Cutting Bamboos 主席树+二分+前缀和

二分第x次砍的位置,然后用线段树查询小于这个位置的数的个数和值的和。然后判断即可

注意!!!主席树是通过动态开点实现的,本身已经不用再从1开始了,而本题开的范围也应该是0,100000 而不是1,100000(害得我找了很久的错误)

#include<iostream>
#include<string.h>
#include<algorithm>
#include<stdio.h>
#include<math.h>
#define LL long long
using namespace std;
const int maxx = 200007;
const double eps = 1e-10;
struct node{
   LL l,r,cnt;
   LL w;
}tree[maxx<<5];
LL root[maxx];
LL a[maxx];
LL pre[maxx];
LL cnt;
LL num;
LL sumlength;
void inserts(LL l,LL r,LL pre,LL &now,LL pos){
     now=++cnt;
     tree[now]=tree[pre];
     tree[now].cnt++;
     tree[now].w=tree[now].w+pos;
     if (l==r){
        return;
     }
     LL mid=(l+r)>>1;
     if (pos<=mid){
        inserts(l,mid,tree[pre].l,tree[now].l,pos);
     }else {
        inserts(mid+1,r,tree[pre].r,tree[now].r,pos);
     }
}
void query(LL L,LL R,LL l,LL r,LL pos){
   // if (l>pos)return;
    if (l==r){
        num+=(tree[R].cnt-tree[L].cnt);
        sumlength+=(tree[R].w-tree[L].w);
        return ;
    }
    LL mid=(l+r)>>1;
    if (pos<=mid){
       query(tree[L].l,tree[R].l,l,mid,pos);
    }else{
       num+=(tree[tree[R].l].cnt-tree[tree[L].l].cnt);
       sumlength+=(tree[tree[R].l].w-tree[tree[L].l].w);
       query(tree[L].r,tree[R].r,mid+1,r,pos);
    }
}
int main(){
  LL n,q;
   while(~scanf("%lld%lld",&n,&q)){
      pre[0]=0;
      cnt=0;
      for (int i=1;i<=n;i++){
        scanf("%lld",&a[i]);
        pre[i]=pre[i-1]+a[i];
        inserts(0,100000,root[i-1],root[i],a[i]);
      }
      LL ll,rr;
      LL x,y;
    while(q--){
      scanf("%lld%lld%lld%lld",&ll,&rr,&x,&y);
      double l=0,r=100000;
      double ans=0;
      while(fabs(r-l)>eps){
          double mid=(l+r)/2;
          num=0;
          sumlength=0;
          LL ss=floor(mid);
          query(root[ll-1],root[rr],0,100000,ss);
          num=(rr-ll+1)-num;
          double s=num*mid+sumlength;
          double step=1.0*(pre[rr]-pre[ll-1])/y;
          if (s-step*(y-x)>eps){
            r=mid;
          }else{
            l=mid;
          }
      }
      printf("%.10f\n",l);
    }
   }
   return 0;
}

 

posted @ 2019-08-20 10:23  bluefly-hrbust  阅读(163)  评论(0编辑  收藏  举报