hdu 1051:Wooden Sticks(水题,贪心)

Wooden Sticks

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 10423    Accepted Submission(s): 4287


Problem Description
There is a pile of n wooden sticks. The length and weight of each stick are known in advance. The sticks are to be processed by a woodworking machine in one by one fashion. It needs some time, called setup time, for the machine to prepare processing a stick. The setup times are associated with cleaning operations and changing tools and shapes in the machine. The setup times of the woodworking machine are given as follows: 

(a) The setup time for the first wooden stick is 1 minute. 
(b) Right after processing a stick of length l and weight w , the machine will need no setup time for a stick of length l' and weight w' if l<=l' and w<=w'. Otherwise, it will need 1 minute for setup. 

You are to find the minimum setup time to process a given pile of n wooden sticks. For example, if you have five sticks whose pairs of length and weight are (4,9), (5,2), (2,1), (3,5), and (1,4), then the minimum setup time should be 2 minutes since there is a sequence of pairs (1,4), (3,5), (4,9), (2,1), (5,2).
 

 

Input
The input consists of T test cases. The number of test cases (T) is given in the first line of the input file. Each test case consists of two lines: The first line has an integer n , 1<=n<=5000, that represents the number of wooden sticks in the test case, and the second line contains n 2 positive integers l1, w1, l2, w2, ..., ln, wn, each of magnitude at most 10000 , where li and wi are the length and weight of the i th wooden stick, respectively. The 2n integers are delimited by one or more spaces.
 

 

Output
The output should contain the minimum setup time in minutes, one per line.
 

 

Sample Input
5
4 9 5 2 2 1 3 5 1 4
3
2
2 1 1 2
2
3
1 3 2 2 3 1
 

 

Sample Output
2
1
3
 

 

Source
 

 

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  水题。
  先对木材长度 l 排序,在对 w 依次处理,将第一个递增序列筛选出来,筛选出来的元素赋值为-1,再将第二个递增序列筛选出来,同样标记-1 ,直到w序列全部为-1,代表筛选完成。输出记录下的递增序列的个数就是结果。
  还可以用贪心做,有时间再做一遍。
  代码:
 1 #include <iostream>
 2 
 3 using namespace std;
 4 struct stick{
 5     int l,w;
 6 }s[5010];
 7 int main()
 8 {
 9     int T;
10     cin>>T;
11     while(T--){
12         int n;
13         cin>>n;
14         for(int i=1;i<=n;i++)
15             cin>>s[i].l>>s[i].w;
16         //对l排序
17         for(int i=1;i<=n-1;i++)
18             for(int j=1;j<=n-i;j++){
19                 if(s[j].l>s[j+1].l){
20                     int t;
21                     t=s[j].l;s[j].l=s[j+1].l;s[j+1].l=t;
22                     t=s[j].w;s[j].w=s[j+1].w;s[j+1].w=t;
23                 }
24             }
25         int sum=0;  //递增序列的个数
26         //对w序列进行筛选
27         while(1){
28             int i;
29             for(i=1;i<=n;i++){  //如果全部为-1,则退出循环
30                 if(s[i].w!=-1)
31                     break;
32             }
33             if(i>n) break;
34             sum++;
35             int num=0;
36             for(i=1;i<=n;i++){
37                 if(num==0 && s[i].w!=-1){
38                     num=s[i].w;
39                     s[i].w=-1;
40                 }
41                 else if(s[i].w!=-1 && s[i].w>=num){
42                     num=s[i].w;
43                     s[i].w=-1;
44                 }
45             }
46         }
47         cout<<sum<<endl;
48 
49     }
50     return 0;
51 }

 

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posted @ 2014-03-11 17:30  Freecode#  阅读(344)  评论(0编辑  收藏  举报