$4\mathrm{.}2$ a$.$ Given a Kohonen self$-$ organizing map with weights as shown in the following diagram, use the square of the Euclidean distance to find the cluster unit C$,$ that is closest to the input vector $(\mathrm{.}5,\mathrm{.}2).$ b$.$ Using a learning rate of$\mathrm{.}2,$ find the new weights for unit CJ$.$ c$.$ If units C$-1$ and C$+1$ are also allowed to learn the input pattern. find their new weights.