hdu 4006 线段树插入与单点更新
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The kth great number
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65768/65768 K (Java/Others)Problem Description
Xiao Ming and Xiao Bao are playing a simple Numbers game. In a round Xiao Ming can choose to write down a number, or ask Xiao Bao what the kth great number is. Because the number written by Xiao Ming is too much, Xiao Bao is feeling giddy. Now, try to help Xiao Bao.
Input
There are several test cases. For each test case, the first line of input contains two positive integer n, k. Then n lines follow. If Xiao Ming choose to write down a number, there will be an " I" followed by a number that Xiao Ming will write down. If Xiao Ming choose to ask Xiao Bao, there will be a "Q", then you need to output the kth great number.
Output
The output consists of one integer representing the largest number of islands that all lie on one line.
Sample Input
8 3I 1I 2I 3QI 5QI 4Q
Sample Output
123HintXiao Ming won't ask Xiao Bao the kth great number when the number of the written number is smaller than k. (1=<k<=n<=1000000).
线段树每个节点保存当前编号的数出现的次数。每次查询从小到大第N-K+1个数(N为当前数的总数)。
代码:
#include <iostream>#define MAXN 1000100#include <stdio.h>using namespace std;struct Tree{ int l,r; int res;} tree[MAXN*4];int ans[MAXN],n,k;void build(int root,int l,int r){ tree[root].l=l; tree[root].r=r; if(l==r) { tree[root].res=0; return; } int mid=(r+l)/2; build(root*2,l,mid); build(root*2+1,mid+1,r); tree[root].res=tree[root<<1].res+tree[root<<1|1].res;}int query(int root,int pos,int l,int r){ int ret; if(l==r) { return l; } else {int m=(l+r)/2; if(pos<=tree[root*2].res) ret=query(root*2,pos,l,m); else ret=query(root*2+1,pos-tree[root*2].res,m+1,r); } return ret;}void update(int root,int l,int r,int pos){ if(l==r) { tree[root].res++; return; } int m=(l+r)/2; if(pos<=m) update(root<<1,l,m,pos); else update(root<<1|1,m+1,r,pos); tree[root].res=tree[root<<1].res+tree[root<<1|1].res;}void solve(){ char a[5]; int ff; build(1,1,MAXN); int counts=0; for(int i=1;i<=n;i++) { scanf("%s",a); if(a[0]=='I') { scanf("%d",&ff); update(1,1,MAXN,ff); counts++; } else printf("%d\n",query(1,counts-k+1,1,MAXN)); }}int main(){ while(scanf("%d%d",&n,&k)!=EOF) solve(); return 0;}
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