P2617 Dynamic Rankings(树状数组套主席树)

时间:2023-03-08 16:28:00

P2617 Dynamic Rankings

单点修改,区间查询第k大

当然是无脑树套树了~

树状数组套主席树就好辣

#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#define rint register int
using namespace std;
void read(int &x){
char c=getchar();x=;
while(c<''||c>'') c=getchar();
while(''<=c&&c<='') x=x*+(c^),c=getchar();
}
#define N 200005
#define W 60000005
int n,m,p1[N],p2[N],p3[N],a[N],tn,b[N];
int u,rt[N],lc[W],rc[W],siz[W],tx,ty,X[N],Y[N];
#define mid (l+r)/2
void ins(int &o,int l,int r,int x,int v){
if(!o) o=++u;
siz[o]+=v;
if(l==r) return ;
if(x<=mid) ins(lc[o],l,mid,x,v);
else ins(rc[o],mid+,r,x,v);
}
int Ask(int l,int r,int k){
if(l==r) return b[l];
int re=;
for(rint i=;i<=tx;++i) re-=siz[lc[X[i]]];
for(rint i=;i<=ty;++i) re+=siz[lc[Y[i]]];
if(k<=re){
for(rint i=;i<=tx;++i) X[i]=lc[X[i]];
for(rint i=;i<=ty;++i) Y[i]=lc[Y[i]];
return Ask(l,mid,k);
}else{
for(rint i=;i<=tx;++i) X[i]=rc[X[i]];
for(rint i=;i<=ty;++i) Y[i]=rc[Y[i]];
return Ask(mid+,r,k-re);
}
}
void add(int x,int v){
int k=lower_bound(b+,b+tn+,a[x])-b;
for(int i=x;i<=n;i+=i&-i) ins(rt[i],,tn,k,v);
}
int main(){
read(n);read(m); char opt[];
for(rint i=;i<=n;++i) read(a[i]),b[++tn]=a[i];
for(rint i=;i<=m;++i){
scanf("%s",opt); read(p1[i]),read(p2[i]);
if(opt[]=='Q') read(p3[i]);
else b[++tn]=p2[i];
}sort(b+,b+tn+);
tn=unique(b+,b+tn+)-b-;//离散化
for(rint i=;i<=n;++i) add(i,);
for(rint i=;i<=m;++i){
if(p3[i]){
tx=ty=;
for(int j=p1[i]-;j;j-=j&-j) X[++tx]=rt[j];
for(int j=p2[i];j;j-=j&-j) Y[++ty]=rt[j];
printf("%d\n",Ask(,tn,p3[i]));
}else{
add(p1[i],-);
a[p1[i]]=p2[i];
add(p1[i],);
}
}
}