GRASSPLA  Grass Planting
Problem description
Farmer John has N barren pastures (2 <= N <= 100,000) connected by N1 bidirectional roads, such that there is exactly one path between any two pastures. Bessie, a cow who loves her grazing time, often complains about how there is no grass on the roads between pastures. Farmer John loves Bessie very much, and today he is finally going to plant grass on the roads. He will do so using a procedure consisting of M steps (1 <= M <= 100,000).
At each step one of two things will happen:
 FJ will choose two pastures, and plant a patch of grass along each road in between the two pastures, or,
 Bessie will ask about how many patches of grass on a particular road, and Farmer John must answer her question.
Farmer John is a very poor counter  help him answer Bessie's questions!
Input
* Line 1: Two spaceseparated integers N and M
* Lines 2..N: Two spaceseparated integers describing the endpoints of a road.
* Lines N+1..N+M: Line i+1 describes step i. The first character of the line is either P or Q, which describes whether or not FJ is planting grass or simply querying. This is followed by two spaceseparated integers A_i and B_i (1 <= A_i, B_i <= N) which describe FJ's action or query.
Output
* Lines 1..???: Each line has the answer to a query, appearing in the same order as the queries appear in the input.
Example
SAMPLE INPUT
4 6 1 4 2 4 3 4 P 2 3 P 1 3 Q 3 4 P 1 4 Q 2 4 Q 1 4
SAMPLE OUTPUT
2 1 2
[ Edited by EB ]
Warning: Some input files are broken.
hide comments
kiwi1995:
20160727 14:20:13
HLD ;) 

Hussain Kara Fallah:
20130910 23:53:51
Cool Problem Indeed 

[deleted]:
20130303 11:57:35
Ok, got AC

Added by:  Gareev 
Date:  20120819 
Time limit:  0.219s0.438s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ASM64 
Resource:  USCAO contests 