Given a binary tree t = (v, e) with each vertex v ∈ v associated with a nonnegative weight w(v), design a dynamic programming based algorithm to partition the tree t into k or fewer subtrees by removing k − 1 or fewer edges from t such that the maximum weight of each subtree is minimized among all possible partitions, where the weight of a tree is the sum of weights of all vertices in the tree.

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