Construct the FP$-$tree corresponding to the transaction dataset from Table $1.$ Start by determining the support count of each item. You do not need to show every single step, but you need to show the elements that we will grade, i$.$e$.,$ support counting of items $(4$ pts $),$ rearranging the dataset $4$ pts $,$ constructing FP$-$tree $(12$ pts $),$ labeling the nodes in the end $(3$ pts $).$

Table $1$: Dataset with transaction IDs and the corresponding items that customers bought.