Wooden Sticks |
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others) |
Total Submission(s): 2471 Accepted Submission(s): 955 |
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.
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Output
The output should contain the minimum setup time in minutes, one per line.
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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
Asia 2001, Taejon (South Korea)
/*贪心算法*/ #include<stdio.h> #include<stdlib.h> #include<string.h> struct wooden { int length; int weight; int flag; }; int cmp(const void *a,const void *b) { struct wooden *c=(struct wooden *)a;//类型转换 struct wooden *d=(struct wooden *)b; if(c->length==d->length) { return c->weight - d->weight;//按照weight大小排序 由小到大 } else return c->length - d->length;//由小到大 } int main() { int num=0; int n=0; int i=0,j=0,k=0; int max=0; int time=0; struct wooden wood[5001]; scanf("%d",&num); for(i=0;i<num;i++) { memset(wood,0,sizeof(struct wooden)*5001);//标志位清0 scanf("%d",&n); for(j=0;j<n;j++) { scanf("%d%d",&wood[j].length,&wood[j].weight); } qsort(wood,n,sizeof(struct wooden),cmp);//全部按照从小到大排序 time=0; for(j=0;j<n;j++) { if(wood[j].flag) continue;//等于1表示处理过了 max=wood[j].weight; for(k=j+1;k<n;k++) { if(wood[k].weight>=max && !wood[k].flag ) { max=wood[k].weight; wood[k].flag=1; } } time++; } printf("%d\n",time); } return 0; } |
原文地址:http://blog.csdn.net/u010275850/article/details/45226329