线段树(维护最大值):HDU Billboard

本文介绍了一个关于公告牌布局的问题及解决方法。问题涉及在限定高度和宽度的公告牌上,如何放置不同宽度的纸条公告,并输出每条公告所在的行号。通过使用分治策略维护最大可用宽度,实现了高效的布局算法。

Billboard

Time Limit: 20000/8000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 17190    Accepted Submission(s): 7266


Problem Description
At the entrance to the university, there is a huge rectangular billboard of size h*w (h is its height and w is its width). The board is the place where all possible announcements are posted: nearest programming competitions, changes in the dining room menu, and other important information.

On September 1, the billboard was empty. One by one, the announcements started being put on the billboard.

Each announcement is a stripe of paper of unit height. More specifically, the i-th announcement is a rectangle of size 1 * wi.

When someone puts a new announcement on the billboard, she would always choose the topmost possible position for the announcement. Among all possible topmost positions she would always choose the leftmost one.

If there is no valid location for a new announcement, it is not put on the billboard (that's why some programming contests have no participants from this university).

Given the sizes of the billboard and the announcements, your task is to find the numbers of rows in which the announcements are placed.
 

 

Input
There are multiple cases (no more than 40 cases).

The first line of the input file contains three integer numbers, h, w, and n (1 <= h,w <= 10^9; 1 <= n <= 200,000) - the dimensions of the billboard and the number of announcements.

Each of the next n lines contains an integer number wi (1 <= wi <= 10^9) - the width of i-th announcement.
 

 

Output
For each announcement (in the order they are given in the input file) output one number - the number of the row in which this announcement is placed. Rows are numbered from 1 to h, starting with the top row. If an announcement can't be put on the billboard, output "-1" for this announcement.
 

 

Sample Input
3 5 5 2 4 3 3 3
 

 

Sample Output
1 2 1 3 -1
 
  这题不断维护最大值就可以了。
 1 #include <iostream>
 2 #include <cstring>
 3 #include <cstdio>
 4 using namespace std;
 5 const int maxn=200010;
 6 int t[maxn<<2];
 7 int h,w,n,x;
 8 
 9 void Build(int node,int l,int r)
10 {
11     t[node]=w;
12     if(l==r)return;
13     int mid=(l+r)>>1;
14     Build(node<<1,l,mid);
15     Build(node<<1|1,mid+1,r);
16 }
17 
18 void Query(int node,int l,int r,int q)
19 {
20     if(l==r){
21         printf("%d\n",l);
22         t[node]-=q;
23         return;
24     }
25     int mid=(l+r)>>1,a=node<<1,b=a+1;
26     if(t[a]>=q)Query(a,l,mid,q);
27     else Query(b,mid+1,r,q);
28     t[node]=max(t[a],t[b]);
29     return;    
30 }
31 int main()
32 {
33     while(~scanf("%d%d%d",&h,&w,&n)){    
34         h=min(n,h);    
35         Build(1,1,h);
36         for(int i=1;i<=n;i++){
37             scanf("%d",&x);
38             if(x>t[1])
39                 printf("-1\n");
40             else    
41                 Query(1,1,h,x);
42         }
43     }
44     return 0;    
45 }

 

转载于:https://www.cnblogs.com/TenderRun/p/5272951.html

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