BZOJ2212 [POI2011] Tree Rotations 【treap】

时间:2023-03-10 07:00:49
BZOJ2212 [POI2011] Tree Rotations 【treap】

题目分析:

写的无旋treap应该跑不过,但bzoj判断的总时限。把相关实现改成线段树合并就可以了。

代码:

 #include<bits/stdc++.h>
using namespace std; const int maxn = ; int n;
int ch[maxn][],num,val[maxn]; int son[maxn>>][],sz[maxn],rot[maxn],data[maxn],key[maxn]; long long ans = ; int merge(int r1,int r2){
if(r1 == ) return r2; if(r2 == ) return r1;
if(key[r1] < key[r2]){
son[r1][] = merge(son[r1][],r2);
sz[r1] = sz[son[r1][]]+sz[son[r1][]]+;
return r1;
}else{
son[r2][] = merge(r1,son[r2][]);
sz[r2] = sz[son[r2][]]+sz[son[r2][]]+;
return r2;
}
}
pair<int,int> split(int rt,int k){
if(k == ) return make_pair(,rt);
if(k >= sz[rt]) return make_pair(rt,);
if(sz[son[rt][]] >= k){
pair<int,int> res = split(son[rt][],k);
son[rt][] = res.second; res.second = rt;
sz[rt] = sz[son[rt][]] + sz[son[rt][]] + ;
return res;
}else{
pair<int,int> res = split(son[rt][],k-sz[son[rt][]]-);
son[rt][] = res.first; res.first = rt;
sz[rt] = sz[son[rt][]] + sz[son[rt][]] + ;
return res;
}
}
int found(int now,int x){
if(now == ) return ;
if(data[now] == x) return sz[son[now][]];
if(data[now] < x) return sz[son[now][]]++found(son[now][],x);
else return found(son[now][],x);
} void dfs(int now){
int d; scanf("%d",&d);
if(d){val[now] = d; return;}
ch[now][] = ++num; dfs(num); ch[now][] = ++num; dfs(num);
} long long alpha,beta;
void walk(int A,int B){
int z = found(B,data[A]); alpha += z; beta += (sz[B]-z);
if(son[A][]) walk(son[A][],B);
if(son[A][]) walk(son[A][],B);
} void dfs2(int A,int &B){
if(son[A][]) dfs2(son[A][],B),son[A][] = ;
if(son[A][]) dfs2(son[A][],B),son[A][] = ;
sz[A] = ; int z = found(B,data[A]);
pair<int,int> pr = split(B,z);
B = merge(merge(pr.first,A),pr.second);
} void dfs1(int now){
if(val[now]){
num++;
key[num]=rand();
sz[num]=;
data[num]=val[now];
rot[now]=num;
return;
}
dfs1(ch[now][]); dfs1(ch[now][]);
alpha = ,beta = ;
if(sz[rot[ch[now][]]] < sz[rot[ch[now][]]]){
walk(rot[ch[now][]],rot[ch[now][]]);
dfs2(rot[ch[now][]],rot[ch[now][]]);
rot[now] = rot[ch[now][]];
}else {
walk(rot[ch[now][]],rot[ch[now][]]);
dfs2(rot[ch[now][]],rot[ch[now][]]);
rot[now] = rot[ch[now][]];
}
ans += min(alpha,beta);
} void read(){
scanf("%d",&n);
num = ;
dfs();
} void work(){
num = ;
dfs1();
printf("%lld",ans);
} int main(){
read();
work();
return ;
}