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战略游戏 树形DP

描述
Bob喜欢玩电脑游戏,特别是战略游戏。但是他经常无法找到快速玩过游戏的办法。现在他有个问题。他要建立一个古城堡,城堡中的路形成一棵树。他要在这棵树的结点上放置最少数目的士兵,使得这些士兵能了望到所有的路。注意,某个士兵在一个结点上时,与该结点相连的所有边将都可以被了望到。 请你编一程序,给定一树,帮Bob计算出他需要放置最少的士兵。

输入
输入文件中数据表示一棵树,描述如下:
第一行 N,表示树中结点的数目。
第二行至第N+1行,每行描述每个结点信息,依次为:该结点标号i,k(后面有k条边与结点I相连),接下来k个数,分别是每条边的另一个结点标号r1,r2,...,rk。
对于一个n(0 < n <= 1500)个结点的树,结点标号在0到n-1之间,在输入文件中每条边只出现一次。
输出
输出文件仅包含一个数,为所求的最少的士兵数目。
例如,对于如右图所示的树:
答案为1(只要一个士兵在结点1上)。
样例输入
样例输出

分析:

每个点有放与不放的状态。

所以。

f[i][0]+=f[v][1];

f[i][1]+=min(f[v][1],f[v][0]);

因为如果当前点没有放那么与其相连的点都要放。

如果当前点放了,那取最小的情况就好。

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