SP16580 QTREE7 - Query on a tree VII

Description

You are given a tree (an acyclic undirected connected graph) with $n$ nodes. The tree nodes are numbered from $1$ to $n$. Each node has a color, white or black, and a weight. We will ask you to perfrom some instructions of the following form: - `0 u`: ask for the maximum weight among the nodes which are connected to $u$, two nodes are connected if all the node on the path from $u$ to $v$ (inclusive $u$ and $v$) have a same color. - `1 u`: toggle the color of $u$(that is, from black to white, or from white to black). - `2 u w`: change the weight of $u$ to $w$.

Input Format

The first line contains a number $n$ denoted how many nodes in the tree($n-1$ lines), each line has two numbers $(u, v)$ describe a edge of the tree(1 u, **v** n number, the first line is the initial color of each node(0 or 1), and the second line is the initial weight, let's say Wi, of each node(|**Wi**| m denoted how many operations we are going to process(1 m m lines, each line describe a operation (**t**, **u**) as we mentioned above(0 t u n, |**w**|

Output Format

For each query operation, output the corresponding result.