BZOJ 1901 Zju2112 Dynamic Rankings ——整体二分

【题目分析】

    上次用树状数组套主席树做的，这次用整体二分去水。

    把所有的查询的结果一起进行二分，思路很好。

【代码】

#include <cstdio>
#include <cstring>
#include <cstdlib>
#include <cmath>
 
#include <set>
#include <map>
#include <string>
#include <algorithm>
#include <vector>
#include <iostream>
#include <queue>
using namespace std;
 
#define maxn 100005
#define inf (0x3f3f3f3f)
 
int read()
{
    int x=0,f=1; char ch=getchar();
    while (ch<'0'||ch>'9') {if (ch=='-') f=-1; ch=getchar();}
    while (ch>='0'&&ch<='9') {x=x*10+ch-'0'; ch=getchar();}
    return x*f;
}
 
struct node{
    int x,y,k;
    int id,opt;
    void print() {
        printf("%d %d %d %d %d\n", x, y, k, id, opt);
    }
}now;
 
int n,m,a[maxn],ans[maxn]; 
char s[15];
node q[maxn<<1],q1[maxn],q2[maxn];
int cnt=0,bit[maxn<<1],tot=0;
 
void add(int x,int f)
{
//  printf("add %d %d\n",x,f);
    for (;x<=n;x+=x&-x) bit[x]+=f;
}
 
int sum(int x)
{
    int ret=0;
//  printf("sum %d ",x);
    for (;x;x-=x&-x) ret+=bit[x];
//  printf("is %d\n",x,ret);
    return ret;
}
 
void solve(int ql,int qr,int l,int r)
{
//  printf("solve %d %d %d %d\n",ql,qr,l,r);
    if (ql>qr) return ;
    if (l==r)
    {
        for (int i=ql;i<=qr;++i)
            if (q[i].opt==2) ans[q[i].id]=l;    
        return;
    }
    int mid=l+r>>1,p1=0,p2=0;
    for (int i=ql;i<=qr;++i)
    {
        if (q[i].opt==1)
        {
            if (q[i].x<=mid)
            {
                add(q[i].id,q[i].y);
                q1[++p1]=q[i];
            }
            else q2[++p2]=q[i];
        }
        else
        {
            int tmp=sum(q[i].y)-sum(q[i].x-1);
//          printf("tmp is %d\n");
            if (q[i].k<=tmp) q1[++p1]=q[i];
            else
            {
//              cout<<q[i].x<<" "<<q[i].y<<"goto r "<<endl;
                q[i].k-=tmp;
                q2[++p2]=q[i];
            }
        }
    }
    for (int i=1;i<=p1;++i)
        if (q1[i].opt==1)
            add(q1[i].id,-q1[i].y);
    for (int i=1;i<=p1;++i) q[ql+i-1]=q1[i];
    for (int i=1;i<=p2;++i) q[ql+p1+i-1]=q2[i];
//  getchar();
    solve(ql,ql+p1-1,l,mid);
    solve(ql+p1,qr,mid+1,r);
}
 
int main()
{
    n=read();m=read();
    for (int i=1;i<=n;++i)
    {
        a[i]=now.x=read();now.y=1;now.k=inf;
        now.id=i; now.opt=1;
        q[++cnt]=now;
    }
    for (int i=1;i<=m;++i)
    {
        scanf("%s",s);
        if (s[0]=='Q')
        {
            now.x=read();now.y=read();now.k=read();
            now.id=++tot;now.opt=2;
            q[++cnt]=now;
        }
        else
        {
            int xx=read();
            now.x=a[xx];now.y=-1;now.k=inf;now.id=xx;now.opt=1;
            q[++cnt]=now;
            a[xx]=read();
            now.x=a[xx];now.y=1;now.k=inf;now.id=xx;now.opt=1;
            q[++cnt]=now;
        }
    }
//  for (int i=1;i<=cnt;++i) q[i].print();
    solve(1,cnt,0,inf);
    for (int i=1;i<=tot;++i) printf("%d\n",ans[i]);
}