Wooden Sticks
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Wooden Sticks
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 22332 Accepted Submission(s): 8992
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
213
Source
Asia 2001, Taejon (South Korea)
思路:用结构体存储其l和w,然后对l由小到大排序。如测试数据 6 4 9 5 2 2 1 3 5 1 4 5 7 来说:前者为 L,后者为 W,对 L 结构体二重排序,得到 L 是有序的,W无序,即(L , W) (1,4)(2,1)(3,5)(4,9)(5,2)(7,1),再比较前后两个的 W。如 1<4, 1就不在以4为起点的链条内,5>=4 , 5在以4为起点的链条内,9>=4, 9在以4为起点的链条内。。。。最后以W=4为起点的链条内的有(1,4)( 3, 5) ( 4, 9)...在以W=1为起点的链条内的有(2,1)(5,2)...以W=7为起点的链条内的有(7,1)。有三条链,于是sum=3。
#include<stdio.h>#include<algorithm>using namespace std;struct Node{int x;int y;}node[5001];int cmp(Node a,Node b){if(a.x==b.x)return a.y<b.y;else return a.x<b.x;}int main(){int t;scanf("%d",&t);while(t--){int n;scanf("%d",&n);for(int i=0;i<n;i++)scanf("%d%d",&node[i].x,&node[i].y);sort(node,node+n,cmp);int sum=0;int sss;for(int i=0;i<n;i++){if(node[i].x!=0){sum++;sss=node[i].y;for(int j=i+1;j<n;j++){if(node[j].x!=0&&sss<=node[j].y){sss=node[j].y;node[j].x=0;}}}}printf("%d\n",sum);}}
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