Balance the following oxidation-reduction reactions, which occur in basic solution, using the half-reaction method.

a. \(\mathrm{Al}(s)+\mathrm{MnO}_{4}{ }^{-}(a q) \longrightarrow \mathrm{MnO}_{2}(s)+\mathrm{Al}(\mathrm{OH})_{4}{ }^{-}(a q)\)

b. \(\mathrm{Cl}_{2}(g) \longrightarrow \mathrm{Cl}^{-}(a q)+\mathrm{ClO}^{-}(a q)\)

c. \(\mathrm{NO}_{2}{ }^{-}(a q)+\mathrm{Al}(s) \longrightarrow \mathrm{NH}_{3}(g)+\mathrm{AlO}_{2}{ }^{-}(a q)\)

d. \(\mathrm{MnO}_{4}{ }^{-}(a q)+\mathrm{S}^{2-}(a q) \longrightarrow \mathrm{MnS}(s)+\mathrm{S}(s)\)

e. \(\mathrm{CN}^{-}(a q)+\mathrm{MnO}_{4}{ }^{-}(a q) \longrightarrow \mathrm{CNO}^{-}(a q)+\mathrm{MnO}_{2}(s)\)