Verify your answer to question $7$ using Sage and show your code. $9)$ Use the message and the key to answer the following questions using Sage Message $=$WISHINGYOUGOODLUCKINTHISCOURSEANDALLOTHERCOURSESOFYOURP ROGRAMMEZ$$ Key $=0$x$1$F$08130$D$1$AC$246$E $[$Use: A$=0$x$00,$ B$=0$x$01,$ C$=0$x$02.......$ Z$=0$x$19]$ i$)$ Write a Sage function to convert the message to blocks in hex $($hex blocks$)[$Hint: if message $=$ABZ$,$ the hex equivalent $=0$x$000119]$ ii$)$ Encrypt the message with the key provided using the DES algorithm. iii$)$ Decrypt the message and compare the result with the result of i$)$ iv$)$ Show the generated round keys. v$)$ Prove that the final permutation is an inverse of the initial permutation.