Problem $2.$ Consider the following functions:

def f$($x$)$:

st $=$ dict $()$

for v in x:

if v in st:

st$[$v$]+=1$ else:

st$[$v$]=1$ return st

def g$($x$)$:

return max$($f$($x$).$values$())$

def h$($x$)$:

y $=$ f$($x$)$

z $=$ g$($x$)$

for v in y$.$keys$()$:

if y$[$v$]==$ z: return v

return $-1$

a$.$ What does f$("$amanaplanacanalpanama$")["$p$"]$ return?

b$.$ Whatisthevalueoftheexpressionf$("$amanaplanacanalpanama$")["$c$"]+$ f$("$amanaplanacanalpanama$")["$n$"]?$

c$.$ What does g$("$amanaplanacanalpanama$")$ return?

d$.$ What does h$("$amanaplanacanalpanama$")$ return?

e$.$ What is the value of the expression h$("$amanaplanacanalpanama$")*$ g$("$abracadabra$")?$