how should i go about answering this problem? Problem $5-$ How Deep is the List? Write a recursive function: def how$\_$deep$($list$\_$struct$)$: You will be passed a list. However this is not a generic list, it will conform to these specific rules. A list will either be: Empty A list of lists. This means for example that a list can either be: $[],$ or $[[],[],[]],$ or $[[[],[],[],[[[]]]],[]]$ Our goal is to calculate the depth of these lists. It must be done recursively. The depth of $[]$ is $1$ since it's a single list. The depth of $[[],[]]$ is $2$ since there are lists within lists, but both of those lists are at the same depth. The depth of $[[[]],[],[[]],[[[]]]]$ is $4$ because the first sublist is depth $2,$ then $1,$ then $2$ again, and then $3.$ Therefore $1+3=4.$ The depth of any list is considered to be the max of the depths of the sublists $+1.($This is the definition you should use for the purposes of the recursion$).$ Hint: You'll need a for loop in your recursive case. For this problem, you may add helper functions if you want to$,$ and$/$or add ONLY DEFAULT parameters to the recursive function $($again$,$ if you want$).$ They must work with the given driver code exactly. Test Driver and Starter Code Here I've included a little function which produces samples to test out with the max$\_$depth. It won't always produce something with that depth, but it will produce something with depth $<=$ max$\_$depth. Feel free to use this code to make new test cases and to test them out on your function. The test driver code is: import random def make$\_$list$\_$structure$($max$\_$depth, p$=\mathrm{.}8)$: if max$\_$depth and random.random$()<$ p: new$\_$list $=[]$ for i in range$(5)$: sub$\_$list $=$ make$\_$list$\_$structure$($max$\_$depth $-1,$ p $*\mathrm{.}9)$ if sub$\_$list is not None: new$\_$list.append$($sub$\_$list$)$ return new$\_$list return None if $\_\_$name$\_\_==\text{'}\_\_$main$\_\_\text{'}$: print$($how$\_$deep$([[[],[],[],[[[]]]],[]]))$ print$($how$\_$deep$([]))$ print$($how$\_$deep$([[],[]]))$ print$($how$\_$deep$([[[]],[],[[]],[[[]]]]))$ print$($how$\_$deep$([[[[],[[]],[[[]]],[[[[]]]]]]]))$ print$($how$\_$deep$([[[],[]],[],[[],[]]]))$ Sample Output linux$5[109]\%$ python$3$ how$\_$deep.py $512473$