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# P2016 [SEERC 2000] 战略游戏 题解
题意:给你一棵树,要求选中一些点,使得每条边至少一个端点被选中。
令 $dp_{i, 01}$ 表示以 $i$ 为根的子树,是否选中该节点的最少选中节点数。易得:
$$
\begin{aligned}
f_{i, 0} =& \sum f_{u, 1} (u \in child_i) \\
f_{i, 1} =& \sum \min(dp_{u, 0}, dp_{u, 1})
\end{aligned}
$$
树形 dp 即可。
[code](../P2016.cpp)