Lost Cows 线段树

Lost Cows 线段树

Lost Cows

Time Limit: 1000MS		Memory Limit: 65536K
Total Submissions: 2992		Accepted: 1864

Description

N (2 <= N <= 8,000) cows have unique brands in the range 1..N. In a spectacular display of poor judgment, they visited the neighborhood 'watering hole' and drank a few too many beers before dinner. When it was time to line up for their evening meal, they did not line up in the required ascending numerical order of their brands.

Regrettably, FJ does not have a way to sort them. Furthermore, he's not very good at observing problems. Instead of writing down each cow's brand, he determined a rather silly statistic: For each cow in line, he knows the number of cows that precede that cow in line that do, in fact, have smaller brands than that cow.

Given this data, tell FJ the exact ordering of the cows.

Input

* Line 1: A single integer, N

* Lines 2..N: These N-1 lines describe the number of cows that precede a given cow in line and have brands smaller than that cow. Of course, no cows precede the first cow in line, so she is not listed. Line 2 of the input describes the number of preceding cows whose brands are smaller than the cow in slot #2; line 3 describes the number of preceding cows whose brands are smaller than the cow in slot #3; and so on.

Output

* Lines 1..N: Each of the N lines of output tells the brand of a cow in line. Line #1 of the output tells the brand of the first cow in line; line 2 tells the brand of the second cow; and so on.

Sample Input

5
1
2
1
0

Sample Output

2
4
5
3
1
题目大意是根据所给的数n（在这个数前面存在n个比这个数小的），求出原数列；
构造线段树的代码如下

  
  
  
  

   
   
   
   
   
   
   
   #include
   
   
   
   <
   
   
   
   malloc.h
   
   
   
   >
   
   
   
   

   
   
   
   struct
   
   
   
    node
   
   
   
   
   
   
   
   {
    int l,r;
    int len;
    node *lchild,*rchild;    
}
   
   
   
   Segment_Tree;

   
   
   
   void
   
   
   
    Build(node
   
   
   
   *
   
   
   
    now,
   
   
   
   int
   
   
   
    l,
   
   
   
   int
   
   
   
    r)
   
   
   
   
   
   
   
   {
    now->l=l;
    now->r=r;
    now->len=r-l+1;
    if(r>l){
        int mid=(l+r)>>1;
        now->lchild=(node*)malloc(sizeof(node));
        now->rchild=(node*)malloc(sizeof(node));
        Build(now->lchild,l,mid);
        Build(now->rchild,mid+1,r);    
    }
    return ;
}
   
   
   
   

   
   
   
   int
   
   
   
    FindNum(node
   
   
   
   *
   
   
   
    now,
   
   
   
   int
   
   
   
    num)
   
   
   
   
   
   
   
   {
    now->len--;
    if(now->l==now->r)
        return now->l;
    else if((now->lchild)->len>=num)
        return     FindNum(now->lchild,num);
    else return FindNum(now->rchild,num-((now->lchild)->len));
}