BZOJ[4399]魔法少女LJJ 线段树合并

来源:互联网 发布:php简单计算器代码 编辑:程序博客网 时间:2024/06/11 17:57

题目链接http://www.lydsy.com/JudgeOnline/problem.php?id=4399

c<=7!!c<=7!!c<=7!!

每新建一个节点,就开一个权值线段树,在连接时将两个线段树合并即可,对于操作3,4,直接查找比k大/小的数有多少个,查找时顺便将范围内的点删除,再全放在k上即可
操作五像平衡树那样随便搞一搞就可以了..
对于操作六,根据对数的运算性质log(ab)=log(a)+log(b),可以考虑在权值线段树上顺便维护一下区间内对数和,转换为区间加法

代码如下:

#include<ctype.h>#include<cstdio>#include<cmath>#define N 400050using namespace std;const int INF=1000000000;inline int read(){    int x=0,f=1;char c;    do c=getchar(),f=c=='-'?-1:f; while(!isdigit(c));    do x=(x<<3)+(x<<1)+c-'0',c=getchar(); while(isdigit(c));    return x*f;}int n,t,x,y,k,top;int f[N];int Find(int k){    if(f[k]==k) return k;    return f[k]=Find(f[k]);}struct Node{    int l,r,sum;    double sum1;    Node *ls,*rs;    Node(int,int);    inline void maintain(){        sum=ls->sum+rs->sum;        sum1=ls->sum1+rs->sum1;        return;    }}*root[N],*null;Node::Node(int _,int __):l(_),r(__){    ls=rs=null;    sum1=sum=0;}void Merge(Node *&x,Node *&y){    if(y==null) return;    if(x==null){        x=y;        return;    }    x->sum+=y->sum;    x->sum1+=y->sum1;    Merge(x->ls,y->ls);Merge(x->rs,y->rs);}void Insert(int x,int v,Node *&k,int L,int R){    if(k==null) k=new Node(L,R);    if(k->l==k->r){        k->sum+=v;        k->sum1=k->sum*log(L);        return;    }    int mid=L+R>>1;    if(x<=mid) Insert(x,v,k->ls,L,mid);    else Insert(x,v,k->rs,mid+1,R);    k->maintain();}int Query(int x,int y,Node *&k){    if(k==null) return 0;    if(k->l>=x  && k->r<=y){        int t=k->sum;        k=null;        return t;    }    int mid=k->l+k->r>>1,t;    if(mid>=y) t=Query(x,y,k->ls);    else if(mid<x) t=Query(x,y,k->rs);    else t=Query(x,y,k->ls)+Query(x,y,k->rs);    if(k->l>=x && k->r<=y) k=null;    k->maintain();    return t;}int K_th(int x,Node *k){    if(k->l==k->r) return k->l;    if(k->ls->sum>=x) return K_th(x,k->ls);    return K_th(x-k->ls->sum,k->rs);///求第k大类似于平衡树}void Debug(Node *x){///调试orz....    if(x->ls!=null) Debug(x->ls);    if(x->rs!=null) Debug(x->rs);    printf("%d %d %d  %lf\n",x->l,x->r,x->sum,x->sum1);}int main(){    null=new Node(0,0);    null->ls=null->rs=null;    null->sum=null->sum1=0;    n=read();    for(int i=1;i<=n;i++){        t=read();        switch(t){            case 1: x=read(); Insert(x,1,(root[++top]=new Node(1,INF)),1,INF); f[top]=top; break;            case 2: x=Find(read()); y=Find(read()); if(x!=y) Merge(root[x],root[y]); f[y]=x; break;            case 3: x=Find(read()); y=read(); k=Query(1,y-1,root[x]); Insert(y,k,root[x],1,INF); break;            case 4: x=Find(read()); y=read(); k=Query(y+1,INF,root[x]); Insert(y,k,root[x],1,INF); break;            case 5: x=Find(read()); y=read(); printf("%d\n",K_th(y,root[x])); break;            case 6: x=Find(read()); y=Find(read()); puts(root[x]->sum1>root[y]->sum1?"1":"0"); break;            case 7: x=Find(read()); printf("%d\n",root[x]->sum); break;        }    }return 0;}
原创粉丝点击