[POI2007] MEG-Megalopolis

题目描述

在经济全球化浪潮的影响下,习惯于漫步在清晨的乡间小路的邮递员Blue Mary也开始骑着摩托车传递邮件了。不过，她经常回忆起以前在乡间漫步的情景。昔日，乡下有依次编号为1..n的n个小村庄，某些村庄之间有一些双向的土路。从每个村庄都恰好有一条路径到达村庄1（即比特堡）。并且，对于每个村庄，它到比特堡的路径恰好只经过编号比它的编号小的村庄。另外，对于所有道路而言，它们都不在除村庄以外的其他地点相遇。在这个未开化的地方，从来没有过高架桥和地下铁道。随着时间的推移，越来越多的土路被改造成了公路。至今，Blue Mary还清晰地记得最后一条土路被改造为公路的情景。现在，这里已经没有土路了——所有的路都成为了公路，而昔日的村庄已经变成了一个大都市。 Blue Mary想起了在改造期间她送信的经历。她从比特堡出发，需要去某个村庄，并且在两次送信经历的间隔期间,有某些土路被改造成了公路.现在Blue Mary需要你的帮助：计算出每次送信她需要走过的土路数目。（对于公路，她可以骑摩托车；而对于土路，她就只好推车了。）

输入格式

In the first line of the standard input there is a single integer $n$ ($1\le n\le 250\ 000$),denoting the number of villages in Byteotia. The following $n-1$ lines contain descriptions of the roads, in the form of two integers $a$,$b$ ($1\le a<b\le n$)separated by a single space, denoting the numbers of villages connected with a road. Inthe next line there is a single integer $m$($1\le m\le 250\ 000$),denoting the number of trips Byteasar has made.

The following $n+m-1$ lines contain descriptions of the events, in chronological order:

A description of the form "A $a$ $b$"(for $a<b$) denotes a country road between villages $a$ and $b$ beingtransformed into a motorway in that particular moment.

A description of the from "W $a$" denotes Byteasar's trip from Bitburg to village $a$.

输出格式

Your programme should write out exactly $m$ integers to the standard output, one a line, denoting the numberof country roads Byteasar has travelled during his successive trips.

样例 #1

样例输入 #1

5
1 2
1 3
1 4
4 5
4
W 5
A 1 4
W 5
A 4 5
W 5
W 2
A 1 2
A 1 3

样例输出 #1

2
1
0
1