題意:一棵樹,每個點有顏色,4種操作,1.單點修改權值 2.單點修改顏色 3.查詢路徑顏色相同的點權和 4.查詢路徑顏色相同的點權最大值。
思路:樹刨+線段樹動態開點,開1e5個線段樹。
代碼:
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define forn(i,n) for(int i=0;i<n;++i)
#define for1(i,n) for(int i=1;i<=n;++i)
#define IO ios::sync_with_stdio(false);cin.tie(0)
const int maxn = 2e5+5;
int a[maxn],b[maxn],head[maxn],deep[maxn],sz[maxn],par[maxn],son[maxn],p[maxn],fp[maxn],top[maxn],root[maxn];
int n,q,tot = 1,id,cnt;
class dsegment_tree{public:
struct dsegment_node{
int son[2],sum,maxv;
}node[maxn*50];
void update(int pos,int v,int &now,int l = 1,int r = n){
if(!now) now = ++cnt;
if(l==r){
node[now].sum = node[now].maxv = v;
return;
}
int mid = l+r>>1;
if(pos<=mid) update(pos,v,node[now].son[0],l,mid);
else update(pos,v,node[now].son[1],mid+1,r);
node[now].sum = node[node[now].son[0]].sum+node[node[now].son[1]].sum;
node[now].maxv = max(node[node[now].son[0]].maxv,node[node[now].son[1]].maxv);
}
int query(int L,int R,int now,int l = 1,int r = n){
if(L<=l&&R>=r) return node[now].sum;
int mid = l+r>>1,res = 0;
if(L<=mid) res+=query(L,R,node[now].son[0],l,mid);
if(R>mid) res+=query(L,R,node[now].son[1],mid+1,r);
return res;
}
int query2(int L,int R,int now,int l = 1,int r = n){
if(L<=l&&R>=r) return node[now].maxv;
int mid = l+r>>1,res = 0;
if(L<=mid) res = max(res,query2(L,R,node[now].son[0],l,mid));
if(R>mid) res = max(res,query2(L,R,node[now].son[1],mid+1,r));
return res;
}
}tree;
struct edge{
int v,nex;
}e[maxn];
void add(int u,int v){
e[++tot] = {v,head[u]},head[u] = tot;
e[++tot] = {u,head[v]},head[v] = tot;
}
void dfs(int u,int pre,int d){
deep[u] = d,sz[u] = 1,par[u] = pre;
for(int i = head[u];i;i = e[i].nex){
int v = e[i].v;
if(v==pre) continue;
dfs(v,u,d+1);
sz[u]+=sz[v];
if(sz[son[u]]<sz[v]) son[u] = v;
}
}
void getpos(int u,int gg){
top[u] = gg,p[u] = ++id,fp[id] = u;
if(son[u]) getpos(son[u],gg);
for(int i = head[u];i;i = e[i].nex){
int v = e[i].v;
if(v==par[u]||v == son[u]) continue;
getpos(v,v);
}
}
int calsum(int x,int y){
int z = b[x];
int fx = top[x],fy = top[y];
int res = 0;
while(fx!=fy){
if(deep[fx]<deep[fy]) swap(fx,fy),swap(x,y);
res+=tree.query(p[fx],p[x],root[z]);
x = par[fx],fx = top[x];
}
if(deep[x]>deep[y]) swap(x,y);
res+=tree.query(p[x],p[y],root[z]);
return res;
}
int calmax(int x,int y){
int z = b[x];
int fx = top[x],fy = top[y];
int res = 0;
while(fx!=fy){
if(deep[fx]<deep[fy]) swap(fx,fy),swap(x,y);
res = max(res,tree.query2(p[fx],p[x],root[z]));
x = par[fx],fx = top[x];
}
if(deep[x]>deep[y]) swap(x,y);
res= max(res,tree.query2(p[x],p[y],root[z]));
return res;
}
int main(){
IO;
cin>>n>>q;
for1(i,n) cin>>a[i]>>b[i];
for1(i,n-1){
int x,y;cin>>x>>y;
add(x,y);
}
dfs(1,0,0);
getpos(1,1);
for1(i,n) tree.update(p[i],a[i],root[b[i]]);
for1(i,q){
string s;int x,y;cin>>s>>x>>y;
if(s[1] == 'C'){
tree.update(p[x],0,root[b[x]]);
tree.update(p[x],a[x],root[y]);
b[x] = y;
}else if(s[1]=='W'){
tree.update(p[x],y,root[b[x]]);
a[x] = y;
}else if(s[1]=='S') cout<<calsum(x,y)<<'\n';
else cout<<calmax(x,y)<<'\n';
}
return 0;
}