$1.$ We implement six algorithms $($Heapsort$,$ Insertion sort, Radix Sort, Quick Sort, Merge Sort, and Selection Sort$)$ to sort the following list

Input: $93,391,542,182,383,291,81,451$

At an intermediate step, we print the state of the list and obtain the following lists, A$,$B$,$C$,$D$,$E$,$ and F$.$ For each list, determine which sorting algorithms has been applied to the list?

A: $93,182,391,542,291,383,81,451$

B: $93,182,383,391,542,291,81,451$

C: $81,93,182,542,383,291,391,451$

D: $81,93,182,383,291,391,451,542$

E: $391,291,81,451,542,182,93,383$

F: $93,182,291,391,383,542,81,451$