ZYB's Premutation(有逆序数输出原序列,线段树)

ZYB's Premutation

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 131072/131072 K (Java/Others) Total Submission(s): 758    Accepted Submission(s): 359

Problem Description
ZYB has a premutation P,but he only remeber the reverse log of each prefix of the premutation,now he ask you to  restore the premutation.
Pair (i,j)(i<j) is considered as a reverse log if Ai>Aj is matched.
 
Input
In the first line there is the number of testcases T.
For each teatcase:
In the first line there is one number N.
In the next line there are N numbers Ai,describe the number of the reverse logs of each prefix,
The input is correct.
1≤T≤5,1≤N≤50000
 
Output
For each testcase,print the ans.
 
Sample Input
1
3
0 1 2
 
Sample Output
3 1 2
 
Source
 

题意:

已知【1,i】的逆序数,让你还原这个区间;
思路:用数组记录第i个数前面比a[i]大的数的个数;
用线段树记录当前区间的空缺数;类似与买车票插队那道;然后从最后一个数开始,往线段树中插;a[i]越大代表这个数越小;就往左树插,插到相应位置这个位置被用过了;也就是0;
为什么要从后往前插;因为如果从前往后假设一组数1,2,3,4;插得结果会是4,3,2,1;那样就错了;倒插是1,2,3,4;
代码:
#include<iostream>
#include<cstring>
#include<cstdio>
#include<cmath>
#include<algorithm>
#include<queue>
#include<vector>
using namespace std;
const int INF=0x3f3f3f3f;
#define SI(x) scanf("%d",&x)
#define PI(x) printf("%d",x)
#define P_ printf(" ")
#define T_T while(T--)
#define mem(x,y) memset(x,y,sizeof(x))
#define ll root<<1
#define rr root<<1|1
#define lson root<<1,l,mid
#define rson root<<1|1,mid+1,r
#define V(x) tree[x]
const int MAXN=50010;
int tree[MAXN<<2],a[MAXN],ans[MAXN];
int nowans;
void pushup(int root){
V(root)=V(ll)+V(rr);
}
void made(int root,int l,int r){
V(root)=r-l+1;
int mid=(l+r)>>1;
if(l==r)return;
made(lson);
made(rson);
}
void query(int root,int l,int r,int v){
if(l==r){
nowans=l;
V(root)=0;
return;
}
int mid=(l+r)>>1;
if(v>=V(rr))query(lson,v-V(rr));
else query(rson,v);
pushup(root);
}
int main(){
int T,N;
SI(T);
T_T{
SI(N);
made(1,1,N);
int cur,last=0;
for(int i=0;i<N;i++){
scanf("%d",&cur);
a[i]=cur-last;
last=cur;
}
for(int i=N-1;i>=0;i--){
query(1,1,N,a[i]);
ans[i]=nowans;
}
for(int i=0;i<N;i++){
if(i)P_;
printf("%d",ans[i]);
}puts("");
}
return 0;
}

  


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