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
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
翻译一下题目:
现有n根木棒,已知它们的长度和重量。要用一部木工机一根一根地加工这些木棒。该机器在加工过程中需要一定的准备时间,是用于清洗机器,调整工具和模板的。木工机需要的准备时间如下: (1)第一根木棒需要1min的准备时间; (2)在加工了一根长为l,重为w的木棒之后,接着加工一根长为ll(l<=ll),重为ww(w<=ww)的木棒是不需要任何准备时间的。否则需要一分钟的准备时间。 给定n根木棒,你要找到最少的准备时间。例如现在有长和重分别为(4,9),(5,2),(2,1),(3,5)和(1,4)的五根木棒,那么所需准备时间最少为2min,顺序为(1,4),(3,5),(4,9),(2,1),(5,2)。
简单的贪心,只需要不停的扫描这n个木棍,符合条件就继续往后扫,已经比过的直接跳过,到最后没了时间就+1,然后再从头扫描,用一个cnt来计数,循环结束的条件是cnt==n。 注意一定要先排序!!
1 #include2 #include 3 #include 4 #include //sort函数所需头文件 5 using namespace std; 6 7 struct stick 8 { 9 int l,w; //长度和重量10 int v; //用于标记木棒是否被处理11 }s[5500];12 13 int cmp(const stick &a,const stick &b)14 {15 if(a.l==b.l)16 return a.w =s[k].l&&s[i].w>=s[k].w) //之前找过的已经标记为1了,所以不可以再次使用45 {46 s[i].v=1;47 cnt++; //记录标记元素的个数48 k=i; //k指向当前处理的木棒49 }50 }51 }52 printf("%d\n",ans);53 }54 return 0;55 }