Wooden Sticks
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 26095 Accepted Submission(s): 10554
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
有若干组木棍:木棍的长度为I 重为W 现在用机器加工这些木头: 规则如下:
1;加工第一组木头会花去1分钟
2:设加工的下一组木头的长度为 I' 重量为W‘ 如果 I=
问,所花费的最少时间是多少?
可以先按长度和重量从小到大排序,长度相同按重量从小到大排
每次从最前面没选过的开始,计算有多少种递增子序列,加一点技巧会更清楚,具体看代码中间的while部分
1 #include2 using namespace std; 3 struct node 4 { 5 int l,w,flag; 6 }a[5005]; 7 void init() 8 { 9 for(int i=0;i<5005;i++) 10 { 11 a[i].l=0;a[i].w=0;a[i].flag=1; 12 } 13 } 14 bool cmp(node x,node y) 15 { 16 if(x.l==y.l)return x.w<y.w; 17 else return x.l<y.l; 18 } 19 int main() 20 { 21 int t; 22 while(~scanf("%d",&t)) 23 { 24 while(t--) 25 { 26 init(); 27 int n; 28 scanf("%d",&n); 29 for(int i=0;i ) 30 { 31 scanf("%d %d",&a[i].l,&a[i].w); 32 } 33 sort(a,a+n,cmp); 34 // for(int i=0;i 35 // { 36 // printf("%d %d\n",a[i].l,a[i].w); 37 // } 38 int ans=0,j=0; 39 while(j 判断有没有全部选完 ,核心部分 40 { 41 ans++; 42 int tempx=0,tempy=0; 43 for(int i=0;i// ) 44 { 45 if(a[i].l>=tempx&&a[i].w>=tempy&&a[i].flag)//flag==1表示没有被选过 46 { 47 a[i].flag=0;//选过的标记,下次就不选了 48 j++; 49 tempx=a[i].l; 50 tempy=a[i].w; 51 } 52 } 53 } 54 printf("%d\n",ans); 55 } 56 } 57 return 0; 58 }