In a tree classification task, the set X associated with node t, contains N, = 14 vectors. Four of these belong to class w1, two to class @2, and eight to class @, in a three-class classification task. The node splitting results into two new subsets Xry, with three vectors from 1., and two from @, and XN with one vectors from @1, none from w2, and eight from wz. Compute the decrease in node impurity after splitting.

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