CF1098A.Sum in the tree
普及/提高-
通过率:0%
时间限制:2.00s
内存限制:256MB
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题目描述
Mitya has a rooted tree with n vertices indexed from 1 to n, where the root has index 1. Each vertex v initially had an integer number av≥0 written on it. For every vertex v Mitya has computed sv: the sum of all values written on the vertices on the path from vertex v to the root, as well as hv — the depth of vertex v, which denotes the number of vertices on the path from vertex v to the root. Clearly, s1=a1 and h1=1.
Then Mitya erased all numbers av, and by accident he also erased all values sv for vertices with even depth (vertices with even hv). Your task is to restore the values av for every vertex, or determine that Mitya made a mistake. In case there are multiple ways to restore the values, you're required to find one which minimizes the total sum of values av for all vertices in the tree.
米提亚有一棵以 1 为根的有根树,树上有 n 个顶点,编号从 1 到 n。每个顶点 v 最初写有一个整数 av≥0。对于每个顶点 v,米提亚计算了 sv:从顶点 v 到根节点路径上所有顶点所写数值之和;以及 hv:顶点 v 的深度,即从顶点 v 到根节点路径上的顶点个数。显然,s1=a1 且 h1=1。
随后,米提亚擦除了所有 av 的值,并且不小心也擦除了所有偶数深度顶点(即满足 hv 为偶数的顶点)对应的 sv 值。你的任务是恢复每个顶点的 av 值,或判定米提亚犯了错误。若存在多种恢复方案,你需要找出其中一种使得整棵树上所有顶点的 av 值之和最小的方案。
输入格式
The first line contains one integer n — the number of vertices in the tree (2≤n≤105). The following line contains integers p2, p3, ... pn, where pi stands for the parent of vertex with index i in the tree (1≤pi<i). The last line contains integer values s1, s2, ..., sn (−1≤sv≤109), where erased values are replaced by −1.
第一行包含一个整数 n —— 树中顶点的数量(2≤n≤105)。
接下来的一行包含整数 p2, p3, ..., pn,其中 pi 表示树中编号为 i 的顶点的父节点(1≤pi<i)。
最后一行包含整数值 s1, s2, ..., sn(−1≤sv≤109),其中被擦除的值用 −1 代替。
输出格式
Output one integer — the minimum total sum of all values av in the original tree, or −1 if such tree does not exist.
输出一个整数——原始树中所有值 av 的最小总和;如果这样的树不存在,则输出 −1。
输入输出样例
输入#1
5 1 1 1 1 1 -1 -1 -1 -1
输出#1
1
输入#2
5 1 2 3 1 1 -1 2 -1 -1
输出#2
2
输入#3
3 1 2 2 -1 1
输出#3
-1
输入解题思路,AI测评打分。不知道怎么写?