Description
http://www.lydsy.com/JudgeOnline/upload/zjoi2012.pdf
Solution
维护树上联通块的信息，支持动态加边删边
LCT
总共只有10种颜色，直接建10个LCT，每个LCT维护一种颜色
LCT还是差不多
只是第二个操作比较麻烦，得一个一个颜色地去试
#include<bits/stdc++.h>
#define ll long long
#define db double
#define ld long double
#define lc(x) ch[(x)][0]
#define rc(x) ch[(x)][1]
const int MAXN=10000+10,MAXC=15;
int n,m,c,k,Val[MAXN],d[MAXC][MAXN];
template<typename T> inline void chkmin(T &x,T y){x=(y<x?y:x);}
template<typename T> inline void chkmax(T &x,T y){x=(y>x?y:x);}
struct LCT{
int ch[MAXN][2],fa[MAXN],rev[MAXN],Mx[MAXN];
inline void init()
{
memset(ch,0,sizeof(ch));
memset(fa,0,sizeof(fa));
memset(rev,0,sizeof(rev));
memset(Mx,0,sizeof(Mx));
}
inline bool nroot(int x)
{
return lc(fa[x])==x||rc(fa[x])==x;
}
inline void reverse(int x)
{
std::swap(lc(x),rc(x));
rev[x]^=1;
}
inline void pushup(int x)
{
Mx[x]=Val[x];
chkmax(Mx[x],Mx[lc(x)]);
chkmax(Mx[x],Mx[rc(x)]);
}
inline void pushdown(int x)
{
if(rev[x])
{
if(lc(x))reverse(lc(x));
if(rc(x))reverse(rc(x));
rev[x]=0;
}
}
inline void rotate(int x)
{
int f=fa[x],p=fa[f],c=(rc(f)==x);
if(nroot(f))ch[p][rc(p)==f]=x;
fa[ch[f][c]=ch[x][c^1]]=f;
fa[ch[x][c^1]=f]=x;
fa[x]=p;
pushup(f);
pushup(x);
}
inline void splay(int x)
{
std::stack<int> s;
s.push(x);
for(register int i=x;nroot(i);i=fa[i])s.push(fa[i]);
while(!s.empty())pushdown(s.top()),s.pop();
for(register int y=fa[x];nroot(x);rotate(x),y=fa[x])
if(nroot(y))rotate((lc(y)==x)==(lc(fa[y])==y)?y:x);
pushup(x);
}
inline void access(int x)
{
for(register int y=0;x;x=fa[y=x])splay(x),rc(x)=y,pushup(x);
}
inline void makeroot(int x)
{
access(x);splay(x);reverse(x);
}
inline int findroot(int x)
{
access(x);splay(x);
while(lc(x))pushdown(x),x=lc(x);
splay(x);
return x;
}
inline void split(int x,int y)
{
makeroot(x);access(y);splay(y);
}
inline void link(int x,int y)
{
makeroot(x);
if(findroot(y)!=x)fa[x]=y;
}
inline void cut(int x,int y)
{
makeroot(x);
if(findroot(y)==x&&fa[y]==x&&!lc(y))rc(x)=fa[y]=0,pushup(x);
}
};
LCT T[MAXC];
template<typename T> inline void read(T &x)
{
T data=0,w=1;
char ch=0;
while(ch!='-'&&(ch<'0'||ch>'9'))ch=getchar();
if(ch=='-')w=-1,ch=getchar();
while(ch>='0'&&ch<='9')data=((T)data<<3)+((T)data<<1)+(ch^'0'),ch=getchar();
x=data*w;
}
template<typename T> inline void write(T x,char c='\0')
{
if(x<0)putchar('-'),x=-x;
if(x>9)write(x/10);
putchar(x%10+'0');
if(c!='\0')putchar(c);
}
template<typename T> inline T min(T x,T y){return x<y?x:y;}
template<typename T> inline T max(T x,T y){return x>y?x:y;}
int main()
{
read(n);read(m);read(c);read(k);
for(register int i=1;i<=c;++i)T[i].init();
for(register int i=1;i<=n;++i)read(Val[i]);
for(register int i=1;i<=m;++i)
{
int u,v,w;
read(u);read(v);read(w);
w++;
d[w][u]++;d[w][v]++;
T[w].link(u,v);
}
while(k--)
{
int opt;
read(opt);
if(opt==0)
{
int x,y;
read(x);read(y);
Val[x]=y;
for(register int i=1;i<=c;++i)T[i].access(x),T[i].splay(x),T[i].pushup(x);
}
if(opt==1)
{
int u,v,w,dn=1;
read(u);read(v);read(w);
w++;
for(register int i=1;i<=c;++i)
if(T[i].findroot(u)==T[i].findroot(v))
{
T[i].makeroot(u),T[i].access(v),T[i].splay(v);
if(T[i].lc(v)!=u||T[i].rc(u))continue;
dn=0;
if(i==w)puts("Success.");
else if(d[w][u]>=2||d[w][v]>=2)puts("Error 1.");
else if(T[w].findroot(u)==T[w].findroot(v))puts("Error 2.");
else
{
T[i].cut(u,v);T[w].link(u,v);
d[i][u]--;d[i][v]--;
d[w][u]++;d[w][v]++;
puts("Success.");
}
break;
}
if(dn)puts("No such edge.");
}
if(opt==2)
{
int c,u,v;
read(c);read(u);read(v);
c++;
if(T[c].findroot(u)!=T[c].findroot(v))puts("-1");
else T[c].split(u,v),write(T[c].Mx[v],'\n');
}
}
return 0;
}