Can you please help me to create test problems $($at least $3$ options for each question$)$ to ensure that my ML code is working properly?

$(*$ Question $1-$ Define a function mymap with the same type and behavior as map, but without using map.

$($Note this should still be a one$-$liner: use foldl or foldr.$)*)$

fun mymap$1$ f lst$=$foldr $($fn$($x$,$ acc$)=>($f x$)$ :: acc$)[]$lst;

$(*$val mymap$1=$ fn : $(\text{'}$a $->\text{'}$b$)->$ 'a list $->\text{'}$b list$*)$

$(*$ Question $2-$ Define a function mymap$2$ with the same type and behavior as map. No map,

foldr, $$or $$foldl $$can $$be $$used$.($refer $$to $$problem $$Exercise $26$on $$page $147)*)$

fun mymap$2$ f lst $=$ if null lst then $[]$ else f $($hd lst$)$::mymap$2$ f$($tl lst$)$;

$(*$val mymap$2=$ fn : $(\text{'}$a $->\text{'}$b$)->$ 'a list $->\text{'}$b list$*)$

$$

$(*$ Question $3-$ Write a function ordlist of type char list $->$ int list that take a list of characters

and $$returns $$the $$list $$of $$integer $$codes $$of $$those $$characters$.$For $$example$,$if $$you $$

evaluate $$ordlist $[$#$$A$,$#$$b$,$#$$C$]$you $$should $$get $[65,98,67]($refer $$to $$

Exercise $2$on $$page $144).*)$

fun ordlist lst $=$ map $($fn c $=>$ ord c$)$ lst;

$(*$val ordlist $=$ fn : char list $->$ int list$*)$

$(*$ Question $4-$ Write a function mylength fo type $$a list $->$ int that returns the length of a list.

You $$cannot $$use $$the $$built$-$in $$length $$function$.($refer $$to $$Exercise $11$on $$page $$

$145).*)$

fun mylength $[]=0|$ mylength $(\_$::rest$)=1+$mylength rest;

$(*$ val mylength $=$ fn : 'a list $->$ int $*)$

$$

$(*$ Question $5-$ Write a function max of type int list $->$ int that returns the largest element of

a $$list $$of $$integers$.$Your $$function $$need $$not $$behave $$well $$if $$the $$list $$is $$empty$.*)$

fun max$[]=$ raise Empty $|$ max$[$x$]=$x $|$ max$($x::xs$)=$ if x$>$max xs then x else max xs;

$(*$ val max $=$ fn : int list $->$ int $*)$