Step 1: Alanine
Side chain of alanine is:
\[
R=-CH_3
\]
Therefore
\[
A \rightarrow III
\]
Step 2: Leucine
Side chain of leucine is:
\[
R=-CH_2CH(CH_3)_2
\]
Therefore
\[
B \rightarrow I
\]
Step 3: Serine
Side chain of serine is:
\[
R=-CH_2OH
\]
Therefore
\[
C \rightarrow II
\]
Step 4: Cysteine
Side chain of cysteine is:
\[
R=-CH_2SH
\]
Therefore
\[
D \rightarrow IV
\]
Hence the correct matching is
\[
\boxed{A-III,\; B-I,\; C-II,\; D-IV}
\]