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Help me with this tree dp problem!!
Given a tree with $$$N$$$ vertices, find the number of rooted trees (which consist of some edges present in the given tree) with $$$K$$$ vertices, including vertex 1. Constraints: $$$1 \leq K \leq N \leq 3000$$$.
Example :
Let $$$N$$$ = $$$5$$$ and the tree be this :
Then for K = 1, 2, 3, 4, 5 the solutions are :
