$3\mathrm{.}6\mathrm{.}2$: Recursive exploration of all possibilities. Integers are read from input and stored in list tokens$\_$to$\_$pick. Recursive function form$\_$sequence$()$ counts and outputs all possible orderings of integers in remain$\_$tokens. Complete the form$\_$sequence$()$ base case to increment the value of options$\_$found and output the following in one line:

each element of picked$\_$tokens followed by a space

$\text{'}$: Sequence $\text{'}$

the value of options$\_$found

Then, return the value of options$\_$found for the base case..