Bzoj 2006 [NOI2010] Super Piano chairman Tree + heap

Source: Internet
Author: User
link : Method: Chairman Tree + heap parsing: we think about it that way. for each point that can be the right endpoint. We're going to take the first K-sum[i]−sum[j−1] sum[i]-sum[j-1], first dealing with all the smallest of the vertices that can be the right endpoint. and then we take the biggest lump. and then for the right endpoint of the lump that was taken. The smallest-sum[j in front of it has been unable to take. so to take the 2nd small-sum[j], then throw the value into the heap. then keep on doing so, from the heap to take K can be. This involves an interval to take the K small operation. so the last President tree is good. What is the complexity of this? O (KLOGN), can not be too empty. Code:
#include <cstdio> #include <cstring> #include <iostream> #include <algorithm> #define N 500010 #d
Efine M 20000000 #define INF 0x3f3f3f3f using namespace std;
typedef long Long LL;
int n,k,l,r,size,heap_root; 
int ch[n][2];
int limit[n];
int fa[n];
int root[n];
int lson[m];
int rson[m];
int siz[m];
int sum[n];
int rnk[n];
int val[n];
int h[n];
int a[n];
    int find (int x) {while (fa[x]) x=fa[x];
return x; int merge (int x,int y) {if (!x) | | (!y))
    return x+y;
    if (Val[x]<val[y]) swap (x,y);
    Ch[x][1]=merge (Ch[x][1],y);
    Fa[ch[x][1]]=x;
    if (H[ch[x][1]]>h[ch[x][0]]) swap (ch[x][1],ch[x][0]);
    h[x]=h[ch[x][1]]+1;
return x;
    } void Insert (int l,int r,int x,int &y,int val) {y=++size;
    siz[y]=siz[x]+1;
    if (l==r) return;
    LSON[Y]=LSON[X],RSON[Y]=RSON[X];
    int mid= (L+R) >>1;
    if (val<=mid) insert (l,mid,lson[x],lson[y],val);
else insert (mid+1,r,rson[x],rson[y],val);
int query (int l,int r,int x,int y,int kth) {    if (l==r) return l;
    int mid= (L+R) >>1;
    int num=siz[lson[y]]-siz[lson[x]];
    if (num<kth) return query (Mid+1,r,rson[x],rson[y],kth-num);
else return query (L,MID,LSON[X],LSON[Y],KTH);
    int main () {h[0]=-1;
    scanf ("%d%d%d%d", &n,&k,&l,&r);
    Insert (-inf,inf,0,root[1],0);
        for (int i=2;i<=n+1;i++) {int x;
        scanf ("%d", &x);
        Sum[i]=sum[i-1]+x;
        Insert (-inf,inf,root[i-1],root[i],sum[i]);
    Rnk[i]=1; 
    } Val[l+1]=sum[l+1]; for (int i=l+2;i<=n+1;i++) {if (i<=r+1) {val[i]=sum[i]-query (-inf,inf,root[1-1],root
            [I-l],rnk[i]);
        limit[i]=i-l+1;
            else {int t=query (-inf,inf,root[i-r-1],root[i-l],rnk[i]);
            Val[i]=sum[i]-query (-inf,inf,root[i-r-1],root[i-l],rnk[i]);
        limit[i]=r-l+1;
        } rnk[i]++;
        Heap_root=merge (Find (i-1), i);
    fa[heap_root]=0; ll Ans=0;
    for (int i=1;i<=k;i++) {Ans+=val[heap_root];
        int flag=0; if (Rnk[heap_root]<=limit[heap_root]) {if (heap_root<=r) {Val[heap_r
            Oot]=sum[heap_root]-query (-inf,inf,root[1-1],root[heap_root-l],rnk[heap_root]); else {val[heap_root]=sum[heap_root]-query (-inf,inf,root[heap_root-r-1],root[he
            Ap_root-l],rnk[heap_root]);
        } flag=1;
        } rnk[heap_root]++;
        int pre=heap_root;
        Heap_root=merge (ch[heap_root][0],ch[heap_root][1]);
        fa[heap_root]=0;
        fa[pre]=0,ch[pre][0]=ch[pre][1]=0;
    if (flag) {heap_root=merge (heap_root,pre); fa[heap_root]=0;}
printf ("%lld\n", ans); }

Contact Us

The content source of this page is from Internet, which doesn't represent Alibaba Cloud's opinion; products and services mentioned on that page don't have any relationship with Alibaba Cloud. If the content of the page makes you feel confusing, please write us an email, we will handle the problem within 5 days after receiving your email.

If you find any instances of plagiarism from the community, please send an email to: info-contact@alibabacloud.com and provide relevant evidence. A staff member will contact you within 5 working days.

A Free Trial That Lets You Build Big!

Start building with 50+ products and up to 12 months usage for Elastic Compute Service

  • Sales Support

    1 on 1 presale consultation

  • After-Sales Support

    24/7 Technical Support 6 Free Tickets per Quarter Faster Response

  • Alibaba Cloud offers highly flexible support services tailored to meet your exact needs.