travel
题号:NC16635
时间限制:C/C++/Rust/Pascal 2秒,其他语言4秒
空间限制:C/C++/Rust/Pascal 256 M,其他语言512 M
64bit IO Format: %lld

题目描述

White Cloud has a tree with n nodes.The root is a node with number 1. Each node has a value.
White Rabbit wants to travel in the tree 3 times. In Each travel it will go through a path in the tree.
White Rabbit can't pass a node more than one time during the 3 travels. It wants to know the maximum sum value of all nodes it passes through.


输入描述:

The first line of input contains an integer n(3 <= n <= 400001)
In the next line there are n integers in range [0,1000000] denoting the value of each node.
For the next n-1 lines, each line contains two integers denoting the edge of this tree.

输出描述:

Print one integer denoting the answer.
示例1

输入

复制
13
10 10 10 10 10 1 10 10 10 1 10 10 10
1 2
2 3
3 4
4 5
2 6
6 7
7 8
7 9
6 10
10 11
11 12
11 13

输出

复制
110