Problem: Given two lists, write a program with a function that merges these two lists in descending order. Your main program will allow the user to enter two lists of numbers and end the program by inputting a blank line for list $1.$ You are not allowed to concatenate the two lists into a new list and then call the built$-$in sort$()$ function to sort the new list in descending order. But you are allowed to sort the two lists in descending order before merge. Don$$t worry about the complexity of the merging algorithm.

List $1$: $1336$

List $2$: $145$

$[6,5,4,3,3,1,1]$

List $1$: $100$

List $2$: $113$

$[100,3,1,1]$