题目大意

有一棵$n$个节点的树,点有点权,对于每个节点,你要求出离这个节点距离$k$以内的节点的点权和

$1 \leq n \leq 10^5, 1 \leq k \leq 20$

设$f_u$表示$u$不被以$u$为根的子树内点(包括$u$)通上电的概率,则有:

$$f_u=(1-p_u) \times \prod_{v \in subtree \; u}e(u, v) \times f_v$$

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