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).
(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
3
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
Recommend
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 }
Freecode : www.cnblogs.com/yym2013