gcx12012 @ 2023-04-18 16:44:06
#include<bits/stdc++.h>
#include<cmath>
#define ll long long
#define N 100010
using namespace std;
struct node{
ll to,nxt;
}e[N<<1];
int tot=0,head[N];
int top[N],siz[N],fa[N],dep[N],son[N];
int id[N],cnt=0;
ll a[N<<2],laz[N<<2];
int n,m;
ll read(){
ll x=0,f=1;char ch=getchar();
while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();}
while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=getchar();}
return x*f;
}
void add(int u,int v){
e[++tot].to=v;
e[tot].nxt=head[u];
head[u]=tot;
}
void dfs1(int u,int f,int deep){
fa[u]=f;
dep[u]=deep;
siz[u]=1;
int maxson=-1;
for(int i=head[u];i;i=e[i].nxt){
int v=e[i].to;
if(v==f) continue;
dfs1(v,u,deep+1);
siz[u]+=siz[v];
if(siz[v]>maxson){
maxson=siz[v];
son[u]=v;
}
}
}
void dfs2(int u,int topf){
id[u]=++cnt;
top[u]=topf;
if(!son[u]) return;
dfs2(son[u],topf);
for(int i=head[u];i;i=e[i].nxt){
int v=e[i].to;
if(v==fa[u] || v==son[u]) continue;
dfs2(v,v);
}
}
ll res=0,ans=0;
void pushdown(int x,int len){
laz[x<<1]+=laz[x];
laz[x<<1|1]+=laz[x];
a[x<<1]+=laz[x]*(len-(len>>1));
a[x<<1|1]+=laz[x]*(len>>1);
laz[x]=0;
}
void update(int x,int l,int r,int L,int R){
if(L<=l && r<=R){
a[x]+=r-l+1;
laz[x]++;
return;
}
if(laz[x]) pushdown(x,r-l+1);
int mid=(l+r)>>1;
if(L<=mid) update(x<<1,l,mid,L,R);
if(R>mid) update(x<<1|1,mid+1,r,L,R);
a[x]=a[x<<1]+a[x<<1|1];
}
void query(int x,int l,int r,int L,int R){
if(L<=l && r<=R){
res+=a[x];
return;
}
int mid=(l+r)>>1;
if(laz[x]) pushdown(x,r-l+1);
if(L<=mid) query(x<<1,l,mid,L,R);
if(R>mid) query(x<<1|1,mid+1,r,L,R);
}
void ubian(int x,int y){
while(top[x]!=top[y]){
if(dep[top[x]]<dep[top[y]]) swap(x,y);
update(1,1,n,id[top[x]]+1,id[x]);
x=fa[top[x]];
}
if(dep[x]>dep[y]) swap(x,y);
update(1,1,n,id[x]+1,id[y]);
}
ll qbian(int x,int y){
ans=0;
while(top[x]!=top[y]){
res=0;
if(dep[top[x]]<dep[top[y]]) swap(x,y);
query(1,1,n,id[top[x]]+1,id[x]);
x=fa[top[x]];
ans+=res;
}
if(dep[x]>dep[y]) swap(x,y);
res=0;
query(1,1,n,id[x]+1,id[y]);
ans+=res;
return ans;
}
int main()
{
n=read(),m=read();
for(int i=1;i<n;i++){
int x=read(),y=read();
add(x,y);
add(y,x);
}
dfs1(1,0,1);
dfs2(1,1);
while(m--){
char c;
cin>>c;
int x=read(),y=read();
if(c=='P'){
ubian(x,y);
}else{
printf("%lld\n",qbian(x,y));
}
}
return 0;
}