URAL 1078. Segments(DP)

题目链接

找出最高一个线段覆盖吧,很明显的O(n^2)的DP,注意排序的时候按长度排序。WA了一次,没有注意到题目中their endpoints do not coincide,他们的端点不能重合,我还以为输出要顺序有错误。。。得亏又看了遍题目。。

 1 #include <stdio.h>
 2 #include <string.h>
 3 #include <stdlib.h>
 4 struct segment
 5 {
 6     int x,y,len;
 7     int num;
 8 }p[501];
 9 int o[501],k[501],q[501];
10 int cmp(const void *a,const void *b)
11 {
12     return (*(struct segment *)a).len > (*(struct segment *)b).len?1:-1;
13 }
14 int main()
15 {
16     int i,j,n,t,max;
17     scanf("%d",&n);
18     for(i = 0;i <= n-1;i ++)
19     {
20         scanf("%d%d",&p[i].x,&p[i].y);
21         p[i].len = p[i].y-p[i].x;
22         p[i].num = i;
23     }
24     qsort(p,n,sizeof(p[0]),cmp);
25     o[0] = 1;k[0] = 0;
26     for(i = 1;i <= n-1;i ++)
27     {
28         max = 0;t = i;
29         for(j = 0;j <= i-1;j ++)
30         {
31             if(p[i].x < p[j].x&&p[i].y > p[j].y)
32             {
33                 if(o[j] > max)
34                 {
35                     max = o[j];
36                     t = j;
37                 }
38             }
39         }
40         o[i] = max+1;
41         k[i] = t;
42     }
43     max = 0;t = 0;
44     for(i = 0;i <= n-1;i ++)
45     {
46         if(max < o[i])
47         {
48             max = o[i];
49             t = i;
50         }
51     }
52     printf("%d\n",max);
53     for(i = 1;i <= max;i ++)
54     {
55         q[i] = p[t].num+1;
56         t = k[t];
57     }
58     for(i = max;i >= 1;i --)
59     {
60         if(i == max)
61         printf("%d",q[i]);
62         else
63         printf(" %d",q[i]);
64     }
65     printf("\n");
66     return 0;
67 }

 

 

posted @ 2012-07-22 15:56  Naix_x  阅读(231)  评论(0编辑  收藏  举报