hdu2665可持久化线段树,求区间第K大

Kth number

Time Limit: 15000/5000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 12984    Accepted Submission(s): 3962


Problem Description
Give you a sequence and ask you the kth big number of a inteval.
 
Input
The first line is the number of the test cases.
For each test case, the first line contain two integer n and m (n, m <= 100000), indicates the number of integers in the sequence and the number of the quaere.
The second line contains n integers, describe the sequence.
Each of following m lines contains three integers s, t, k.
[s, t] indicates the interval and k indicates the kth big number in interval [s, t]
 
Output
For each test case, output m lines. Each line contains the kth big number.
 
Sample Input
1
10 1
1 4 2 3 5 6 7 8 9 0
1 3 2
 
Sample Output
2
 
 
#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
const int N=100010;

int T[N],num[N],san[N];
int ls[N*20],rs[N*20],sum[N*20];
int tot,n,m;
void Update(int last,int p,int l,int r,int &rt){
    rt=++tot;
    ls[rt]=ls[last];
    rs[rt]=rs[last];
    sum[rt]=sum[last]+1;
    if(l==r) return;
    int m=(l+r)>>1;
    if(p<=m) Update(ls[last],p,l,m,ls[rt]);
    else Update(rs[last],p,m+1,r,rs[rt]); 
}
int Query(int ss,int tt,int l,int r,int k){
    if(l==r) return l;
    int m=(l+r)>>1;
    int cnt=sum[ls[tt]]-sum[ls[ss]];
    if(k<=cnt) return Query(ls[ss],ls[tt],l,m,k);
    else return Query(rs[ss],rs[tt],m+1,r,k-cnt);
}
void work(){
    int l,r,k;
    for(int i=1;i<=n;++i) {
        scanf("%d",num+i);
        san[i]=num[i];
    }
    tot=0;
    sort(san+1,san+n+1);
    int cnt=unique(san+1,san+n+1)-san-1;for(int i=1;i<=n;++i)
    num[i]=lower_bound(san+1,san+cnt+1,num[i])-san;
    for(int i=1;i<=n;++i) Update(T[i-1],num[i],1,cnt,T[i]);
    while(m--) {
        scanf("%d%d%d",&l,&r,&k);
        int id=Query(T[l-1],T[r],1,cnt,k);
        printf("%d
",san[id]);
    }
}
int main(){
    int T;
    for(scanf("%d",&T);T--;){
        scanf("%d%d",&n,&m);
        work();
    }
}
 
原文地址:https://www.cnblogs.com/mfys/p/7736186.html