【BZOJ2733】永无乡
题目链接:传送门
题解:
splay启发式合并,每次暴力拆较小的子树插入到另一个子树中
//by sdfzchy
#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#define ls t[x].ch[0]
#define rs t[x].ch[1]
#define pa t[x].fa
using namespace std;
typedef long long LL;
const int inf=(1<<30),N=100010,mod=1e9+7;
int n,m,fa[N],val[N];
inline int in()
{
char tmp=getchar();
int res=0,f=1;
while((tmp<'0'||tmp>'9')&&tmp!='-')tmp=getchar();
if(tmp=='-') f=-1,tmp=getchar();
while(tmp>='0'&&tmp<='9') res=(res<<1)+(res<<3)+(tmp^48),tmp=getchar();
return res*f;
}
inline int find(int x) {return fa[x]==x?fa[x]:fa[x]=find(fa[x]);}
struct Splay
{
int cnt=0,root=0;
struct node
{
int ch[2],fa,siz,val;
}t[N];
void init() {for(int i=1;i<=n;i++) t[i].val=val[i],t[i].siz=1;}
inline int gi(int x) {return t[pa].ch[1]==x;}
inline void upd(int x) {t[x].siz=t[ls].siz+t[rs].siz+1;}
void rot(int x)
{
int f=pa,g=t[pa].fa,o=gi(x);
if(g) t[g].ch[gi(f)]=x;pa=g;
t[f].ch[o]=t[x].ch[!o];t[t[x].ch[!o]].fa=f;
t[x].ch[!o]=f;t[f].fa=x;
upd(f);upd(x);
}
inline void splay(int x,int tar)
{
for(;pa!=tar;rot(x))
if(t[pa].fa!=tar)
rot((gi(x)==gi(pa))?pa:x);
if(!tar) root=x;
}
void ins(int p)
{
int x=root,f=0,v=t[p].val;
while(x) f=x,x=(v<t[x].val?ls:rs);
x=p;
t[f].ch[v>t[f].val]=x;t[x].fa=f;
splay(x,0);
}
void order(int x)
{
int l=ls,r=rs;
ls=rs=pa=0;t[x].siz=1;
if(l) order(l);
ins(x);
if(r) order(r);
}
void merge(int x,int y)
{
if(x==y) return;
splay(x,0);splay(y,0);
if(t[x].siz>t[y].siz) swap(x,y);
fa[x]=y;root=y;
order(x);
}
int kth(int x,int k)
{
splay(x,0);
while(x)
{
if(k<=t[ls].siz) x=ls;
else if(k>t[ls].siz+1) k-=t[ls].siz+1,x=rs;
else return x;
}
return -1;
}
void print()
{
printf("%d\n",root);
for(int x=1;x<=n;x++) printf("%d %d %d %d\n",ls,rs,pa,t[x].siz);
}
}S;
char s[10];
int main()
{
// freopen("in.in","r",stdin);
// freopen("out.out","w",stdout);
n=in(),m=in();
for(int i=1;i<=n;i++) fa[i]=i,val[i]=in();
S.init();
for(int i=1,x,y;i<=m;i++) x=find(in()),y=find(in()),S.merge(x,y);
m=in();
// S.print();
for(int i=1,x,y;i<=m;i++)
{
scanf("%s",s);
if(s[0]=='B') S.merge(find(in()),find(in()));
else x=in(),y=in(),printf("%d\n",S.kth(x,y));
// S.print();
// for(int i=1;i<=n;i++) cout<<fa[i]<<" ";
// cout<<endl;
}
return 0;
}