least 512 bits long (the one used here are only 128 bits). pF7E75FDC469067FFDC4E847C51F452DF qE85CED5 4AF 57E53E092113E62F436F4F 3.1 Task 1: Deriving the Private Key Let p, q, and e be three prime numbers. Let n - p*q. We will use (e, n) as the public key. Please calculate the private key d. The hexadecimal values of p, q, and e are listed in the following. It should be noted that although p and q used in this task are quite large numbers, they are not large enough to be secure. We intentionally make them small for the sake of simplicity. In practice, these numbers should be at least 512 bits long (the one used here are only 128 bits). pF7E75FDC469067FFDC4E847C51F452DF qE85CED5 4AF 57E53E092113E62F436F4F